Phase transitions with interfacial energy: convexity conditions and the existence of minimizers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00349641" target="_blank" >RIV/67985840:_____/10:00349641 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Phase transitions with interfacial energy: convexity conditions and the existence of minimizers
Original language description
The article presents a variational theory of sharp phase interfaces bearing a deformation dependent energy. The theory involves both the standard and Eshelby stresses. The constitutive theory is outlined including the symmetry considerations and some particular cases. The existence of phase equilibria is proved based on appropriate convexity properties of the interfacial energy. Some generalization of the convexity properties is given and a relationship established to the semiellipticity condition fromthe theory of parametric integrals over rectifiable currents.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
ISBN
978-3-7091-0173-5
ISSN
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e-ISSN
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Number of pages
64
Pages from-to
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Publisher name
Springer
Place of publication
Wien
Event location
Udine
Event date
Sep 24, 2007
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000282103600006