Penalty function formulations for incompressible nonlinear elastostatics
Penalty function formulations for incompressible nonlinear elastostatics
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DOI：
10.1016/0045-7825(82)90035-4
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发表时间：
1982-10
影响因子：
7.2
通讯作者：
J. Simo;R. Taylor
中科院分区：
文献类型：
--
作者：
J. Simo;R. Taylor
不可压缩非线性弹性固体的分析采用罚函数方法来考虑。特别是解决了开发各向同性非线性弹性罚分形式的必要兼容性条件，并且扩展了应变能泛函的常用形式，从而扩展了不可压缩性约束的罚分公式。 Mooney-Rivlin 模型用于展示先前的发展如何导致物理上毫无意义的情况。对于某一类不可压缩材料，其中包括重要的 Mooney-Rivlin 模型，提出了一种新的且特别简单的公式。
The analysis of incompressible nonlinear elastic solids is considered by a penalty function approach. In particular the necessary compatibility conditions for developing penalty forms for isotropic nonlinear elasticity are addressed, and the commonly used form of strain energy functional leading to a penalty formulation of the incompressibility constraint extended. The Mooney-Rivlin model is used to show how previous developments can lead to physically meaningless situations. For a certain class of incompressible materials, which includes the important Mooney-Rivlin model, a new and particularly simple formulation is proposed.