Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity

DOI10.1016/j.cma.2016.09.047zbMath1439.74383OpenAlexW2530009415WikidataQ56655134 ScholiaQ56655134MaRDI QIDQ2308766

Arzhang Angoshtari, Mostafa Faghih Shojaei, Arash Yavari

Publication date: 3 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2016.09.047

zbMATH Keywords

mixed finite element methodsnonlinear elasticitygeometric mechanicsfinite element exterior calculusHilbert complexHadamard jump condition

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (15)

A mixed variational principle in nonlinear elasticity using Cartan's moving frames and implementation with finite element exterior calculus ⋮ Compatible-strain mixed finite element methods for incompressible nonlinear elasticity ⋮ Multi-field variational formulations and mixed finite element approximations for electrostatics and magnetostatics ⋮ Compatible-strain mixed finite element methods for 3D compressible and incompressible nonlinear elasticity ⋮ Distance minimizing based <scp>data‐driven</scp> computational method for the finite deformation of hyperelastic materials ⋮ A compatible mixed finite element method for large deformation analysis of two‐dimensional compressible solids in spatial configuration ⋮ Hourglassing‐ and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanics ⋮ A mixed method for 3D nonlinear elasticity using finite element exterior calculus ⋮ Finite element systems for vector bundles: elasticity and curvature ⋮ Applications of Algebraic Topology in Elasticity ⋮ Three-field mixed finite element methods for nonlinear elasticity ⋮ On the impossibility of arbitrary deformations in nonlinear elasticity ⋮ Variational-based higher-order accurate energy-momentum schemes for thermo-viscoelastic fiber-reinforced continua ⋮ Hilbert complexes of nonlinear elasticity ⋮ A finite strain Raviart-Thomas tetrahedron

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