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A linearized consistent mixed displacement-pressure formulation for hyperelasticity

Kadapa, Chennakesava; Hossain, Mokarram


Mokarram Hossain


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.

Journal Article Type Article
Acceptance Date Apr 27, 2020
Online Publication Date May 20, 2020
Publication Date Jan 14, 2022
Deposit Date Aug 29, 2022
Journal Mechanics of Advanced Materials and Structures
Print ISSN 1537-6494
Electronic ISSN 1537-6532
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 29
Issue 2
Pages 267-284
Keywords Bézier elements, finite element analysis, hyperelasticity, incompressibility, mixed formulation
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