| Citation: | LI Shiqiang, LI Zihao, WANG Zhihua, LU Guoxing. Research Progress on Design Strategies and Impact Resistance of Heterogeneous Cellular Structures Material[J]. Chinese Journal of High Pressure Physics, 2026, 40(7): 070102. doi: 10.11858/gywlxb.20261041 |
| [1] |
LI S H, YANG R, SUN S Y, et al. Advances in the analysis of honeycomb structures: a comprehensive review [J]. Composites Part B: Engineering, 2025, 296: 112208. doi: 10.1016/j.compositesb.2025.112208
|
| [2] |
MIAO X, HU J X, XU Y Y, et al. Review on mechanical properties of metal lattice structures [J]. Composite Structures, 2024, 342: 118267. doi: 10.1016/j.compstruct.2024.118267
|
| [3] |
YIN H F, ZHANG W Z, ZHU L C, et al. Review on lattice structures for energy absorption properties [J]. Composite Structures, 2023, 304(Pt 1): 116397.
|
| [4] |
CHARKAOUI A, HASSAN N M, BAHROUN Z. Enhancing mechanical properties of cellular core sandwich panels: a review of topological parameters and design improvements [J]. Materials Research Express, 2023, 10(10): 102001. doi: 10.1088/2053-1591/acfb60
|
| [5] |
SAHU S K, SREEKANTH P S R, REDDY S V K. A brief review on advanced sandwich structures with customized design core and composite face sheet [J]. Polymers, 2022, 14(20): 4267. doi: 10.3390/polym14204267
|
| [6] |
MOHAMMADI H, AHMAD Z, PETRŮ M, et al. An insight from nature: honeycomb pattern in advanced structural design for impact energy absorption [J]. Journal of Materials Research and Technology, 2023, 22: 2862–2887. doi: 10.1016/j.jmrt.2022.12.063
|
| [7] |
CHORDIYA Y M, GOEL M D, MATSAGAR V A. Sandwich panels with honeycomb and foam cores subjected to blast and impact load: a revisit to past work [J]. Archives of Computational Methods in Engineering, 2023, 30(4): 2355–2381. doi: 10.1007/s11831-022-09869-7
|
| [8] |
KAMBLE Z. Advanced structural and multi-functional sandwich composites with prismatic and foam cores: a review [J]. Polymer Composites, 2024, 45(18): 16355–16382. doi: 10.1002/PC.27849
|
| [9] |
SINGH P, SHEIKH J, BEHERA B K. Metal-faced sandwich composite panels: a review [J]. Thin-Walled Structures, 2024, 195: 111376. doi: 10.1016/j.tws.2023.111376
|
| [10] |
YU Z, SAVINOV R, MATURA M, et al. Current research status on advanced lattice structures for impact and energy absorption applications: a systematic review [J]. Thin-Walled Structures, 2025, 215: 113490. doi: 10.1016/j.tws.2025.113490
|
| [11] |
CHEN C Q, HE Y L, CHEN Y L, et al. Impact dynamics of mechanical metamaterials: a short review and perspective [J]. Forces in Mechanics, 2025, 21: 100335. doi: 10.1016/j.finmec.2025.100335
|
| [12] |
HARITHSA S N, HIREMATH S S. A review on crashworthiness of hierarchical and fractal multicellular structures: state of the art and prospects [J]. Composite Structures, 2025, 368: 119278. doi: 10.1016/j.compstruct.2025.119278
|
| [13] |
CHEN D, GAO K, YANG J, et al. Functionally graded porous structures: analyses, performances, and applications—a review [J]. Thin-Walled Structures, 2023, 191: 111046. doi: 10.1016/j.tws.2023.111046
|
| [14] |
MA N F, HAN Q, HAN S H, et al. Hierarchical re-entrant honeycomb metamaterial for energy absorption and vibration insulation [J]. International Journal of Mechanical Sciences, 2023, 250: 108307. doi: 10.1016/j.ijmecsci.2023.108307
|
| [15] |
VELOSO F, GOMES-FONSECA J, MORAIS P, et al. Overview of methods and software for the design of functionally graded lattice structures [J]. Advanced Engineering Materials, 2022, 24(11): 2200483. doi: 10.1002/adem.202200483
|
| [16] |
WANG G X, LIU F Y, DENG X L. In-plane mechanical behavior design of triangular gradient rib honeycombs [J]. Thin-Walled Structures, 2024, 205: 112415. doi: 10.1016/j.tws.2024.112415
|
| [17] |
FENG G Z, LI S, XIAO L J, et al. Mechanical properties and deformation behavior of functionally graded TPMS structures under static and dynamic loading [J]. International Journal of Impact Engineering, 2023, 176: 104554. doi: 10.1016/j.ijimpeng.2023.104554
|
| [18] |
WANG W J, ZHANG W M, GUO M F, et al. Energy absorption characteristics of a lightweight auxetic honeycomb under low-velocity impact loading [J]. Thin-Walled Structures, 2023, 185: 110577. doi: 10.1016/j.tws.2023.110577
|
| [19] |
YUE L, LIU H, CHENG Z Q, et al. Dynamic crushing behavior of a novel bi-directional gradient lattice structure under axial and oblique impact loadings [J]. Thin-Walled Structures, 2024, 198: 111697. doi: 10.1016/j.tws.2024.111697
|
| [20] |
YU X, DING J H, LIU P, et al. Design of hierarchical surface lattice microstructures with isotropic stiffness, strength and energy absorption [J]. Composite Structures, 2025, 373: 119645. doi: 10.1016/j.compstruct.2025.119645
|
| [21] |
WU J C, YANG F, LI L B, et al. Multi-feature bionic gradient hierarchical lattice metamaterials with multi-synergistic crushing mechanisms [J]. International Journal of Mechanical Sciences, 2024, 283: 109383. doi: 10.1016/j.ijmecsci.2024.109383
|
| [22] |
CUI C Y, CHEN L, FENG S, et al. Novel cuttlebone-inspired hierarchical bionic structure enabled high energy absorption [J]. Thin-Walled Structures, 2023, 186: 110693. doi: 10.1016/j.tws.2023.110693
|
| [23] |
WANG Y J, XU F, GAO H J, et al. Elastically isotropic truss-plate-hybrid hierarchical microlattices with enhanced modulus and strength [J]. Small, 2023, 19(18): 2206024. doi: 10.1002/smll.202206024
|
| [24] |
WANG G X, CAI Z Z, DENG X L. In-plane dynamic impact mechanical properties of novel bi-directional hierarchical honeycomb [J]. Engineering Fracture Mechanics, 2024, 300: 110009. doi: 10.1016/j.engfracmech.2024.110009
|
| [25] |
HE Y C, BI Z F, WANG T T, et al. Design and mechanical properties analysis of hexagonal perforated honeycomb metamaterial [J]. International Journal of Mechanical Sciences, 2024, 270: 109091. doi: 10.1016/j.ijmecsci.2024.109091
|
