Kinematics and kinetics modeling of thermoelastic continua based on the multiplicative decomposition of the deformation gradient

DOI10.1016/J.IJENGSCI.2012.07.001zbMath1423.74011OpenAlexW1976371181MaRDI QIDQ1796412

H. Darijani, R. Naghdabadi

Publication date: 17 October 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2012.07.001

zbMATH Keywords

strain measuresmaterial parametersnonisothermal deformationmechanical and thermal strainsstate functions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) Kinematics of deformation (74A05)

Related Items (8)

Conjugated kinetic and kinematic measures for constitutive modeling of the thermoelastic continua ⋮ Nonlinear coupled thermo-hyperelasticity analysis of thermal and mechanical wave propagation in a finite domain ⋮ Level-set topology optimization considering nonlinear thermoelasticity ⋮ Investigation of thermoelastic compliances considering Finite strain ⋮ Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress ⋮ Basis-free expressions for families of objective strain tensors, their rates, and conjugate stress tensors ⋮ Thermodynamic properties and thermoelastic constitutive relation for cubic crystal structures based on improved free energy ⋮ Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill's linear isotropic hyperelastic material models

Cites Work

• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Hyperelastic materials behavior modeling using consistent strain energy density functions
• On constitutive inequalities for simple materials. I
• On thermodynamic potentials in linear thermoelasticity
• Aspects of Invariance in Solid Mechanics
• The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
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