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Homogenization and Localization of Ratcheting Behavior of Composite Materials and Structures with the Thermal Residual Stress Effect

机译：具有热残余应力效应的复合材料和结构棘轮行为的均质化和局域​​化

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摘要

In this contribution, the ratcheting behavior and local field distribution of unidirectional metal matrix composites are investigated under cyclic loading. To that end, we extended the finite-volume direct averaging micromechanics (FVDAM) theory by incorporating the rule of nonlinear kinematic hardening. The proposed method enables efficient and accurate simulation of the ratcheting behavior of unidirectional composites. The local satisfaction of equilibrium equations of the FVDAM theory facilitates quick and rapid convergence during the plastic iterations. To verify the proposed theory, a finite-element (FE) based unit cell model is constructed with the same mesh discretization. The remarkable correlation of the transverse response and local field distribution generated by the FVDAM and FE techniques demonstrates the effectiveness and accuracy of the proposed models. The stress discontinuities along the fiber/matrix interface that are generic to the finite-element theory are absent in the FVDAM prediction. The effects of thermal residual stresses induced during the consolidation process, as well as fiber orientations, are revealed. The generated results indicate that the FVDAM is well suited for simulating the elastic-plastic ratcheting behavior of metal matrix composites, which will provide the conventional finite-element based technique with an attractive alternative.
机译：在这一贡献中，研究了循环载荷下单向金属基复合材料的棘轮行为和局部场分布。为此，我们结合了非线性运动强化规则，扩展了有限体积直接平均微力学（FVDAM）理论。所提出的方法能够对单向复合材料的棘轮行为进行高效而准确的仿真。 FVDAM理论的平衡方程的局部满足性有助于塑料迭代过程中的快速收敛。为了验证所提出的理论，使用相同的网格离散化构造了基于有限元（FE）的晶胞模型。 FVDAM和FE技术产生的横向响应与局部场分布之间的显着相关性证明了所提出模型的有效性和准确性。 FVDAM预测中不存在沿有限元理论通用的沿纤维/基体界面的应力不连续性。揭示了固结过程中引起的热残余应力以及纤维取向的影响。生成的结果表明，FVDAM非常适合模拟金属基复合材料的弹塑性棘轮行为，这将为基于有限元的常规技术提供有吸引力的替代方案。

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