On thermodynamics and elastic-plastic materials

DOI10.1007/BF00281515zbMath0332.73003OpenAlexW2036960290MaRDI QIDQ1228222

Bernard D. Coleman, David R. Owen

Publication date: 1975

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281515

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20)

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Cites Work

• Unnamed Item
• Unnamed Item
• A new mathematical theory of simple materials
• The thermodynamics of elastic materials with heat conduction and viscosity
• A mathematical foundation for thermodynamics
• On thermodynamics, strain impulses, and viscoelasticity
• Stress relaxation and the principle of fading memory
• Norms and semi-groups in the theory of fading memory
• On the general theory of fading memory
• On the time derivatives of equilibrated response functions
• A theory of thermodynamics for materials with memory
• Thermodynamics and departures from Fourier's law of heat conduction
• On the thermodynamics of materials with memory