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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A generalized bond-based peridynamic model for quasi-brittle materials enriched with bond tension-rotation-shear coupling effects
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A generalized bond-based peridynamic model for quasi-brittle materials enriched with bond tension-rotation-shear coupling effects

机译：用于粘结旋转剪切耦合效应的准脆性材料的广义粘合基于逆剧模型

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摘要

A generalized bond-based micropolar peridynamic model is proposed to simulate the nonlinear deformation and mixed-mode crack propagation of quasi-brittle materials under arbitrary dynamic loads. The mechanical behaviors of the material points are reformulated by incorporating the bond tension-rotation-shear coupling effects, which makes the model suitable for complex discontinuous problems in both three-dimensional spatial and two-dimensional plane conditions. The governing equations of the bond are established by employing the Timoshenko beam theory to simulate the interaction between material points as well as the bond coupling effect. Three kinds of peridynamic parameters, corresponding to the compressive, shear and bending stiffness of the bond, are introduced to keep the consistence of the strain energy obtained from the proposed peridynamic model and from the continuum mechanics under arbitrary deformation fields. Moreover, a novel energy-based failure criterion, involving the maximum stretch, shear strain and rotation angle limits of the bond, is proposed to describe the nonlinear behaviors and progressive failure for general quasi-brittle materials. The proposed model is verified by providing comparisons between its results and those from known analytical solutions and experimental observations. The influences of the bond tension-rotation-shear coupling effect as well as the applicability of the proposed model for the wave propagation, complex deformation and mix-mode fracture problems are also investigated. Results show that the proposed model with the bond coupling effect will greatly improve the simulation accuracy for dynamic problems of quasi-brittle materials under complex loading conditions. Results also indicate that the proposed model can well capture the nonlinear deformation, crack propagation, as well as progressive failure of materials with variable Poisson's ratios under complex combined loads. (C) 2020 ElsevierB.V. All rights reserved.
机译：提出了一种广泛的基于键的微极逆向运动模型，用于在任意动态载荷下模拟准脆性材料的非线性变形和混合模式裂纹传播。通过结合粘合张力旋转剪切耦合效果来重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新重新制定。这使得模型适用于三维空间和二维平面条件中的复杂不连续问题。通过采用Timoshenko光束理论来确定键的控制方程，以模拟材料点之间的相互作用以及粘合耦合效果。引入对应于粘合剂的压缩，剪切和弯曲刚度的三种闭膜动力参数，以保持由所提出的白启模型和任意变形领域的连续力学获得的应变能的一致性。此外，提出了一种新的基于能量基故障标准，涉及键合键的最大拉伸，剪切应变和旋转角度限制，以描述一般准脆性材料的非线性行为和逐渐失效。通过从已知的分析解决方案和实验观察结果之间提供比较来验证所提出的模型。还研究了粘合张力旋转剪切耦合效应的影响以及提出模型的波传播，复杂变形和混合模式断裂问题的应用。结果表明，该模型具有粘合耦合效果将大大提高复杂负载条件下准脆性材料动态问题的模拟精度。结果还表明，所提出的模型可以很好地捕获非线性变形，裂纹传播，以及在复杂的组合负载下具有可变泊松比的材料的逐步失效。 （c）2020 elsevierb.v。版权所有。

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