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首页> 外文期刊>Journal of Applied Polymer Science >AN EXTENSION OF THE PENALTY FUNCTION FORMULATION TO INCOMPRESSIBLE HYPERELASTIC SOLIDS DESCRIBED BY GENERAL MEASURE OF STRAIN
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AN EXTENSION OF THE PENALTY FUNCTION FORMULATION TO INCOMPRESSIBLE HYPERELASTIC SOLIDS DESCRIBED BY GENERAL MEASURE OF STRAIN

机译：一般应变测量描述的不可压缩超弹性固体的罚函数公式的扩展

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The penalty function formulation for incompressible hyperelastic solids was first proposed about 30 years ago. Since then all studies have been limited to invariant type formulation of the strain energy function, although it is well known that this formulation does not correctly describe the behavior of a real material. On the other hand more realistic constitutive equations, based on general measures of the strain only, have been incorporated to mixed finite element algorithms. In this article, a penalty function formulation is proposed for the analysis of stress field in materials with constitutive equations based on the general measure of strain. The reduced integration method is used to weaken the penalty constraint in order to obtain meaningful numerical results. The incremental equilibrium equations are solved using the regular Newton-Raphson algorithm. The method is applied to evaluate the stress field in materials subjected to plane strain conditions. Satisfactory agreements have been obtained with analytical solutions when available. (C) 1995 John Wiley and Sons, Inc. [References: 39]
机译：不可压缩的超弹性固体的罚函数公式最早是在30年前提出的。从那时起，所有研究都局限于应变能函数的不变类型公式，尽管众所周知该公式不能正确描述真实材料的行为。另一方面，仅基于应变的一般度量，更实际的本构方程已被纳入混合有限元算法。本文提出了一种惩罚函数公式，用于基于一般应变量的本构方程来分析材料的应力场。简化积分法用于削弱惩罚约束，以获得有意义的数值结果。使用常规的牛顿-拉夫森算法求解增量平衡方程。该方法用于评估平面应变条件下材料的应力场。可用的分析解决方案已获得令人满意的协议。 （C）1995 John Wiley and Sons，Inc. [参考：39]

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