二维各向异性多孔材料多轴蠕变行为的数值模拟

刘浩伟; 苏步云; 邱吉; 李志强

doi:10.11858/gywlxb.20200561

二维各向异性多孔材料多轴蠕变行为的数值模拟

doi: 10.11858/gywlxb.20200561

刘浩伟^1,,
苏步云^{1, 2, 3},
邱吉¹,
李志强^{1, 2, 3,*, ,}

1.
太原理工大学机械与运载工程学院应用力学研究所，山西太原　030024
2.
材料强度与结构冲击山西省重点实验室，山西太原　030024
3.
力学国家级实验教学示范中心（太原理工大学），山西太原　030024

基金项目: 国家自然科学基金（11972244）；山西省自然科学基础研究项目（201801D221026）

详细信息

作者简介:
刘浩伟（1993－），男，硕士研究生，主要从事冲击动力学研究.E-mail：liuhaowei0924@link.tyut.edu.cn

通讯作者:
李志强（1973－），男，博士，教授，主要从事冲击动力学和计算力学研究.E-mail：lizhiqiang@tyut.edu.cn

中图分类号: O347.1
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出版历程
- 收稿日期: 2020-05-25
- 修回日期: 2020-06-10

Numerical Simulation of Multiaxial Creep Behavior of 2D Anisotropic Cellular Materials

LIU Haowei^1
,,
SU Buyun^{1, 2, 3},
QIU Ji¹,
LI Zhiqiang^{1, 2, 3,*
, ,}

1.
Institute of Applied Mechanics, College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China
2.
Shanxi Key Laboratory of Material Strength & Structural Impact, Taiyuan 030024, Shanxi, China
3.
National Demonstration Center for Experimental Mechanics Education (Taiyuan University of Technology), Taiyuan 030024, Shanxi, China

摘要

摘要: 基于二维各向异性多孔材料的Voronoi模型，对其单轴、多轴蠕变行为开展系统的研究。大量的数值模拟结果显示，二维各向异性多孔材料的力学性能对表征各向异性程度的几何拉伸系数R有明显的依赖性，其中参数r₁和ν₁₂随着R的增大而逐渐增大，参数r₂的变化规律则相反。对于二维各向异性多孔材料而言，随着R的增大，沿拉伸方向上的单轴稳态蠕变率增大，而另一方向上的性能却逐渐降低。基于特征应力-特征应变关系，建立了一个能够描述二维各向异性多孔材料多轴蠕变行为的理论模型。将不同各向异性程度及不同加载条件下材料的稳态蠕变率的数值模拟结果与该模型的预测结果进行对比，发现两者吻合较好，证明了该理论模型的有效性。
- 多孔材料 /
- Voronoi模型 /
- 多轴加载 /
- 稳态蠕变率
Abstract: Based on the Voronoi model of 2D anisotropic cellular materials, the uniaxial and multiaxial creep behaviors were systematically studied. A large number of numerical simulation results showed that the mechanical properties of the 2D anisotropic cellular materials are greatly dependent on the geometric tensile coefficient R, which represents the degree of anisotropy. Among them, the values of the parameters r₁ and $\nu_{12} $ gradually increase with the increase of R, and the change rule of the parameter r₂ is just the opposite. For 2D anisotropic cellular materials, with the increase of R, the uniaxial steady-state creep rate along the tensile direction increases, while the performance in the other direction decreases gradually. In addition, based on the relationship between characteristic stress and characteristic strain, a theoretical model was established, which can describe the multiaxial creep behavior of 2D anisotropic cellular materials. By comparing the prediction results of the model with the numerical simulation results of the steady-state creep rate of materials under different anisotropic degrees and loading conditions, it was found that these two agree well, which proves the validity of the theoretical model established in this paper.
- cellular materials /
- Voronoi model /
- multi-axis loading /
- steady-state creep rate

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图 1 二维各向异性多孔材料有限元模型的建立

Figure 1. Establishment of finite element model of 2D anisotropic cellular material

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图 2 二维多孔材料多轴加载示意图

Figure 2. Schematic of 2D cellular material under multiaxial loading

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图 3 二维各向异性多孔材料在不同方向的稳态蠕变率

Figure 3. Steady creep strain rate of 2D anisotropic cellular material in different directions

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图 4 弹塑性参数拟合结果

Figure 4. Elastoplastic parameter fitting results

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图 5 理论模型与有限元分析结果对比

Figure 5. Comparison of the phenomenological model and the FEA results

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