Spherical inflation for a class of compressible thermoelastic materials

DOI10.1177/1081286510387864zbMath1269.74062OpenAlexW2318106333MaRDI QIDQ2842427

Francis J. Rooney, Stephen E. Bechtel

Publication date: 14 August 2013

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

Full work available at URL: https://doi.org/10.1177/1081286510387864

zbMATH Keywords

exact solutionsfinite thermoelasticityinstablitydensity a function of entropythermomechanical constraints

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05)

Cites Work

• The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
• Finite strain solutions in compressible isotropic elasticity
• Finite deformations of elastic materials surrounding cylindrical holes
• Constraints, constitutive limits, and instability in finite thermoelasticity
• Plane strain problems for a perfectly elastic material of harmonic type
• Inflation and Bifurcation of Thick-Walled Compressible Elastic Spherical Shells
• Finite plane strain problems for compressible elastic solids: General solution and volume changes
• SOLUTION OF SOME FINITE PLANE-STRAIN PROBLEMS FOR COMPRESSIBLE ELASTIC SOLIDS
• LINEAR DYNAMICAL STABILITY IN CONSTRAINED THERMOELASTICITY I. DEFORMATION-TEMPERATURE CONSTRAINTS
• Invariants of the Stretch Tensors and their Application to Finite Elasticity Theory

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