Quasistatic evolution for a phase-transition model: a Young measure approach

DOI10.1002/gamm.201110020zbMath1278.74136OpenAlexW2092836531MaRDI QIDQ2890605

Alice Fiaschi

Publication date: 11 June 2012

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201110020

zbMATH Keywords

regularityexistencenonconvex energy densityrate-independent process

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi
• Globally stable quasistatic evolution in plasticity with softening
• On rate-independent hysteresis models
• Rate-independent phase transitions in elastic materials: a Young-measure approach
• A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies
• Existence results for a class of rate-independent material models with nonconvex elastic energies