Homogenization of scalar wave equations with hysteresis

DOI10.1007/s001610050118zbMath0955.74052OpenAlexW2066657712MaRDI QIDQ1976243

Pavel Krejči, Franců, Jan

Publication date: 24 July 2000

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001610050118

zbMATH Keywords

hysteresisregularityconvergenceexistenceinitial-boundary value problemuniquenesshomogenizationPrandtl-Ishlinskii operatornonlinear scalar wave equationlongitudinal vibrations of elastoplastic rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (11)

Problems with uncertain hysteresis operators and homogenization ⋮ Homogenization of the Prager model in one-dimensional plasticity ⋮ Homogenization of nonlinear parabolic equations with hysteresis ⋮ Outwards pointing hysteresis operators and asymptotic behaviour of evolution equations. ⋮ Well-posedness and long-time behaviour for a nonlinear parabolic equation with hysteresis ⋮ Existence and uniqueness of global weak solutions to the equations describing the longitudinal oscillations of a viscoelastoplastic Ishlinskii material ⋮ Global unique solvability of the longitudinal vibration equations of the Ishlinskii viscoelastoplastic material ⋮ Homogenization of the nonlinear Kelvin-Voigt model of viscoelasticity and of the Prager model of plasticity ⋮ Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations ⋮ Error estimates for the discrete inversion of hysteresis and creep operators ⋮ Homogenization of heat equation with hysteresis

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