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A linearized consistent mixed displacement-pressure formulation for hyperelasticity
Mechanics of Advanced Materials and Structures ( IF 2.8 ) Pub Date : 2020-05-20 , DOI: 10.1080/15376494.2020.1762952
Chennakesava Kadapa 1 , Mokarram Hossain 2
Affiliation  

Abstract

We propose a novel mixed displacement-pressure formulation based on an energy functional that takes into account the relation between the pressure and the volumetric energy function. We demonstrate that the proposed two-field mixed displacement-pressure formulation is not only applicable for nearly and truly incompressible cases but also is consistent in the compressible regime. Furthermore, we prove with analytical derivation and numerical results that the proposed two-field formulation is a simplified and efficient alternative for the three-field displacement-pressure-Jacobian formulation for hyperelastic materials whose strain energy density functions are decomposed into deviatoric and volumetric parts.



中文翻译:

用于超弹性的线性一致混合位移压力公式

摘要

我们提出了一种基于能量函数的新型混合排量-压力公式,该公式考虑了压力和体积能量函数之间的关系。我们证明了所提出的两场混合位移-压力公式不仅适用于几乎和真正不可压缩的情况,而且在可压缩状态下也是一致的。此外,我们通过解析推导和数值结果证明,所提出的两场公式是超弹性材料的三场位移-压力-雅可比公式的简化且有效的替代方案,其应变能密度函数被分解为偏量和体积部分。

更新日期:2020-05-20
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