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Bibliografie

Journal Article

A Phase-Field Approach to Eulerian Interfacial Energies

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

: Archive for Rational Mechanics and Analysis vol.234, 1 (2019), p. 351-373

: GF16-34894L, GA ČR, GA18-03834S, GA ČR

: phase field model, shape memory alloys, Lagrangean and Eulerian description

: 10.1007/s00205-019-01391-8

: http://library.utia.cas.cz/separaty/2019/MTR/kruzik-0504366.pdf

: https://link.springer.com/article/10.1007%2Fs00205-019-01391-8

(eng): We analyze a phase-field approximation of a sharp-interface model for two-phase materials proposed by Šilhavý (in: Hackl (ed) IUTAM symposium on variational concepts with applications to the mechanics of materials, pp 233–244, Springer, Dordrecht, 2010. J Elast 105:271–303, 2011). The distinguishing trait of the model resides in the fact that the interfacial term is Eulerian in nature, for it is defined on the deformed configuration. We discuss a functional frame allowing for the existence of phase-field minimizers and Γ -convergence to the sharp-interface limit. As a by-product, we provide additional detail on the admissible sharp-interface configurations with respect to the analysis in Šilhavý (2010, 2011).

: BA

: 10101

07.01.2019 - 08:39