New variational principles in quasi-static viscoelasticity

DOI10.1007/BF00043446zbMath0765.73076MaRDI QIDQ1205204

Alfredo Marzocchi, Claudio Giorgi

Publication date: 1 April 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

Fourier transformweight functionlinear viscoelasticitylinear evolution problemsthermodynamic restrictionsconvolution-type functionalssaddle point principle

Mathematics Subject Classification ID

Optimization of other properties in solid mechanics (74P10) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Dynamical problems in solid mechanics (74Hxx)

Related Items

Variational principles for electromagnetic systems with memory

Cites Work

• Minimum problems in the dynamics of viscous fluids with memory
• Viscoelastic relaxation functions compatible with thermodynamics
• Minimum principles, convexity, and thermodynamics in viscoelasticity
• Minimum principles for linear elastodynamics
• Extremum principles for linear initial-value problems of mathematical physics
• On uniqueness in linear viscoelasticity: a family of counterexamples
• Extensions of derivations II.
• An existence and uniqueness theorem in quasi-static viscoelasticity