| [26] |
DU PLESSIS A, RAZAVI N, BENEDETTI M, et al. Properties and applications of additively manufactured metallic cellular materials: a review [J]. Progress in Materials Science, 2022, 125: 100918. doi: 10.1016/j.pmatsci.2021.100918
|
| [27] |
JING S K, LI W, MA G H, et al. Enhancing mechanical properties of 3D printing metallic lattice structure inspired by bambusa emeiensis [J]. Materials, 2023, 16(7): 2545. doi: 10.3390/ma16072545
|
| [28] |
ZHU G H, WEN D W, WEI L L, et al. Mechanical performances of novel cosine function cell-based metallic lattice structures under quasi-static compressive loading [J]. Composite Structures, 2023, 314: 116962. doi: 10.1016/j.compstruct.2023.116962
|
| [29] |
DESHPANDE V S, ASHBY M F, FLECK N A. Foam topology: bending versus stretching dominated architectures [J]. Acta Materialia, 2001, 49(6): 1035–1040. doi: 10.1016/S1359-6454(00)00379-7
|
| [30] |
TANCOGNE-DEJEAN T, SPIERINGS A B, MOHR D. Additively-manufactured metallic micro-lattice materials for high specific energy absorption under static and dynamic loading [J]. Acta Materialia, 2016, 116: 14–28. doi: 10.1016/j.actamat.2016.05.054
|
| [31] |
MOHSENIZADEH M, GASBARRI F, MUNTHER M, et al. Additively-manufactured lightweight metamaterials for energy absorption [J]. Materials & Design, 2018, 139: 521–530. doi: 10.1016/j.matdes.2017.11.037
|
| [32] |
CHEN X Y, TAN H F. An effective length model for octet lattice [J]. International Journal of Mechanical Sciences, 2018, 140: 279–287. doi: 10.1016/j.ijmecsci.2018.03.016
|
| [33] |
GÜMRÜK R, MINES R A W. Compressive behaviour of stainless steel micro-lattice structures [J]. International Journal of Mechanical Sciences, 2013, 68: 125–139. doi: 10.1016/j.ijmecsci.2013.01.006
|
| [34] |
XIAO L J, SONG W D, WANG C, et al. Mechanical properties of open-cell rhombic dodecahedron titanium alloy lattice structure manufactured using electron beam melting under dynamic loading [J]. International Journal of Impact Engineering, 2017, 100: 75–89. doi: 10.1016/j.ijimpeng.2016.10.006
|
| [35] |
NEFF C, HOPKINSON N, CRANE N B. Experimental and analytical investigation of mechanical behavior of laser-sintered diamond-lattice structures [J]. Additive Manufacturing, 2018, 22: 807–816. doi: 10.1016/j.addma.2018.07.005
|
| [36] |
SUN Z P, GUO Y B, SHIM V P W. Characterisation and modeling of additively-manufactured polymeric hybrid lattice structures for energy absorption [J]. International Journal of Mechanical Sciences, 2021, 191: 106101. doi: 10.1016/j.ijmecsci.2020.106101
|
| [37] |
XIAO L J, XU X, FENG G Z, et al. Compressive performance and energy absorption of additively manufactured metallic hybrid lattice structures [J]. International Journal of Mechanical Sciences, 2022, 219: 107093. doi: 10.1016/j.ijmecsci.2022.107093
|
| [38] |
LI S, ZHU H G, FENG G Z, et al. Influence mechanism of cell-arrangement strategy on energy absorption of dual-phase hybrid lattice structure [J]. International Journal of Impact Engineering, 2023, 175: 104528. doi: 10.1016/j.ijimpeng.2023.104528
|
| [39] |
SUN Z P, HUA T, ZHANG J J, et al. Crushing patterns and energy absorption characteristics of additively manufactured metallic lattices subjected to different loading directions [J]. Composite Structures, 2025, 357: 118953. doi: 10.1016/j.compstruct.2025.118953
|
| [40] |
HE P P, WEN Y T, LIANG X, et al. Bio-inspired hybrid design and mechanical properties of 3D compression-twist coupling chiral lattice with functional integration [J]. Composite Structures, 2025, 373: 119670. doi: 10.1016/j.compstruct.2025.119670
|
| [41] |
LI N, PANG S M, CHEN S G, et al. Design and application of hybrid lattice metamaterial structures with high energy absorption and compressive resistance [J]. Journal of Materials Research and Technology, 2024, 33: 7100–7112. doi: 10.1016/j.jmrt.2024.11.113
|
| [42] |
KAMAREH F, PANG B J, CAO W X, et al. Evaluating load-bearing and hypervelocity impact shielding capabilities of face-centered cubic lattice core sandwich panels [J]. Materials Today Communications, 2024, 40: 109835. doi: 10.1016/j.mtcomm.2024.109835
|
| [43] |
ZHAO C, ZHANG M, LI G X, et al. Stress wave propagation and energy absorption properties of heterogeneous lattice materials under impact load [J]. Advances in Materials Science and Engineering, 2021, 2021: 1766952. doi: 10.1155/2021/1766952
|
| [44] |
WANG X, XIONG J. Integrated design of novel composite plate-truss hybrid lattice structures for superior energy absorption [J]. International Journal of Solids and Structures, 2025, 318: 113447. doi: 10.1016/j.ijsolstr.2025.113447
|
| [45] |
WU J C, ZHANG Y, YANG F, et al. A hybrid architectural metamaterial combing plate lattice and hollow-truss lattice with advanced mechanical performances [J]. Additive Manufacturing, 2023, 76: 103764. doi: 10.1016/j.addma.2023.103764
|
| [46] |
FENG J W, FU J Z, YAO X H, et al. Triply periodic minimal surface (TPMS) porous structures: from multi-scale design, precise additive manufacturing to multidisciplinary applications [J]. International Journal of Extreme Manufacturing, 2022, 4(2): 022001. doi: 10.1088/2631-7990/ac5be6
|
| [47] |
AL-KETAN O, ABU AL-RUB R K. Multifunctional mechanical metamaterials based on triply periodic minimal surface lattices [J]. Advanced Engineering Materials, 2019, 21(10): 1900524. doi: 10.1002/adem.201900524
|
| [48] |
YUAN L, DING S L, WEN C E. Additive manufacturing technology for porous metal implant applications and triple minimal surface structures: a review [J]. Bioactive Materials, 2019, 4: 56–70. doi: 10.1016/j.bioactmat.2018.12.003
|
| [49] |
LI F L, GAN J K, ZHANG L, et al. Enhancing impact resistance of hybrid structures designed with triply periodic minimal surfaces [J]. Composites Science and Technology, 2024, 245: 110365. doi: 10.1016/j.compscitech.2023.110365
|
| [50] |
