High-order FEMs for thermo-hyperelasticity at finite strains

DOI10.1016/j.camwa.2013.11.003zbMath1381.74216OpenAlexW2004629043MaRDI QIDQ316509

Danny Weiss, Zohar Yosibash, Stefan Hartmann

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.11.003

zbMATH Keywords

\(p\)-FEMcoupled FEMmonolithic schemethermo-hyperelasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Analytical and numerical treatment of electro-thermo-mechanical coupling ⋮ Nonlinear coupled thermo-hyperelasticity analysis of thermal and mechanical wave propagation in a finite domain ⋮ Numerical Investigation of High-Order Solid Finite Elements for Anisotropic Finite Strain Problems ⋮ A monolithic finite element approach using high-order schemes in time and space applied to finite strain thermo-viscoelasticity ⋮ Uncertainty quantification for a 1D thermo-hyperelastic coupled problem using polynomial chaos projection and \(p\)-FEMs ⋮ A Class of Novel Tetrahedron Elements with Curved Surfaces for Three-Dimensional Solid Mechanics Problems with Curved Boundaries

Cites Work

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• Accelerated staggered coupling schemes for problems of thermoelasticity at finite strains
• Axisymmetric pressure boundary loading for finite deformation analysis using p-FEM
• Decomposition of deformation and representation of the free energy function for isotropic thermoelastic solids
• Convexity conditions and existence theorems in nonlinear elasticity
• The simple tension problem at large volumetric strains computed from finite hyperelastic material laws
• Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility.
• \(p\)-FEM applied to finite isotropic hyperelastic bodies.
• p -FEMs for hyperelastic anisotropic nearly incompressible materials under finite deformations with applications to arteries simulation
• A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
• High‐order finite elements compared to low‐order mixed element formulations
• On volumetric locking‐free behaviour of p‐version finite elements under finite deformations

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