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Bibliography

Journal Article

Equilibrium for Multiphase Solids with Eulerian Interfaces

Grandi D., Kružík Martin, Mainini E., Stefanelli U.

: Journal of Elasticity vol.142, 1 (2020), p. 409-431

: 8J19AT013, GA MŠk, GF19-29646L, GA ČR

: phase transition, phase field

: 10.1007/s10659-020-09800-w

: http://library.utia.cas.cz/separaty/2020/MTR/kruzik-0538564.pdf

: https://link.springer.com/article/10.1007/s10659-020-09800-w

(eng): We describe a general phase-field model for hyperelastic multiphase materials. The model features an elastic energy functional that depends on the phase-field variable and a surface energy term that depends in turn on the elastic deformation, as it measures interfaces in the deformed configuration. We prove existence of energy minimizing equilibrium states and Gamma-convergence of diffuse-interface approximations to the sharp-interface limit.

: BA

: 10101