Journal
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
Volume 29, Issue 2, Pages 267-284Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2020.1762952
Keywords
Bezier elements; finite element analysis; hyperelasticity; incompressibility; mixed formulation
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Funding
- Supercomputing Wales project - European Regional Development Fund (ERDF) via the Welsh Government
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We propose a novel mixed displacement-pressure formulation based on an energy functional, which takes into account the relation between the pressure and the volumetric energy function. Through analytical derivation and numerical results, we prove that the proposed two-field formulation is a simplified and efficient alternative for hyperelastic materials.
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.
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