3D Dynamic Crack under Cyclic Loading using XFEM: Numerical Treatment
3D Dynamic Crack under Cyclic Loading using XFEM: Numerical Treatment
复制标题
使用 XFEM 循环加载下的 3D 动态裂纹：数值处理
DOI：
10.1002/pamm.201900147
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Wriggers
中科院分区：
文献类型：
--
作者：
Löhnert;Wriggers
扩展有限元法（XFEM）是一种处理位移场中任意不连续面而不依赖于有限元网格的特殊数值方法。这在裂纹萌生、扩展和扩展过程中是有利的。在连续损伤力学的范围内，梯度增强损伤模型可以用来模拟损伤和断裂，而不需要虚假的网格依赖关系。梯度增强损伤模型在准脆性和弹塑性材料中得到了广泛的研究。为了避免材料的断裂和失效，对构件在循环载荷下的疲劳寿命进行建模具有重要意义。这篇文章的重点是算法问题。研究了循环荷载作用下三维裂纹的数值处理方法。用十节点四面体单元对区域进行离散化。采用XFEM捕获离散裂纹，并用水平集方法进行更新。为了充分利用显式时间离散化方法的优势，提出了梯度增强损伤的修正微分方程，并采用中心差分显式时间步进法使方程得到了2倍的精度。
The eXtended Finite Element Method (XFEM) is a special numerical method to handle arbitrary discontinuities in the displacement field independent of the finite element mesh. This is advantageous during crack initiation, growth and propagation processes. In the range of continuum damage mechanics, gradient‐enhanced damage models can be used to model damage and fracture without spurious mesh dependencies. Gradient‐enhanced damage models have been investigated extensively in the context of quasi‐brittle and elasto‐plastic materials. To avoid fracture and failure of materials, modelling the component under cyclic loading is significant for fatigue lifetime prediction. The focus of this contribution is set on algorithmic issues. The numerical treatment of 3d cracks under cyclic loading is investigated. The domain is discretized with ten‐node tetrahedral elements. Discrete cracks are captured using XFEM and updated by level set methods. In oder to take advantage of the explicit time discretization scheme, a modified differential equation for the gradient‐enhanced damage is presented and the central difference explicit time stepping method is employed to obtain 2ndoder accuracy of the solved equations.
异质材料的显式动力学 X-FEM 模拟
DOI：
--
发表时间：
2012
期刊：
影响因子：
--
作者：
S. Shahbeyk;M. Yaghoobi;A. Vafai
通讯作者：
A. Vafai