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On rate-type viscoelasticity and the second law of thermodynamics

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Publication:759516
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DOI10.1016/0020-7462(84)90050-7zbMath0553.73027OpenAlexW2041482014MaRDI QIDQ759516

D. Kharzeev

Publication date: 1984

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(84)90050-7


zbMATH Keywords

existencesecond law of thermodynamicsuniquenesstotal energyenergy functionisolatedequilibrium is approachedlinear equilibrium hypersurfacelinear instantaneous responseMaxwell type viscoelastic approach to nonlinear elasticitynorm on the space of reference configurationssmooth motionsmooth stressingSufficient condition for convexity and positivenessthree-dimensional rate-type viscoelastic body


Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20) Dynamical problems in solid mechanics (74Hxx)


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Convex and non-convex energy in three-dimensional rate-type semilinear viscoelasticity ⋮ Energy estimates in three-dimensional rate-type semilinear viscoelasticity with non-convex free energy ⋮ On the thermodynamics of rate-type fluids and phase transitions. I: Rate-type fluids



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