Compatible-strain mixed finite element methods for incompressible nonlinear elasticity
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Publication:1637563
DOI10.1016/j.jcp.2018.01.053zbMath1390.74177OpenAlexW2790832337MaRDI QIDQ1637563
Mostafa Faghih Shojaei, Arash Yavari
Publication date: 8 June 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.01.053
mixed finite element methodsnonlinear elasticityfinite element exterior calculusincompressible elasticityHilbert complex
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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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 3D compressible and incompressible nonlinear elasticity ⋮ Nonlinear mechanics of thermoelastic accretion ⋮ 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 ⋮ Intrinsic nonlinear elasticity: an exterior calculus formulation ⋮ Large elastic deformation of micromorphic shells. Part II. Isogeometric analysis ⋮ Applications of Algebraic Topology in Elasticity ⋮ Three-field mixed finite element methods for nonlinear elasticity ⋮ Nonlinear higher-order shell theory for incompressible biological hyperelastic materials
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