A Characterization of Internally Constrained Thermoelastic Materials

DOI10.1177/108128659800300105zbMath1001.74552OpenAlexW2146536035MaRDI QIDQ4528163

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Publication date: 19 December 2002

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/108128659800300105

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99)

Related Items (15)

Internally Constrained Mixtures of Elastic Continua ⋮ On the Gibbs conditions of stable equilibrium, convexity and the second-order variations of thermodynamic potentials in nonlinear thermoelasticity ⋮ Stability in constrained temperature-rate-dependent thermoelasticity ⋮ A Cosserat-type model for the red blood cell wall ⋮ The ideal pseudo-rigid continuum ⋮ Nonlinear thermoelastic materials with viscosity, and subject to internal constraints: a classical continuum thermodynamics approach ⋮ Investigation of simplified thermal expansion models for compressible Newtonian fluids applied to nonisothermal plane Couette and Poiseuille flows ⋮ A fast finite difference method for a continuous static linear bond-based peridynamics model of mechanics ⋮ A treatment of internally constrained elastic-plastic materials ⋮ A mixture of elastic materials with different constituent temperatures and internal constraints ⋮ A thermodynamic definition of pressure for incompressible viscous fluids ⋮ Wave Stability for Constrained Materials in Anisotropic Generalized Thermoelasticity ⋮ Weak shock waves and shear bands in compressible, inextensible thermoelastic solids ⋮ Single and multiple material constraints in thermoelasticity ⋮ Volumetric Growth of Thermoelastic Materials and Mixtures

Cites Work

• Unnamed Item
• The thermodynamics of elastic materials with heat conduction and viscosity
• The principle of rigidification
• Connections between deformation-temperature and deformation-entropy constraints and near-constraints in thermoelasticity
• On hyperelasticity with internal constraints
• Thermodynamics of a continuum with internal constraints
• Reinforced materials with thermomechanical constraints
• The thermodynamics of constrained materials
• LINEAR DYNAMICAL STABILITY IN CONSTRAINED THERMOELASTICITY I. DEFORMATION-TEMPERATURE CONSTRAINTS
• LINEAR DYNAMICAL STABILITY IN CONSTRAINED THERMOELASTICITY II. DEFORMATION-ENTROPY CONSTRAINTS
• A Treatment of Internally Constrained Materials

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