The energy in one-dimensional rate-type semilinear viscoelasticity

DOI10.1016/0020-7683(87)90066-7zbMath0653.73018OpenAlexW2020870372MaRDI QIDQ1108112

Cristian Făciu, Mihaela Mihǎilescu-Suliciu

Publication date: 1987

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(87)90066-7

zbMATH Keywords

stabilityexistencesecond law of thermodynamicsquenchinguniqueannealingfunction of strain and stressiron-like behaviourL(sup 2)-approach to equilibriumproperties of a free energy functionuniaxial standard test

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Theory of constitutive functions in solid mechanics (74A20) Dynamical problems in solid mechanics (74Hxx)

Related Items (12)

Energy estimates in one-dimensional rate-type viscoplasticity ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I ⋮ A nonlocal rate-type viscoplastic approach to patterning of deformation ⋮ Convergence of relaxation schemes to the equations of elastodynamics ⋮ Construction of boundary conditions for hyperbolic relaxation approximations I: The linearized Suliciu model ⋮ Convex and non-convex energy in three-dimensional rate-type semilinear viscoelasticity ⋮ Some stability-instability problems in phase transitions modelled by piecewise linear elastic or viscoelastic constitutive equations ⋮ Energy estimates in three-dimensional rate-type semilinear viscoelasticity with non-convex free energy ⋮ Numerical aspects in modelling phase transitions by rate-type constitutive equations ⋮ On the thermodynamics of rate-type fluids and phase transitions. II: Phase transitions ⋮ Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics ⋮ A thermodynamic approach to rate-type models of elastic-plastic materials

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