Implementation of a physics-based general elastic imperfect interface model in the XFEM and LSM context
Implementation of a physics-based general elastic imperfect interface model in the XFEM and LSM context
复制标题
在 XFEM 和 LSM 环境中实现基于物理的一般弹性不完美界面模型
DOI：
10.1002/nme.5907
复制
发表时间：
2018
影响因子：
2.9
通讯作者：
He Q C
中科院分区：
文献类型：
--
作者：
Liu J T;He B;Gu S T;He Q C
当复合材料中的增强体颗粒与基体介质的结合不完全时，界面效应会显著地改变复合材料中的物理场和材料的整体模量。在本文中，我们首先回顾了我们的同伴论文中描述这种效应的基于物理的一般各向同性界面模型。该模型的特征在于界面上的位移和法向牵引不连续性，并包括弹簧层界面模型和相干界面模型作为特殊情况。给出了含任意形状缺陷界面的复合材料的强、弱控制方程，并在扩展有限元法和水平集方法的基础上，建立了一种捕捉界面不连续性的计算方法。为了检查的性能和有效性的计算方法，我们以前的工作的分析解决方案被用作基准和几个散装和界面材料的组合被认为是。据观察，我们的方法的最慢收敛速度是不小于1.45的所有调查的情况下，预测的位移和法向牵引力是在良好的协议与解析解。最后，材料成分和周期性边界条件的影响进行了数值评估，并讨论了含有多个颗粒的非均匀材料。
When reinforcement particles of composites are imperfectly bonded to the matrix media, the interfacial effect may significantly change the physical fields and the material overall moduli. In this paper, we first recall a physics‐based general isotropic interface model of our companion paper to describe such effects. This model is characterized by both the displacement and normal traction discontinuities across an interface and includes the spring‐layer interface model and the coherent interface model as particular cases. The strong and weak governing formulations of composites with arbitrarily shaped imperfect interfaces are provided, and a computational approach is developed in the extended finite element method and level set method context to capture the interfacial discontinuities. To examine the performance and validity of the computational approach, the analytical solution of our previous work is used as a benchmark and several bulk and interface material combinations are considered. It is observed that the slowest convergence rate of our approach is no less than 1.45 for all investigated cases, and that both the predicted displacements and normal tractions are in excellent agreement with the analytic solutions. Finally, the influences of material compositions and periodic boundary conditions are evaluated numerically and discussed with a heterogeneous material containing multiple particles.