A Phase-Field Approach to Eulerian Interfacial Energies
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00504366" target="_blank" >RIV/67985556:_____/19:00504366 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00205-019-01391-8" target="_blank" >https://link.springer.com/article/10.1007%2Fs00205-019-01391-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00205-019-01391-8" target="_blank" >10.1007/s00205-019-01391-8</a>
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
J<sub>imp</sub> - 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