Phase-Field Models with Hysteresis in One-Dimensional Thermoviscoplasticity

DOI10.1137/S0036141001387604zbMath1034.34053OpenAlexW2074307630MaRDI QIDQ4785740

Pavel Krejči, Ulisse Stefanelli, Juergen Sprekels

Publication date: 5 January 2003

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141001387604

zbMATH Keywords

phase transitionsthermodynamic consistencyhysteresis operatorsthermoviscoplasticityphase-field systems1D IBVP

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stefan problems, phase changes, etc. (80A22) Strings (74K05) Problems involving hysteresis in solids (74N30) Hysteresis for ordinary differential equations (34C55) Equations with nonlinear hysteresis operators (47J40)

Related Items (11)

Existence results for a coupled viscoplastic-damage model in thermoviscoelasticity ⋮ Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. ⋮ Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity. ⋮ Optimal control of a population dynamics model with hysteresis ⋮ From visco to perfect plasticity in thermoviscoelastic materials ⋮ Unsaturated deformable porous media flow with thermal phase transition ⋮ Structure-preserving finite difference scheme for 1D thermoviscoelastoplastic equations under uniformly distributed temperature ⋮ Symmetric periodic solutions of parabolic problems with discontinuous hysteresis ⋮ A control problem in phase transition modeling ⋮ Solutions of an advected phase field system with low regularity velocity ⋮ Pavel Krejčí turns sixty and receives the Bernard Bolzano honorary medal for merit in mathematical sciences.

This page was built for publication: Phase-Field Models with Hysteresis in One-Dimensional Thermoviscoplasticity