YANG N, QUAN Z, ZHANG D W, et al. Multi-morphology transition hybridization CAD design of minimal surface porous structures for use in tissue engineering [J]. Computer-Aided Design, 2014, 56: 11–21. doi: 10.1016/j.cad.2014.06.006
|
| [51] |
LI Z H, LI S Q, LIU J J, et al. Response mechanisms and energy absorption properties of hybrid sheet TPMS lattices under static and dynamic loading [J]. Thin-Walled Structures, 2025, 210: 112980. doi: 10.1016/j.tws.2025.112980
|
| [52] |
ZHANG J, XIE S C, HE G D, et al. Design of hybrid triply periodic minimal surface structures to enhance structural dynamic compression behavior [J]. Composite Structures, 2025, 354: 118790. doi: 10.1016/j.compstruct.2024.118790
|
| [53] |
NOVAK N, TANAKA S, HOKAMOTO K, et al. High strain rate mechanical behaviour of uniform and hybrid metallic TPMS cellular structures [J]. Thin-Walled Structures, 2023, 191: 111109. doi: 10.1016/j.tws.2023.111109
|
| [54] |
ZHANG J, XIE S C, LI T, et al. A study of multi-stage energy absorption characteristics of hybrid sheet TPMS lattices [J]. Thin-Walled Structures, 2023, 190: 110989. doi: 10.1016/j.tws.2023.110989
|
| [55] |
CHEN Z Y, WU B S, CHEN X, et al. Energy absorption and impact resistance of hybrid triply periodic minimal surface (TPMS) sheet-based structures [J]. Materials Today Communications, 2023, 37: 107352. doi: 10.1016/j.mtcomm.2023.107352
|
| [56] |
JANG W Y, KYRIAKIDES S. On the buckling and crushing of expanded honeycomb [J]. International Journal of Mechanical Sciences, 2015, 91: 81–90. doi: 10.1016/j.ijmecsci.2014.02.008
|
| [57] |
SUN G Y, CHEN D D, HUO X T, et al. Experimental and numerical studies on indentation and perforation characteristics of honeycomb sandwich panels [J]. Composite Structures, 2018, 184: 110–124. doi: 10.1016/j.compstruct.2017.09.025
|
| [58] |
HE W T, LU S J, YI K, et al. Residual flexural properties of CFRP sandwich structures with aluminum honeycomb cores after low-velocity impact [J]. International Journal of Mechanical Sciences, 2019, 161/162: 105026.
|
| [59] |
WANG Z G, LIU J F. Numerical and theoretical analysis of honeycomb structure filled with circular aluminum tubes subjected to axial compression [J]. Composites Part B: Engineering, 2019, 165: 626–635. doi: 10.1016/j.compositesb.2019.01.070
|
| [60] |
WANG Z G, LIU J F. Mechanical performance of honeycomb filled with circular CFRP tubes [J]. Composites Part B: Engineering, 2018, 135: 232–241. doi: 10.1016/j.compositesb.2017.09.048
|
| [61] |
BOHARA R P, LINFORTH S, THAI H T, et al. Multi-objective bulk scale optimisation of an auxetic structure to enhance protection performance [J]. Engineering Structures, 2023, 280: 115729. doi: 10.1016/j.engstruct.2023.115729
|
| [62] |
吴文旺, 肖登宝, 孟嘉旭, 等. 负泊松比结构力学设计、抗冲击性能及在车辆工程应用与展望 [J]. 力学学报, 2021, 53(3): 611–638. doi: 10.6052/0459-1879-20-333
WU W W, XIAO D B, MENG J X, et al. Mechanical design, impact energy absorption and applications of auxetic structures in automobile lightweight engineering [J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(3): 611–638. doi: 10.6052/0459-1879-20-333
|
| [63] |
LI X, PENG W T, WU W W, et al. Auxetic mechanical metamaterials: from soft to stiff [J]. International Journal of Extreme Manufacturing, 2023, 5(4): 042003. doi: 10.1088/2631-7990/ace668
|
| [64] |
CHENG X, ZHANG Y, REN X, et al. Design and mechanical characteristics of auxetic metamaterial with tunable stiffness [J]. International Journal of Mechanical Sciences, 2022, 223: 107286. doi: 10.1016/j.ijmecsci.2022.107286
|
| [65] |
MOUSANEZHAD D, HAGHPANAH B, GHOSH R, et al. Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: a simple energy-based approach [J]. Theoretical and Applied Mechanics Letters, 2016, 6(2): 81–96. doi: 10.1016/j.taml.2016.02.004
|
| [66] |
GERAMIZADEH H, DARIUSHI S, SALAMI S J. Optimal face sheet thickness of 3D printed polymeric hexagonal and re-entrant honeycomb sandwich beams subjected to three-point bending [J]. Composite Structures, 2022, 291: 115618. doi: 10.1016/j.compstruct.2022.115618
|
| [67] |
GAO Y, HUANG H W. Energy absorption characteristics and optimization of three-beam star honeycomb [J]. Mechanics of Advanced Materials and Structures, 2023, 30(8): 1559–1573. doi: 10.1080/15376494.2022.2037171
|
| [68] |
WANG H, LU Z X, YANG Z Y, et al. In-plane dynamic crushing behaviors of a novel auxetic honeycomb with two plateau stress regions [J]. International Journal of Mechanical Sciences, 2019, 151: 746–759. doi: 10.1016/j.ijmecsci.2018.12.009
|
| [69] |
ZHU Y L, JIANG S H, LU F C, et al. A novel enhanced anti-tetra-missing rib auxetic structure with tailorable in-plane mechanical properties [J]. Engineering Structures, 2022, 262: 114399. doi: 10.1016/j.engstruct.2022.114399
|
| [70] |
LI J, ZHANG Z Y, LIU H T, et al. Design and characterization of novel bi-directional auxetic cubic and cylindrical metamaterials [J]. Composite Structures, 2022, 299: 116015. doi: 10.1016/j.compstruct.2022.116015
|
| [71] |
XU M C, XU Z R, ZHANG Z, et al. Mechanical properties and energy absorption capability of AuxHex structure under in-plane compression: theoretical and experimental studies [J]. International Journal of Mechanical Sciences, 2019, 159: 43–57. doi: 10.1016/j.ijmecsci.2019.05.044
|
| [72] |
YU Y, FU T, WANG S, et al. Dynamic response of novel sandwich structures with 3D sinusoid-parallel-hybrid honeycomb auxetic cores: the cores based on negative Poisson’s ratio of elastic jump [J]. European Journal of Mechanics–A/Solids, 2025, 109: 105449. doi: 10.1016/j.euromechsol.2024.105449
|
| [73] |
LI S C, LI B, FU T. Low-velocity impact response of sandwich plates with corrugation star-shaped honeycomb hybrid core [J]. Applied Mathematical Modelling, 2025, 137: 115715. doi: 10.1016/j.apm.2024.115715
|
| [74] |
