A linearized consistent mixed displacement-pressure formulation for hyperelasticity. Issue 2 (10th February 2022)

• Record Type: Journal Article
• Authors: Kadapa, Chennakesava; Hossain, Mokarram
• Is Part Of: Mechanics of advanced materials and structures. Volume 29:Issue 2(2022)
• Page Start: 267
• Page End: 284
• Publication Date: 2022-02-10
• Subjects: Bézier elements -- finite element analysis -- hyperelasticity -- incompressibility -- mixed formulation; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2020.1762952
• Languages: English
• ISSNs: 1537-6494

Abstract

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.