Weak solutions for Falk's model of shape memory alloys

DOI<299::AID-MMA115>3.0.CO;2-D 10.1002/(SICI)1099-1476(20000310)23:4<299::AID-MMA115>3.0.CO;2-DzbMath0989.74053OpenAlexW1997047062MaRDI QIDQ4949165

Toyohiko Aiki

Publication date: 14 December 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(20000310)23:4<299::aid-mma115>3.0.co;2-d

zbMATH Keywords

uniquenessweak solutionsshape memory alloysfree energy functiondynamics of phase transitionsapproximate dual equationsfourth derivativeone-dimensional Falk model

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Stefan problems, phase changes, etc. (80A22) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items

Existence and uniqueness of weak solutions for the model representing motions of curves made of elastic materials, Stationary solutions to the Falk system on shape memory alloys, Thermodynamics of shape-memory alloys under electric current, A macro-micro elasticity-diffusion system modeling absorption-induced swelling in rubber foams: Proof of the strong solvability

Cites Work

• Hysteresis and phase transitions