YE J J, SUN Z P, DING Y Y, et al. The deformation mechanism, energy absorption behavior and optimal design of vertical-reinforced lattices [J]. Thin-Walled Structures, 2023, 190: 110988. doi: 10.1016/j.tws.2023.110988
|
| [75] |
CUI Z, ZHAO J Y, XU R, et al. Mechanical design and energy absorption performances of novel plate-rod hybrid lattice structures [J]. Thin-Walled Structures, 2024, 194: 111349. doi: 10.1016/j.tws.2023.111349
|
| [76] |
CUI Z, SUN Z P, ZHAO J Y, et al. Response of hybrid plate-rod lattices to static and dynamic compression: an experimental study [J]. International Journal of Impact Engineering, 2025, 202: 105321. doi: 10.1016/j.ijimpeng.2025.105321
|
| [77] |
RAJ R, JIYALAL PRAJAPATI M, TSAI J T, et al. Design and additive manufacturing of novel hybrid lattice metamaterial for enhanced energy absorption and structural stability [J]. Materials & Design, 2024, 245: 113268. doi: 10.1016/j.matdes.2024.113268
|
| [78] |
LI L B, WU J C, YANG F, et al. Mechanisms of low-frequency bandgap formation and energy absorption of three-dimensional nested hybrid lattice structures [J]. Composites Part B: Engineering, 2025, 291: 112045. doi: 10.1016/j.compositesb.2024.112045
|
| [79] |
NAJI M M, ALAGHA A N, SHEIKH-AHMAD J Y, et al. Hybrid plate-TPMS lattice metamaterials with exceptional stiffness and strength [J]. Virtual and Physical Prototyping, 2025, 20(1): e2536560. doi: 10.1080/17452759.2025.2536560
|
| [80] |
LIU Y, WANG Y Z, REN H Y, et al. Ultrastiff metamaterials generated through a multilayer strategy and topology optimization [J]. Nature Communications, 2024, 15(1): 2984. doi: 10.1038/s41467-024-47089-8
|
| [81] |
ZHANG M, GAO K, LIU J L, et al. Breaking stiffness-tunability trade-offs in metamaterials: a minimal surface guided hybrid lattice strategy [J]. Advanced Science, 2025, 12(39): e10586. doi: 10.1002/advs.202510586
|
| [82] |
EJEH C J, BARSOUM I, ABU AL-RUB R K. Novel hybrid minimal surface-based lattice materials [J]. Materials & Design, 2025, 253: 113959. doi: 10.1016/j.matdes.2025.113959
|
| [83] |
YE H L, TIAN F W, HE W L, et al. Mechanical and thermal property analysis and optimization design of hybrid lattice structure based on triply periodic minimal surfaces [J]. Thin-Walled Structures, 2024, 203: 112203. doi: 10.1016/j.tws.2024.112203
|
| [84] |
LV H Y, SHI S S, CHEN B Z, et al. Low-velocity impact response of composite sandwich structure with grid-honeycomb hybrid core [J]. International Journal of Mechanical Sciences, 2023, 246: 108149. doi: 10.1016/j.ijmecsci.2023.108149
|
| [85] |
WANG Z G, SHI C, DING S S, et al. Crashworthiness of innovative hexagonal honeycomb-like structures subjected to out-of-plane compression [J]. Journal of Central South University, 2020, 27(2): 621–628. doi: 10.1007/s11771-020-4321-2
|
| [86] |
BIAN Z, GONG Y, SUN Z X, et al. Design and energy absorption characteristics of a novel honeycomb with embedded chiral structures [J]. Composite Structures, 2024, 333: 117944. doi: 10.1016/j.compstruct.2024.117944
|
| [87] |
NIU X Q, XU F X, ZOU Z, et al. In-plane dynamic crashing behavior and energy absorption of novel bionic honeycomb structures [J]. Composite Structures, 2022, 299: 116064. doi: 10.1016/j.compstruct.2022.116064
|
| [88] |
QIN F P, YANG H M, ZHANG C B, et al. A trifolium-shaped auxetic metamaterial with programmable elastic constants and high energy absorption [J]. Thin-Walled Structures, 2026, 221: 114407. doi: 10.1016/j.tws.2025.114407
|
| [89] |
ZHANG W, YIN S, YU T X, et al. Crushing resistance and energy absorption of pomelo peel inspired hierarchical honeycomb [J]. International Journal of Impact Engineering, 2019, 125: 163–172. doi: 10.1016/j.ijimpeng.2018.11.014
|
| [90] |
TEWARI K, PANDIT M K, MAHAPATRA M M, et al. Honeycomb-spiderweb-inspired self-similar hybrid cellular structures for impact applications [J]. Defence Technology, 2025, 43: 182–200. doi: 10.1016/j.dt.2024.06.015
|
| [91] |
HE Q, FENG J, CHEN Y J, et al. Mechanical properties of spider-web hierarchical honeycombs subjected to out-of-plane impact loading [J]. Journal of Sandwich Structures & Materials, 2020, 22(3): 771–796. doi: 10.1177/1099636218772295
|
| [92] |
ZHANG D H, FEI Q G, LIU J Z, et al. Crushing of vertex-based hierarchical honeycombs with triangular substructures [J]. Thin-Walled Structures, 2020, 146: 106436. doi: 10.1016/j.tws.2019.106436
|
| [93] |
YU X D, PAN L C, CHEN J X, et al. Experimental and numerical study on the energy absorption abilities of trabecular-honeycomb biomimetic structures inspired by beetle elytra [J]. Journal of Materials Science, 2019, 54(3): 2193–2204. doi: 10.1007/s10853-018-2958-0
|
| [94] |
CHEN Y Y, LI T T, JIA Z A, et al. 3D printed hierarchical honeycombs with shape integrity under large compressive deformations [J]. Materials & Design, 2018, 137: 226–234. doi: 10.1016/j.matdes.2017.10.028
|
| [95] |
FANG J G, SUN G Y, QIU N, et al. On hierarchical honeycombs under out-of-plane crushing [J]. International Journal of Solids and Structures, 2018, 135: 1–13. doi: 10.1016/j.ijsolstr.2017.08.013
|
| [96] |
LU Z X, LI X, YANG Z Y, et al. Novel structure with negative Poisson’s ratio and enhanced Young’s modulus [J]. Composite Structures, 2016, 138: 243–252. doi: 10.1016/j.compstruct.2015.11.036
|
| [97] |
CHEN Z Y, WU X, XIE Y M, et al. Re-entrant auxetic lattices with enhanced stiffness: a numerical study [J]. International Journal of Mechanical Sciences, 2020, 178: 105619. doi: 10.1016/j.ijmecsci.2020.105619
|
| [98] |
FU M H, CHEN Y, HU L L. A novel auxetic honeycomb with enhanced in-plane stiffness and buckling strength [J]. Composite Structures, 2017, 160: 574–585. doi: 10.1016/j.compstruct.2016.10.090
|
| [99] |
LI D, YIN J H, DONG L, et al. Strong re-entrant cellular structures with negative Poisson’s ratio [J]. Journal of Materials Science, 2018, 53(3): 3493–3499. doi: 10.1007/s10853-017-1809-8
|
| [100] |
