The Moving Finite Element Method Based on Delaunay Automatic triangulation For Fracture Path Prediction Simulations In Nonlinear Elastic-Plastic Materials
T. Nishioka1, Y. Kobayashi1, T. Fujimoto1
Faculty of Maritime Sciences, Kobe University, Kobe, Japan
First, for growing cracks in elastic-plastic materials, an incremental variational principle is developed to satisfy the boundary conditions near newly created crack surfaces. Then using this variational principle, a moving finite element method is formulated and developed, based on the Delaunay automatic triangulation. Furthermore, theoretical backgrounds on numerical prediction for fracture path of curving crack using T* integral are explained. Using the automatic moving finite element method, fracture-path prediction simulations are successfully carried out.
Nishioka, T., Kobayashi, Y., Fujimoto, T. (2007). The Moving Finite Element Method Based on Delaunay Automatic triangulation For Fracture Path Prediction Simulations In Nonlinear Elastic-Plastic Materials. CMES-Computer Modeling in Engineering & Sciences, 17(3), 231–238. https://doi.org/10.3970/cmes.2007.017.231
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