Thermomechanical coupling at finite elastic strain: covariant formulation and numerical implementation

DOI10.1002/cnm.405zbMath1002.74094OpenAlexW2096158489MaRDI QIDQ2721531

Lotfi Chorfi, Fadi Gharzeddine, Adnan Ibrahimbegović

Publication date: 2001

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.405

zbMATH Keywords

manifoldfinite element methodcovariant formulation4-node axisymmetric finite elementfinite strain thermoelasticityHill's principal axis methodology

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05)

Related Items (11)

Variational time integrators for finite-dimensional thermo-elasto-dynamics without heat conduction ⋮ Accelerated staggered coupling schemes for problems of thermoelasticity at finite strains ⋮ Softening behavior of quasi-brittle material under full thermo-mechanical coupling condition: theoretical formulation and finite element implementation ⋮ Galerkin-based energy-momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics ⋮ A finite element framework for continua with boundary energies. III: The thermomechanical case ⋮ Thermoelasticity at finite strains with weak and strong discontinuities ⋮ Application of the material force method to thermo-hyperelasticity ⋮ Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves ⋮ Partitioned symmetric formulation and solution algorithm of thermoelastic interaction problems ⋮ A geometric theory of thermal stresses ⋮ Thermomechanical coupling in folded plates and non-smooth shells

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