Generalized finite element method for modeling nearly incompressible bimaterial hyperelastic solids
Generalized finite element method for modeling nearly incompressible bimaterial hyperelastic solids
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DOI：
10.1016/j.cma.2008.07.014
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发表时间：
2008-10
影响因子：
7.2
通讯作者：
K. Srinivasan;K. Matous;P. Geubelle
中科院分区：
文献类型：
--
作者：
K. Srinivasan;K. Matous;P. Geubelle
提出了广义有限元方法对混合有限元方法类别的扩展，以解决具有几乎不可压缩的非线性超弹性材料行为的异质系统。特别是，使用两种公式研究在经历大应变的材料界面上具有大模量不匹配的异质系统，一种基于连续变形图，另一种基于不连续变形图。双材料贴片测试旨在评估两种配方再现恒定应力场的能力，而网格收敛研究则用于检查配方的一致性。最后，模拟了模型异质推进剂包的压缩，以证明所提出的不连续变形图公式的鲁棒性。
An extension of the generalized finite element method to the class of mixed finite element methods is presented to tackle heterogeneous systems with nearly incompressible non-linear hyperelastic material behavior. In particular, heterogeneous systems with large modulus mismatch across the material interface undergoing large strains are investigated using two formulations, one based on a continuous deformation map, the other on a discontinuous one. A bimaterial patch test is formulated to assess the ability of the two formulations to reproduce constant stress fields, while a mesh convergence study is used to examine the consistency of the formulations. Finally, compression of a model heterogeneous propellant pack is simulated to demonstrate the robustness of the proposed discontinuous deformation map formulation.