The effect of a penalty term involving higher order derivatives on the distribution of phases in an elastic medium with a two‐well elastic potential

DOI10.22028/D291-26184zbMath1032.49018OpenAlexW2117981255MaRDI QIDQ4539434

Michael Bildhauer, Fuchs, Martin, Viktor G. Osmolovskii

Publication date: 8 July 2002

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

Full work available at URL: https://doi.org/10.1002/mma.287

zbMATH Keywords

regularizationphase transitionequilibrium stateselastic materials

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Regularity of solutions of equilibrium problems in solid mechanics (74G40)

Related Items (1)

Mathematical problems of the theory of phase transitions in continuum mechanics

Cites Work

• The relaxation of a double-well energy
• The formulation and an existence theorem for a variational problem on phase transitions in continuous medium mechanics
• Surface energy and microstructure in coherent phase transitions
• Direct methods in the calculus of variations

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