Minimum principles, convexity, and thermodynamics in viscoelasticity

DOI10.1007/BF01171379zbMath0762.73027MaRDI QIDQ1204010

Mauro Fabrizio, Claudio Giorgi, Angelo Morro

Publication date: 18 February 1993

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

zbMATH Keywords

Laplace transformweight functionmixed problembilinear functionalthermodynamic restrictionslinear viscoelastic solid

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (12)

A stability condition for an extensive class of viscoelastic motions ⋮ Variational principle for entropy in electrochemical transport phenomena ⋮ On the notion of fractional derivative and applications to the hysteresis phenomena ⋮ Asymptotic to systems with memory and non-local initial data ⋮ Minimum problems in the dynamics of viscous fluids with memory ⋮ Extremum principles for viscoelastic fluids ⋮ Viscoelastic solids with unbounded relaxation function ⋮ New variational principles in quasi-static viscoelasticity ⋮ A new approach to equations with memory ⋮ A priori and a posteriori error analyses in the study of viscoelastic problems ⋮ A nonlinear viscoelastic model: The pseudo-linear model ⋮ Variational principles for electromagnetic systems with memory

Cites Work

• Unnamed Item
• Viscoelastic relaxation functions compatible with thermodynamics
• Minimum principles for linear elastodynamics
• Extremum principles for linear initial-value problems of mathematical physics
• On some properties of Effros Borel structure on spaces of closed subsets
• On uniqueness in linear viscoelasticity: a family of counterexamples
• An existence and uniqueness theorem in quasi-static viscoelasticity
• On dissipation inequalities and linear viscoelasticity
• A Principle of Minimum Transformed Energy in Linear Elastodynamics
• Problèmes aux limites en théorie des distributions

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