Energy estimates in three-dimensional rate-type semilinear viscoelasticity with non-convex free energy

DOI10.1016/0020-7225(91)90114-IzbMath0761.73045OpenAlexW2157171140MaRDI QIDQ1195515

Cristian Făciu

Publication date: 14 December 1992

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(91)90114-i

zbMATH Keywords

thermodynamicsphase transitionsgeomaterialsL(2)-approachMaxwell's type viscositymixed hyperbolic-elliptic systemnon-monotone equilibrium hypersurfacesnon-monotone hyperelasticitypost-failure behaviour

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Dynamical problems in solid mechanics (74Hxx)

Cites Work

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• Some energetic properties of smooth solutions in rate-type viscoelasticity
• On rate-type viscoelasticity and the second law of thermodynamics
• Energy estimates in one-dimensional rate-type viscoplasticity
• The energy in one-dimensional rate-type semilinear viscoelasticity
• On rate-type constitutive equations and the energy of viscoelastic and viscoplastic materials
• Convex and non-convex energy in three-dimensional rate-type semilinear viscoelasticity
• On modelling phase transitions by means of rate-type constitutive equations. Shock wave structure

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