The finite cell method for nearly incompressible finite strain plasticity problems with complex geometries
The finite cell method for nearly incompressible finite strain plasticity problems with complex geometries
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DOI：
10.1016/j.camwa.2018.01.048
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发表时间：
2018-05
期刊：
影响因子：
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通讯作者：
A. Taghipour;J. Parvizian;S. Heinze;A. Düster
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文献类型：
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作者：
A. Taghipour;J. Parvizian;S. Heinze;A. Düster
本文研究了有限单元法在近不可压缩有限应变塑性问题中的性能。有限单元法是虚拟域法与高阶有限元法的结合。它为高度复杂的几何图形提供了简单的网格生成功能；此外，该方法具有较高的收敛速度，克服锁定的可能性和对高网格畸变的鲁棒性。在基准计算和应用问题的基础上，对该方法的性能进行了数值研究。用h型和p型有限元法对计算结果进行了验证。结果表明，有限单元法是一种适用于具有复杂几何结构和微结构材料的大塑性变形的模拟工具，例如由几乎不可压缩的j2塑性理论的延性材料组成的多孔金属和多孔金属。
In this paper, the performance of the Finite Cell Method is studied for nearly incompressible finite strain plasticity problems. The Finite Cell Method is a combination of the fictitious domain approach with the high-order Finite Element Method. It provides easy mesh generation capabilities for highly complex geometries; moreover, this method offers high convergence rates, the possibility to overcome locking and robustness against high mesh distortions. The performance of this method is numerically investigated based on computations of benchmark and applied problems. The results are also verified with the h-and p-version Finite Element Method. It is demonstrated that the Finite Cell Method is an appropriate simulation tool for large plastic deformations of structures with complex geometries and microstructured materials, such as porous and cellular metals that are made up of ductile materials obeying nearly incompressible J 2 theory of plasticity.