论文标题
一种线性的一致的混合位移压制配方，以实现超弹性
A linearised consistent mixed displacement-pressure formulation for hyperelasticity
论文作者
论文摘要
我们提出了一种基于能量功能的新型混合置换压力公式，该功能考虑了压力和体积能函数之间的关系。我们证明，所提出的两场混合置换压力配方不仅适用于几乎且真正不可压缩的情况，而且在可压缩的制度中也是一致的。此外，我们通过分析推导和数值结果证明，提出的两场配方是对高弹性材料的三场置换压力 - 雅各布制剂的简化和有效替代方案，其过度弹性材料的应变能密度功能分解为偏离和体积部分。
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.
