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A linearized consistent mixed displacement-pressure formulation for hyperelasticity
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Mokarram Hossain
Mechanics of Advanced Materials and Structures, Volume: 29, Issue: 2, Pages: 267 - 284
Swansea University Authors:
Chennakesava Kadapa , Mokarram Hossain
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DOI (Published version): 10.1080/15376494.2020.1762952
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...
| Published in: | Mechanics of Advanced Materials and Structures |
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| ISSN: | 1537-6494 1537-6532 |
| Published: |
Informa UK Limited
2022
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa54433 |
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| 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. |
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| Issue: |
2 |
| Start Page: |
267 |
| End Page: |
284 |