A monolithic hybrid finite element strategy for nonlinear thermoelasticity

DOI10.1002/nme.5500zbMath1548.74821MaRDI QIDQ6557434

G. S. J. Gautam, Chandrashekhar Jog

Publication date: 18 June 2024

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

zbMATH Keywords

thermoelastic dampingnonlinear thermoelasticityhybrid elementsrubber-type materials

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 initial value and initial-boundary value problems involving PDEs (65M60) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (2)

Stress-hybrid virtual element method on quadrilateral meshes for compressible and nearly-incompressible linear elasticity ⋮ A monolithic arbitrary Lagrangian-Eulerian-based finite element strategy for fluid-structure interaction problems involving a compressible fluid

Cites Work

• Unnamed Item
• Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: part I: Monolithic integrators and their application to finite strain thermoelasticity
• Thermally induced vibrations of beam structures
• On the natural formulation and analysis of large deformation coupled thermomechanical problems
• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Invariant tensor-to-matrix mappings for evaluation of tensorial expressions
• Entropy elasticity of isotropic rubber-like solids at finite strains
• Consistent thermal stress calculation by using a new approach of the enhanced assumed strain method
• On the development of thermodynamically consistent algorithms for thermomechanical frictional contact
• Energy‐momentum consistent algorithms for dynamic thermomechanical problems—Application to mortar domain decomposition problems
• Consistent thermal stress evaluation in finite elements
• Rational approach for assumed stress finite elements
• A finite element formulation for thermoelastic damping analysis
• Relations between incompatible displacement model and hybrid stress model
• Thermo-mechanics of rubberlike materials
• Non-linear analysis of structures using high performance hybrid elements
• On the consistency of finite element models in thermoelastic analysis.

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