ZHU D F, WEI Y C, SHEN X Y, et al. A novel elliptical annular re-entrant auxetic honeycomb with enhanced stiffness [J]. International Journal of Mechanical Sciences, 2024, 262: 108732. doi: 10.1016/j.ijmecsci.2023.108732
|
| [101] |
TANG Y X, ZHONG Y F, LIU R, et al. Ellipse-arc hybrid re-entrant honeycombs for dual-plateau energy absorption [J]. International Journal of Mechanical Sciences, 2026, 313: 111302. doi: 10.1016/j.ijmecsci.2026.111302
|
| [102] |
OUYANG S B, LI W, HIEN P L, et al. Dual-enhanced stiffness and auxeticity in novel double re-entrant honeycombs with vertical fold-line stiffeners [J]. Thin-Walled Structures, 2025, 217: 113746. doi: 10.1016/j.tws.2025.113746
|
| [103] |
LU Q, DENG X L. Energy absorption and in-plane mechanical behavior of honeycomb structures with reinforced strut [J]. Composite Structures, 2023, 322: 117399. doi: 10.1016/j.compstruct.2023.117399
|
| [104] |
NI X H, JIANG W, ZHANG X G, et al. Quasi-static and dynamic properties studies of a metamaterial with enhanced auxeticity and tunable stiffness [J]. Composite Structures, 2023, 321: 117254. doi: 10.1016/j.compstruct.2023.117254
|
| [105] |
QI C, JIANG F, REMENNIKOV A, et al. Quasi-static crushing behavior of novel re-entrant circular auxetic honeycombs [J]. Composites Part B: Engineering, 2020, 197: 108117. doi: 10.1016/j.compositesb.2020.108117
|
| [106] |
TAN H L, HE Z C, LI K X, et al. In-plane crashworthiness of re-entrant hierarchical honeycombs with negative Poisson’s ratio [J]. Composite Structures, 2019, 229: 111415. doi: 10.1016/j.compstruct.2019.111415
|
| [107] |
ZHONG Y F, LIU R, HIEN P L, et al. Energy absorption characteristics of butterfly-shaped multi-cellular honeycomb structures under compressive loading [J]. Structures, 2025, 75: 108765. doi: 10.1016/j.istruc.2025.108765
|
| [108] |
LI K D, ZHANG M L H, ETEMADI E, et al. Quasi-static compression response and structural parameter optimization of CFRP 3D hybrid auxetic lattice structure with enhanced stiffness [J]. Engineering Structures, 2025, 328: 119681. doi: 10.1016/j.engstruct.2025.119681
|
| [109] |
MA L H, LIU Z Y, CUI Y J, et al. A leaf venation-inspired star-shaped hybrid honeycomb with ultra-high load-bearing and energy absorption [J]. Composite Structures, 2026, 377: 119862. doi: 10.1016/j.compstruct.2025.119862
|
| [110] |
LI X L, LI Z Z, GUO Z Y, et al. A novel star-shaped honeycomb with enhanced energy absorption [J]. Composite Structures, 2023, 309: 116716. doi: 10.1016/j.compstruct.2023.116716
|
| [111] |
WEI L L, ZHAO X, YU Q, et al. Quasi-static axial compressive properties and energy absorption of star-triangular auxetic honeycomb [J]. Composite Structures, 2021, 267: 113850. doi: 10.1016/j.compstruct.2021.113850
|
| [112] |
LU H, WANG X P, CHEN T N. In-plane dynamics crushing of a combined auxetic honeycomb with negative Poisson’s ratio and enhanced energy absorption [J]. Thin-Walled Structures, 2021, 160: 107366. doi: 10.1016/j.tws.2020.107366
|
| [113] |
WANG S, LIU H T. Utilizing multi-step plastic deformation in negative stiffness metastructures for superior energy absorption [J]. Composite Structures, 2026, 377: 119909. doi: 10.1016/j.compstruct.2025.119909
|
| [114] |
WANG H, WANG W H, WANG B, et al. Foam-filling technique to improve low-velocity impact behaviors of woven lattice truss sandwich panels [J]. Polymer Testing, 2022, 114: 107714. doi: 10.1016/j.polymertesting.2022.107714
|
| [115] |
LIU T, CHEN C H, CHENG Y S. Mechanical characteristics and foam filling enhancement mechanism of polymeric periodic hybrid structures under uniaxial compression [J]. Materials & Design, 2023, 227: 111762. doi: 10.1016/j.matdes.2023.111762
|
| [116] |
TAO Y B, LI P, CAI L P. Effect of fiber content on sound absorption, thermal conductivity, and compression strength of straw fiber-filled rigid polyurethane foams [J]. BioResources, 2016, 11(2): 4159–4167. doi: 10.15376/biores.11.2.4159-4167
|
| [117] |
OSTOS J B, RINALDI R G, HAMMETTER C M, et al. Deformation stabilization of lattice structures via foam addition [J]. Acta Materialia, 2012, 60(19): 6476–6485. doi: 10.1016/j.actamat.2012.07.053
|
| [118] |
SOMARATHNA H M C C, RAMAN S N, MOHOTTI D, et al. The use of polyurethane for structural and infrastructural engineering applications: a state-of-the-art review [J]. Construction and Building Materials, 2018, 190: 995–1014. doi: 10.1016/j.conbuildmat.2018.09.166
|
| [119] |
BAROUTAJI A, SAJJIA M, OLABI A G. On the crashworthiness performance of thin-walled energy absorbers: recent advances and future developments [J]. Thin-Walled Structures, 2017, 118: 137–163. doi: 10.1016/j.tws.2017.05.018
|
| [120] |
SUN G Y, CHEN D D, ZHU G H, et al. Lightweight hybrid materials and structures for energy absorption: a state-of-the-art review and outlook [J]. Thin-Walled Structures, 2022, 172: 108760. doi: 10.1016/j.tws.2021.108760
|
| [121] |
YAO R Y, PANG T, ZHANG B, et al. On the crashworthiness of thin-walled multi-cell structures and materials: state of the art and prospects [J]. Thin-Walled Structures, 2023, 189: 110734. doi: 10.1016/j.tws.2023.110734
|
| [122] |
CHAPKIN W A, SIMONE D L, FRANK G J, et al. Mechanical behavior and energy dissipation of infilled, composite Ti-6Al-4V trusses [J]. Materials & Design, 2021, 203: 109602. doi: 10.1016/j.matdes.2021.109602
|
| [123] |
LI S, HOU Y L, HUANG J, et al. Exploring the enhanced energy-absorption performance of hybrid polyurethane (PU)-foam-filled lattice metamaterials [J]. International Journal of Impact Engineering, 2024, 193: 105058. doi: 10.1016/j.ijimpeng.2024.105058
|
| [124] |
TAO Y B, LI P, ZHANG H W, et al. Compression and flexural properties of rigid polyurethane foam composites reinforced with 3D-printed polylactic acid lattice structures [J]. Composite Structures, 2022, 279: 114866. doi: 10.1016/j.compstruct.2021.114866
|
