A Phase-Field Approach to Eulerian Interfacial Energies
Result description
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).
Keywords
phase field modelshape memory alloysLagrangean and Eulerian description
The result's identifiers
Result code in IS VaVaI
Result on the web
https://link.springer.com/article/10.1007%2Fs00205-019-01391-8
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
A Phase-Field Approach to Eulerian Interfacial Energies
Original language description
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).
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive for Rational Mechanics and Analysis
ISSN
0003-9527
e-ISSN
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Volume of the periodical
234
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
23
Pages from-to
351-373
UT code for WoS article
000475701000008
EID of the result in the Scopus database
2-s2.0-85065144275
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Pure mathematics
Year of implementation
2019