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Description
  • Viscoelastic solids in Kelvin-Voigt rheology at small strains exhibiting also stress-driven Prandtl-Reuss perfect plasticity are considered quasistatic (i.e. inertia neglected) and coupled with heat-transfer equation through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Enthalpy transformation is used and existence of a weak solution is proved by an implicit suitably regularized time discretisation.
  • Viscoelastic solids in Kelvin-Voigt rheology at small strains exhibiting also stress-driven Prandtl-Reuss perfect plasticity are considered quasistatic (i.e. inertia neglected) and coupled with heat-transfer equation through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Enthalpy transformation is used and existence of a weak solution is proved by an implicit suitably regularized time discretisation. (en)
Title
  • Thermodynamics of perfect plasticity
  • Thermodynamics of perfect plasticity (en)
skos:prefLabel
  • Thermodynamics of perfect plasticity
  • Thermodynamics of perfect plasticity (en)
skos:notation
  • RIV/00216208:11320/13:10172809!RIV14-GA0-11320___
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  • I, P(GA201/09/0917), P(GAP201/10/0357), P(IAA100750802), P(LC06052)
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  • 1
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  • 110953
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  • RIV/00216208:11320/13:10172809
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  • bounded-deformation-valued solution.; adiabatic effects; thermal expansion; thermodynamics; Kelvin-Voigt rheology; small strains; Prandtl-Reuss plasticity (en)
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  • US - Spojené státy americké
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  • [6AFB17092942]
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  • Discrete and Continuous Dynamical Systems - Series S
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  • 6
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  • Roubíček, Tomáš
issn
  • 1937-1632
number of pages
http://bibframe.org/vocab/doi
  • 10.3934/dcdss.2013.6.193
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  • 11320
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