| [125] |
PIZZORNI M, LERTORA E, MANDOLFINO C. Energy absorption properties of a 3D-printed lattice-core foam composite under compressive and low-velocity impact loading [J]. Materials Today Communications, 2023, 36: 106918. doi: 10.1016/j.mtcomm.2023.106918
|
| [126] |
RAMIREZ B J, MISRA U, GUPTA V. Viscoelastic foam-filled lattice for high energy absorption [J]. Mechanics of Materials, 2018, 127: 39–47. doi: 10.1016/j.mechmat.2018.08.011
|
| [127] |
PRAJAPATI M J, KUMAR A, LIN S C, et al. Multi-material additive manufacturing with lightweight closed-cell foam-filled lattice structures for enhanced mechanical and functional properties [J]. Additive Manufacturing, 2022, 54: 102766. doi: 10.1016/j.addma.2022.102766
|
| [128] |
CORVI A, COLLINI L, SCIANCALEPORE C. Improving the compressive response of bio-polymeric additively manufactured cellular structures via foam-filling: an experimental and numerical investigation [J]. Mechanics of Advanced Materials and Structures, 2024, 31(25): 7486–7497. doi: 10.1080/15376494.2023.2245821
|
| [129] |
LI Z L, LI H, YANG Y, et al. Investigation of impact and vibration behaviours of composite honeycomb sandwich shell panels with foam reinforcement [J]. Mechanical Systems and Signal Processing, 2025, 232: 112676. doi: 10.1016/j.ymssp.2025.112676
|
| [130] |
ZHAO L H, WANG L, JIN Y F, et al. Simultaneously improved thermal conductivity and mechanical properties of boron nitride nanosheets/aramid nanofiber films by constructing multilayer gradient structure [J]. Composites Part B: Engineering, 2022, 229: 109454. doi: 10.1016/j.compositesb.2021.109454
|
| [131] |
SARKHOSH R. Enhanced specific energy absorption in honeycomb structures with novel spiral reinforcement and foam filling [J]. Polymer Engineering & Science, 2025, 65(9): 4631–4643. doi: 10.1002/pen.27294
|
| [132] |
MONTAZERI A, BAHMANPOUR E, SAFARABADI M. Three-point bending behavior of foam-filled conventional and auxetic 3D-printed honeycombs [J]. Advanced Engineering Materials, 2023, 25(17): 2300273. doi: 10.1002/adem.202300273
|
| [133] |
HAO N, SONG Y H, CHEN J X, et al. Compressive performance of a foam-filled fiber-reinforced grid beetle elytron plate [J]. Science China Technological Sciences, 2023, 66(3): 830–840. doi: 10.1007/s11431-022-2171-0
|
| [134] |
WANG F, MING Y K, ZHAO Y T, et al. Fabrication of a novel continuous fiber 3D printed thermoset all-composite honeycomb sandwich structure with polymethacrylimide foam reinforcement [J]. Composites Communications, 2024, 45: 101794. doi: 10.1016/j.coco.2023.101794
|
| [135] |
LUO H C, REN X, ZHANG Y, et al. Mechanical properties of foam-filled hexagonal and re-entrant honeycombs under uniaxial compression [J]. Composite Structures, 2022, 280: 114922. doi: 10.1016/j.compstruct.2021.114922
|
| [136] |
LIU T, CHEN C H, CHENG Y S. Dynamic crushing performance of foam-filled periodic hybrid cellular structures [J]. Composite Structures, 2024, 334: 117952. doi: 10.1016/j.compstruct.2024.117952
|
| [137] |
XIE S C, CUI Y X, ZHANG J, et al. Low velocity impact study of polyurethane foam in-situ foamed honeycomb sandwich structure [J]. Polymer Composites, 2025, 46(S2): S602–S616. doi: 10.1002/pc.29860
|
| [138] |
CHEN J Y, HE W W, FANG H, et al. Crashworthiness and optimization for foam-filled multi-layer composite lattice structures [J]. Polymer Testing, 2025, 144: 108744. doi: 10.1016/j.polymertesting.2025.108744
|
| [139] |
WU W, LIU Y, YAN J B, et al. Blast performance of polyurethane foam-filled auxetic honeycomb sandwich beams [J]. Composite Structures, 2024, 338: 118104. doi: 10.1016/j.compstruct.2024.118104
|
| [140] |
WU C F, YE G R, ZHAO Y H, et al. Experimental and numerical study of in-plane uniaxial compression response of PU foam filled aluminum arrowhead auxetic honeycomb [J]. Rapid Prototyping Journal, 2024, 30(3): 502–512. doi: 10.1108/RPJ-08-2023-0267
|
| [141] |
NOVAK N, AL-RIFAIE H, AIROLDI A, et al. Quasi-static and impact behaviour of foam-filled graded auxetic panel [J]. International Journal of Impact Engineering, 2023, 178: 104606. doi: 10.1016/j.ijimpeng.2023.104606
|
| [142] |
CHEN C Q, AIROLDI A, CAPORALE A M, et al. Impact response of composite energy absorbers based on foam-filled metallic and polymeric auxetic frames [J]. Composite Structures, 2024, 331: 117916. doi: 10.1016/j.compstruct.2024.117916
|
| [143] |
FAN D L, LI N X, LI Y J, et al. A novel method for preparing anisotropic negative Poisson’s ratio composite foam with excellent structural stability and shape recovery property [J]. Polymer, 2024, 296: 126825. doi: 10.1016/j.polymer.2024.126825
|
| [144] |
NI X H, ZHANG X G, HAN D, et al. Aluminum foam-filled auxetic double tubular structures: design and characteristic study [J]. Mechanics of Advanced Materials and Structures, 2023, 31(15): 3377–3388. doi: 10.1080/15376494.2023.2175397
|
| [145] |
YANG Y, YUAN S Q, ZHANG X L, et al. Investigation of the impact resistance of foam-filled combined honeycomb structures [J]. Polymer Engineering & Science, 2025, 65(9): 4753–4764. doi: 10.1002/pen.70017
|
| [146] |
CHEN G C, CHENG Y S, ZHANG P, et al. Blast resistance of metallic double arrowhead honeycomb sandwich panels with different core configurations under the paper tube-guided air blast loading [J]. International Journal of Mechanical Sciences, 2021, 201: 106457. doi: 10.1016/j.ijmecsci.2021.106457
|
| [147] |
LAN X K, HUANG G Y, BIAN X B, et al. Impact resistance of foam-filled hybrid-chiral honeycomb beam under localized impulse loading [J]. International Journal of Impact Engineering, 2023, 173: 104477. doi: 10.1016/j.ijimpeng.2022.104477
|
| [148] |
GHODDOUSI S, YAKHFORVAZAN A V, SAFARABADI M. Effects of foam filling on flexural performance of 3D printed chiral honeycombs [J]. Thin-Walled Structures, 2025, 209: 112893. doi: 10.1016/j.tws.2024.112893
|
| [149] |
