Quasi‐Linear Thermoelasticity System Arising in Shape Memory Materials

DOI10.1137/060653159zbMath1131.35083OpenAlexW2075009062MaRDI QIDQ5426926

Irena Pawłow, Shuji Yoshikawa, Wojciech M. Zajączkowski

Publication date: 16 November 2007

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

Full work available at URL: https://doi.org/10.1137/060653159

zbMATH Keywords

existenceuniquenessshape memory alloysmaximal regularitymartensitic phase transitionsFalk model

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05)

Related Items (7)

Magnetic shape-memory alloys: thermomechanical modelling and analysis ⋮ A Preisach type model for temperature driven hysteresis memory erasure in shape memory materials ⋮ Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials ⋮ The Souza-Auricchio model for shape-memory alloys ⋮ Maximal regularity for non-autonomous equations with measurable dependence on time ⋮ Well-posedness of a thermo-mechanical model for shape memory alloys under tension ⋮ Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires

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