Stability of the steady state for the Falk model system of shape memory alloys

DOI10.1002/MMA.889zbMath1137.35075OpenAlexW2022387152MaRDI QIDQ5444909

Takashi Suzuki, Shuji Yoshikawa

Publication date: 26 February 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.889

zbMATH Keywords

stabilityLyapunov functionelasticityphase transitioncritical pointshape memory alloyFalk model

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Problems involving hysteresis in solids (74N30)

Related Items (7)

Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative ⋮ Stability and spectral comparison of a reaction-diffusion system with mass conservation ⋮ Structure-preserving finite difference scheme for 1D thermoviscoelastoplastic equations under uniformly distributed temperature ⋮ Stationary solutions to the Falk system on shape memory alloys ⋮ Global dynamics of a reaction-diffusion system with mass conservation ⋮ A conservative finite difference scheme for the Falk model system of shape memory alloys ⋮ Stationary Fix-Caginalp equation with non-local term

Cites Work

• Unnamed Item
• Free energy and self-interacting particles
• Mean field theories and dual variation
• Hysteresis and phase transitions
• Existence and uniqueness of solutions for a three-dimensional thermoelastic system

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