AIROLDI A, NOVAK N, SGOBBA F, et al. Foam-filled energy absorbers with auxetic behaviour for localized impacts [J]. Materials Science and Engineering: A, 2020, 788: 139500. doi: 10.1016/j.msea.2020.139500
|
| [150] |
GÜRGEN S, KUŞHAN M C, LI W H. Shear thickening fluids in protective applications: a review [J]. Progress in Polymer Science, 2017, 75: 48–72. doi: 10.1016/j.progpolymsci.2017.07.003
|
| [151] |
ZHANG X, WANG P F, KURKIN A, et al. Mechanical response of shear thickening fluid filled composite subjected to different strain rates [J]. International Journal of Mechanical Sciences, 2021, 196: 106304. doi: 10.1016/j.ijmecsci.2021.106304
|
| [152] |
SHENDE T, NIASAR V J, BABAEI M. An empirical equation for shear viscosity of shear thickening fluids [J]. Journal of Molecular Liquids, 2021, 325: 115220. doi: 10.1016/j.molliq.2020.115220
|
| [153] |
ZHU J Q, GU Z P, LIU Z P, et al. Silicone rubber matrix composites with shear thickening fluid microcapsules realizing intelligent adaptation to impact loadings [J]. Composites Part B: Engineering, 2022, 247: 110312. doi: 10.1016/j.compositesb.2022.110312
|
| [154] |
WEERASINGHE D, MOHOTTI D, ANDERSON J. Incorporation of shear thickening fluid effects into computational modelling of woven fabrics subjected to impact loading: a review [J]. International Journal of Protective Structures, 2020, 11(3): 340–378. doi: 10.1177/2041419619889071
|
| [155] |
SEN S, JAMAL M N B J, SHAW A, et al. Numerical investigation of ballistic performance of shear thickening fluid (STF)-Kevlar composite [J]. International Journal of Mechanical Sciences, 2019, 164: 105174. doi: 10.1016/j.ijmecsci.2019.105174
|
| [156] |
CHATTERJEE V A, VERMA S K, BHATTACHARJEE D, et al. Enhancement of energy absorption by incorporation of shear thickening fluids in 3D-mat sandwich composite panels upon ballistic impact [J]. Composite Structures, 2019, 225: 111148. doi: 10.1016/j.compstruct.2019.111148
|
| [157] |
LU Z Q, WU L W, GU B H, et al. Numerical simulation of the impact behaviors of shear thickening fluid impregnated warp-knitted spacer fabric [J]. Composites Part B: Engineering, 2015, 69: 191–200. doi: 10.1016/j.compositesb.2014.10.003
|
| [158] |
WEI H B, GAO H, WANG X Y. Development of novel guar gum hydrogel based media for abrasive flow machining: shear-thickening behavior and finishing performance [J]. International Journal of Mechanical Sciences, 2019, 157/158: 758–772.
|
| [159] |
WAITUKAITIS S R, JAEGER H M. Impact-activated solidification of dense suspensions via dynamic jamming fronts [J]. Nature, 2012, 487(7406): 205–209. doi: 10.1038/nature11187
|
| [160] |
CLARK J, JENSON S, SCHULTZ J, et al. Study of impact properties of a fluid-filled honeycomb structure [C]//ASME 2013 International Mechanical Engineering Congress and Exposition. San Diego: ASME, 2013.
|
| [161] |
WARREN J, COLE M, OFFENBERGER S, et al. Hypervelocity impacts on honeycomb core sandwich panels filled with shear thickening fluid [J]. International Journal of Impact Engineering, 2021, 150: 103803. doi: 10.1016/j.ijimpeng.2020.103803
|
| [162] |
HU Q F, LU G X, HAMEED N, et al. Dynamic compressive behaviour of shear thickening fluid-filled honeycomb [J]. International Journal of Mechanical Sciences, 2022, 229: 107493. doi: 10.1016/j.ijmecsci.2022.107493
|
| [163] |
REN J P, GU Z P, SUI Y D, et al. NPR effect on energy absorption enhancement of star-shaped honeycomb filled shear thickening fluids under impact [J]. Composites Part B: Engineering, 2025, 299: 112415. doi: 10.1016/j.compositesb.2025.112415
|
| [164] |
CORVI A, COLLINI L. Shear-thickening-fluid-based meta-material for adaptive impact response [J]. Materials & Design, 2024, 244: 113174. doi: 10.1016/j.matdes.2024.113174
|
| [165] |
SUN H L, TSE K M, HAMEED N, et al. Dynamic compressive behavior of Miura-ori metamaterials filled with shear thickening fluid [J]. International Journal of Mechanical Sciences, 2025, 288: 110006. doi: 10.1016/j.ijmecsci.2025.110006
|
| [166] |
ZHAO C Y, WANG Y P, CAO S S, et al. Conductive shear thickening gel/Kevlar wearable fabrics: a flexible body armor with mechano-electric coupling ballistic performance [J]. Composites Science and Technology, 2019, 182: 107782. doi: 10.1016/j.compscitech.2019.107782
|
| [167] |
FAN X W, WANG Y, WANG S, et al. Suppression of the sutural interface on vibration behaviors of sandwich beam with shear stiffening gel [J]. Composite Structures, 2022, 295: 115864. doi: 10.1016/j.compstruct.2022.115864
|
| [168] |
LI D Y, LI Z M, DUAN S L, et al. Wavy-microstructure-sandwiched flexible composite towards wearable monitoring and acoustic detecting [J]. Composites Part B: Engineering, 2026, 308: 113023. doi: 10.1016/j.compositesb.2025.113023
|
| [169] |
WANG W J, YANG H, ZHANG W M, et al. Experimental study on the impact resistance of fill-enhanced mechanical metamaterials [J]. International Journal of Mechanical Sciences, 2025, 285: 109799. doi: 10.1016/j.ijmecsci.2024.109799
|
| [170] |
LIN G J, LI J Q, LI F, et al. Low-velocity impact response of sandwich composite panels with shear thickening gel filled honeycomb cores [J]. Composites Communications, 2022, 32: 101136. doi: 10.1016/j.coco.2022.101136
|
| [171] |
WU L W, ZHAO F, LU Z Q, et al. Impact energy absorption composites with shear stiffening gel-filled negative Poisson’s ratio skeleton by Kirigami method [J]. Composite Structures, 2022, 298: 116009. doi: 10.1016/j.compstruct.2022.116009
|
| [172] |
HUANG S L, LIU Y Q, WEN K, et al. Optimization design of a novel microwave absorbing honeycomb sandwich structure filled with magnetic shear-stiffening gel [J]. Composites Science and Technology, 2023, 232: 109883. doi: 10.1016/j.compscitech.2022.109883
|
| [173] |
PARK S J, LEE J, YANG J, et al. Enhanced energy absorption of additive-manufactured Ti-6Al-4V parts via hybrid lattice structures [J]. Micromachines, 2023, 14(11): 1982. doi: 10.3390/mi14111982
