不同数量碳纤维布条带约束煤样的轴压蠕变特性细观模拟研究

李庆文; 高翔; 谭正林; 张帅帅; 徐康康; 才诗婷

doi:10.11858/gywlxb.20240861

不同数量碳纤维布条带约束煤样的轴压蠕变特性细观模拟研究

doi: 10.11858/gywlxb.20240861

辽宁工业大学土木建筑工程学院, 辽宁锦州　121001

基金项目: 辽宁省教育厅基本科研面上项目（JYTMS20230866）；辽宁省自然科学基金面上项目（2023-MS-298）；辽宁省博士科研启动基金（2019-BS-120）；辽宁省自然科学基金指导项目（20180550297）

详细信息

作者简介:
李庆文（1987－），男，博士，副教授，主要从事岩石力学、新材料与新型组合结构及离散元-有限差分跨尺度耦合细观模拟研究. E-mail：lgjzlqw@163.com

通讯作者:
高翔（1998－），男，硕士研究生，主要从事离散元-有限差分跨尺度耦合细观模拟研究. E-mail：1693985067@qq.com

中图分类号: TU45; O521.9
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出版历程
- 收稿日期: 2024-07-23
- 修回日期: 2024-08-06
- 网络出版日期: 2025-01-13
- 刊出日期: 2025-04-03

Microscopic Simulation Study on Uniaxial Compressive Creep Characteristics of Coal Samples Constrained by Different Numbers of Carbon Fiber Reinforced Polymer Strips

School of Civil and Architectural Engineering, Liaoning University of Technology, Jinzhou 121001, Liaoning, China

摘要

摘要: 为探究不同数量碳纤维增强复合材料（carbon fiber reinforced polymer, CFRP）条带对轴压煤样蠕变力学特性的影响，耦合PFC^3D软件与FLAC^3D软件，结合伯格斯（Burger’s）模型与平行黏结（Linearpbond）模型，建立混合接触的细观数值模型。根据未约束煤与6条带CFRP约束煤样单轴压缩蠕变室内试验，验证了数值模型的可靠性。研究了2～7条带CFRP约束煤样在单轴压缩蠕变下的力学特性及能量演化。研究表明：随着条带数的增加，煤样在初始阶段的轴向应变整体呈现增大趋势，加速蠕变阶段轴向应变明显增大；混合接触模型内部接触的最大力整体呈现增大趋势；伯格斯模型接触数量与平行黏结模型接触数量的比值约为1∶9时，数值模拟模型能够反映出煤样蠕变的力学特性；增加CFRP条带数，煤样的径向变形受到限制，产生的剪切微裂纹增多，煤样内部的剪切破坏更加严重，煤样的破坏形态由张拉破坏逐渐向剪切破坏转变；随着碳纤维布条带数量的增加，煤样的总能量、弹性能、耗散能均增加，在煤样发生蠕变失稳前，弹性能的变化与总能量的变化较为相似。
- 碳纤维增强复合材料 /
- 条带数 /
- 单轴压缩蠕变 /
- 伯格斯模型 /
- PFC^3D-FLAC^3D耦合
Abstract: To investigate the influence of carbon fiber reinforced polymer (CFRP) strip with different number on the creep mechanical properties of coal samples under axial compression, a coupled numerical simulation using PFC^3D and FLAC^3D software was conducted, and a hybrid contact model combining the Burger’s model and the Linearpbond model was established. The reliability of the numerical model was validated based on laboratory uniaxial compressive creep tests of unconstrained coal and coal samples constrained with 6 strips of CFRP sheet. The mechanical properties and energy evolution of coal samples constrained with 2 to 7 strips of CFRP sheet under uniaxial compression were studied by numerical simulations. The results show that as the number of strips increases, the initial axial strain of the coal sample tends to increase overall, with a significant increase in axial strain during the accelerated creep stage, and the maximum internal contact force in the hybrid contact model tends to increase overall. The ratio of the contact quantity of Burger’s model to that of Linearpbond model is about 1∶9, and this ratio in the numerical simulation model could reflect the creep mechanical properties of coal samples. Increasing the number of CFRP strips restricts radial deformation, increases the number of shear micro-cracks, causes more severe shear damage within the coal sample, and the failure mode of the coal sample changes from tensile failure to shear failure. As the number of strips increases, the total energy, elastic energy, and dissipated energy all increase, and the change in elastic energy is similar to the change in total energy before the coal sample experiencing creep instability.
- carbon fiber reinforced polymer /
- strip number /
- uniaxial compressive creep /
- Burger’s model /
- PFC^3D-FLAC^3D coupling

