A Discontinuous/continuous Galerkin method for modeling of interphase damage in fibrous composite systems
A Discontinuous/continuous Galerkin method for modeling of interphase damage in fibrous composite systems
复制标题
用于纤维复合材料系统中相间损伤建模的间断/连续伽辽金方法
DOI：
10.1007/s00466-012-0827-2
复制
发表时间：
2013
影响因子：
4.1
通讯作者：
A. Masud
中科院分区：
文献类型：
--
作者：
T. Truster;A. Masud
提出了一种嵌入连续Galerkin方程的间断Galerkin（DG）界面处理方法，用于模拟双材料界面的渐进脱粘。该方法无缝地跟踪从完美的粘附到界面软化，最后到完全分离的过程，而不需要求助于节点到节点的弹簧或删除连接。虽然该公式的灵感来自于增广拉格朗日方法，但它没有引入乘子场来强制执行连续性条件，从而导致纯位移法适用于传统的对称正定解算器。纤维复合材料的研究作为本工作的应用。界面的本构行为是在一个充满活力的框架内建模的启动标准和软化响应发散。数值模拟进行了各种加载情况下的纤维矩阵单元格，突出了该方法的性能粗糙的网格。
A Discontinuous Galerkin (DG) interface treatment embedded in a Continuous Galerkin formulation is presented for simulating the progressive debonding of bi-material interfaces. The method seamlessly tracks the progression from perfect adhesion to interface softening and finally to complete separation without resorting to node-to-node springs or deletion of connectivities. While the formulation is inspired by an augmented Lagrangian approach, it does not introduce multiplier fields to enforce the continuity conditions, resulting in a pure displacement method amenable to traditional symmetric positive-definite solvers. The study of fibrous composites serves as the application in the present work. The constitutive behavior of the interface is modeled within an energetic framework from which the initiation criterion and softening response emanate. Numerical simulations are conducted for various loading cases on a fiber-matrix unit cell that highlight the performance of the method on crude meshes.