|
| [174] |
DUAN S Y, WEN W B, FANG D N. Additively-manufactured anisotropic and isotropic 3D plate-lattice materials for enhanced mechanical performance: simulations & experiments [J]. Acta Materialia, 2020, 199: 397–412. doi: 10.1016/j.actamat.2020.08.063
|
| [175] |
WANG C, GU X J, ZHU J H, et al. Concurrent design of hierarchical structures with three-dimensional parameterized lattice microstructures for additive manufacturing [J]. Structural and Multidisciplinary Optimization, 2020, 61(3): 869–894. doi: 10.1007/s00158-019-02408-2
|
| [176] |
GAO T Y, LIU K, WANG X X, et al. Elastic mechanical property hybridization of configuration-varying TPMS with geometric continuity [J]. Materials & Design, 2022, 221: 110995. doi: 10.1016/j.matdes.2022.110995
|
| [177] |
YIN Y M, LI F Y, ZHU D C. Enhanced energy absorption characteristics of TPMS lattice structures with linear and circular hybrid designs [J]. Engineering Structures, 2025, 340: 120759. doi: 10.1016/j.engstruct.2025.120759
|
| [178] |
NAZIR A, HUSSAIN S, ALI H M, et al. Design and mechanical performance of nature-inspired novel hybrid triply periodic minimal surface lattice structures fabricated using material extrusion [J]. Materials Today Communications, 2024, 38: 108349. doi: 10.1016/j.mtcomm.2024.108349
|
| [179] |
YANG J L, LIU H, CAI G S, et al. Additive manufacturing and influencing factors of lattice structures: a review [J]. Materials, 2025, 18(7): 1397. doi: 10.3390/ma18071397
|
| [180] |
LIU R, CHEN W H, ZHAO J X. A review on factors affecting the mechanical properties of additively-manufactured lattice structures [J]. Journal of Materials Engineering and Performance, 2024, 33(10): 4685–4711. doi: 10.1007/s11665-023-08423-1
|
| [181] |
WANG R Y, SHI H C, GU J J, et al. Additive manufacturing of metal lattice structures: a comprehensive review of technologies, mechanical properties, applications, and future trends [J]. Materials Today Physics, 2025, 59: 101933. doi: 10.1016/j.mtphys.2025.101933
|
| [182] |
ISAAC C W, DUDDECK F. Current trends in additively manufactured (3D printed) energy absorbing structures for crashworthiness application—a review [J]. Virtual and Physical Prototyping, 2022, 17(4): 1058–1101. doi: 10.1080/17452759.2022.2074698
|
| [183] |
BOHARA R P, LINFORTH S, NGUYEN T, et al. Anti-blast and -impact performances of auxetic structures: a review of structures, materials, methods, and fabrications [J]. Engineering Structures, 2023, 276: 115377. doi: 10.1016/j.engstruct.2022.115377
|
| [184] |
KUMAR V, CHAWLA A, DUBEY D K. Advances in cellular sandwich composite structures under air-blast load conditions: a state-of-the-art review [J]. Composites Part B: Engineering, 2026, 311: 113192. doi: 10.1016/j.compositesb.2025.113192
|
| [185] |
IBHADODE O, ZHANG Z D, SIXT J, et al. Topology optimization for metal additive manufacturing: current trends, challenges, and future outlook [J]. Virtual and Physical Prototyping, 2023, 18(1): e2181192. doi: 10.1080/17452759.2023.2181192
|
| [186] |
LIU Y, ZHENG G L, LETOV N, et al. A survey of modeling and optimization methods for multi-scale heterogeneous lattice structures [J]. Journal of Mechanical Design, 2021, 143(4): 040803. doi: 10.1115/1.4047917
|
| [187] |
BHAT C, PRAJAPATI M J, KUMAR A, et al. Additive manufacturing-enabled advanced design and process strategies for multi-functional lattice structures [J]. Materials, 2024, 17(14): 3398. doi: 10.3390/ma17143398
|
| [188] |
FAN J X, ZHANG L, WEI S S, et al. A review of additive manufacturing of metamaterials and developing trends [J]. Materials Today, 2021, 50: 303–328. doi: 10.1016/j.mattod.2021.04.019
|
| [189] |
MUKHTAR A, YASIR A S H M, NASIR M F M. A machine learning-based comparative analysis of surrogate models for design optimisation in computational fluid dynamics [J]. Heliyon, 2023, 9(8): e18674. doi: 10.2139/ssrn.4435178
|
| [190] |
QU M J, LI M Q, SONG Y H, et al. Multi-objective optimization design method for whole-aeroengine coupling vibration [J]. Aerospace, 2023, 10(2): 99. doi: 10.3390/aerospace10020099
|
| [191] |
NI S Y, CHEN X Y, WU H, et al. Review on data- and mathematics-driven optimization for metamaterial lattice structures [J]. Advanced Engineering Materials, 2026, 28(3): e202501701. doi: 10.1002/adem.202501701
|
| [192] |
KHAN M, HAQ M R U, AHMED Y S, et al. Advanced mechanical metamaterials: hybrid lattice structures, design strategies, multifunctionality, and challenges for additive manufacturing [J]. Advanced Engineering Materials, 2025, 27(17): 2500308. doi: 10.1002/adem.202500308
|
| [193] |
CHEN R G, ZHANG W J, JIA Y F, et al. Ultra-stiff and quasi-elastic-isotropic triply periodic minimal surface structures designed by deep learning [J]. Materials & Design, 2024, 244: 113107. doi: 10.1016/j.matdes.2024.113107
|
| [194] |
MORRIS J, WANG W D, SHAH D, et al. Expanding the design space and optimizing stop bands for mechanical metamaterials [J]. Materials & Design, 2022, 216: 110510. doi: 10.1016/j.matdes.2022.110510
|
| [195] |
TEAWDESWAN L, DONG G Y. Inverse design of multi-material gyroid structures made by additive manufacturing [J]. International Journal of Mechanical Sciences, 2024, 262: 108734. doi: 10.1016/j.ijmecsci.2023.108734
|
| [196] |
HENKES A, HERRMANN L, WESSELS H, et al. Generative adversarial networks enable outlier detection and property monitoring for additive manufacturing of complex structures [J]. Engineering Applications of Artificial Intelligence, 2024, 136: 108993. doi: 10.1016/j.engappai.2024.108993
|
| [197] |
GAO Y N, ZHOU S Z, LI M Q. Structural topology optimization based on diffusion generative adversarial networks [J]. Engineering Applications of Artificial Intelligence, 2024, 138: 109444. doi: 10.1016/j.engappai.2024.109444
|