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图 1 平行黏结模型接触示意图

Figure 1. Schematic diagram of the parallel bonding model for contact

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图 2 伯格斯模型接触示意图

Figure 2. Schematic diagram of the Burger’s model for contact

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图 3 混合接触模型构建原理

Figure 3. Construction principle of mixed contact model

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图 4 数值模拟中试件接触的构建

Figure 4. Specimen contact construction for numerical simulation

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图 5 模拟和试验获得的素煤样的单轴蠕变-时间曲线

Figure 5. Uniaxial creep-time curves of unconfined coal sample obtained by simulation and experiment

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图 6 CFRP条带载荷-应变曲线

Figure 6. Tensile load-axial strain curves of CFRP sheets

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图 7 CFRP条带约束煤样细观模型

Figure 7. Microscale model of coal sample constrained by CFRP strips

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图 8 6条CFRP条带约束煤样的应变-时间曲线

Figure 8. Strain-time curve of coal sample constrained by 6 CFRP strips

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图 9 不同数量CFRP条带约束煤样的应变-时间曲线

Figure 9. Strain-time curves for coal samples constrained by different numbers of CFRP strips

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图 10 不同数量CFRP条带约束的煤样的破坏形态

Figure 10. Damage patterns for coal samples constrained by different numbers of CFRP strips

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图 11 不同数量CFRP条带约束煤样破坏时混合接触模型

Figure 11. Mixed contact model for coal samples at failure constrained by different numbers of CFRP strips

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图 12 不同数量CFRP条带约束煤样破坏时的裂隙空间分布

Figure 12. Spatial distribution of cracks in damaged coal samples constrained by different numbers of CFRP strips

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图 13 不同数量CFRP条带约束煤样轴压蠕变时的裂纹演化曲线

Figure 13. Crack evolution curves for coal samples constrained by different numbers of CFRP strips under axial compression creep test

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图 14 能量计算原理^[32–33]

Figure 14. Principle of energy calculation^[32–33]

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图 15 2～7 CFRP条带约束煤样的能量演化

Figure 15. Energy evolution in coal samples constrained by 2–7 CFRP strips

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表 1 接触模型的细观参数

Table 1. Microscopic parameters of contact model

Linearpbond model
Linearpbond effective modulus/GPa	Linearpbond stiffness ratio	Normal bond strength/MPa	Tangential bond strength/MPa	Coefficient of friction	Angle of friction/(°)
1	1.4	10	10	1.5	50

Burger’s model
Maxwell bulk modulus/MPa	Maxwell viscosity coefficient/(MPa·s)	Kelvin bulk modulus/MPa	Kelvin viscosity coefficient/(MPa·s)	Coefficient of friction
1	90	10	1	1.5

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表 2 CFRP条带模型参数

Table 2. Model parameters of CFRP sheets

T_g/MPa	E_g/GPa	t/(mm·ply⁻¹)	φ_i/(°)
918.07	47.54	0.167	30

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表 3 不同数量CFRP条带约束煤样破坏时的力链

Table 3. Force chains in coal samples at failure constrained by different numbers of CFRP strips

Number of strips	Number of contacts	Maximum contact force/N
2	30511	434.7
3	28852	534.9
4	29378	678.2
5	28609	570.7
6	25655	979.5
7	25747	1121.7

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表 4 不同数量CFRP条带约束煤样破坏时的裂隙数量

Table 4. Number of cracks in the failure of coal samples constrained by different numbers of CFRP strips

Number of strips	Number of tension cracks	Number of shear cracks	Total number of cracks
2	1420	7	1427
3	3014	287	3301
4	2167	389	2556
5	2553	1107	3660
6	6832	2457	9289
7	4295	5012	9307

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