A comparative study of the r-adaptive material force approach and the phase-field method in dynamic fracture
A comparative study of the r-adaptive material force approach and the phase-field method in dynamic fracture
复制标题
DOI：
10.1007/s10704-016-0125-7
复制
发表时间：
2016-06
影响因子：
2.5
通讯作者：
C. Steinke;Kaan Özenç;Gor Chinaryan;M. Kaliske
中科院分区：
文献类型：
--
作者：
C. Steinke;Kaan Özenç;Gor Chinaryan;M. Kaliske
这一贡献提出了一个离散的和涂抹的方法来近似裂纹的有限元模拟，包括在断裂的情况下，瞬态载荷下的脆性材料的行为的惯性的贡献之间的比较。在这种情况下，裂纹的离散近似是基于由裂纹尖端的所谓的“材料力”的评估触发的节点复制技术。裂纹的弥散近似是基于相场法对裂纹的弥散描述。考虑瞬态贡献下的控制方程和有限元实施的程序概述。数值模拟研究这两种方法的能力和局限性。首先，在结构中引入初始裂纹的过程以及使它们与应力波适当相互作用所需的设置正在研究中。此外，本研究涉及的裂纹扩展速度的评价和比较实验数据。最后，对裂纹分叉现象进行了研究。模拟结果的介绍和讨论提供了一个概述的潜力，这两种方法相对于一个有效的和现实的模拟断裂过程中的动态问题。
This contribution presents a comparison between a discrete and a smeared approach to approximate a crack in finite element simulations including the contribution of inertia to the behavior of brittle material under transient loading in the case of fracture. The discrete approximation of a crack is based in this case on a node duplication technique triggered by the evaluation of the so-called “material force” at the crack tip. The smeared approximation of a crack bases on the diffuse description of the crack by a phase-field approach. The governing equations under consideration of transient contributions are shown and the procedure for the finite element implementation is outlined. Numerical simulations investigate the capabilities and limitations of both methods. Firstly, the procedure to introduce initial cracks in a structure and the setup necessary to make them interact with stress waves properly, are under investigation. Moreover, this study deals with the evaluation of the velocity of the crack propagation and its comparison to experimental data. Finally, the phenomenon of crack branching is studied. The presentation and discussion of the results of the simulations provide an overview on the potential of both approaches with respect to an efficient and a realistic simulation of fracture processes in dynamic problems.