Equilibrium of phases with interfacial energy : a variational approach

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00360209" target="_blank" >RIV/67985840:_____/11:00360209 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10659-011-9341-6" target="_blank" >http://dx.doi.org/10.1007/s10659-011-9341-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10659-011-9341-6" target="_blank" >10.1007/s10659-011-9341-6</a>

Result language
angličtina
Original language name
Equilibrium of phases with interfacial energy : a variational approach
Original language description
The paper proves the existence of equilibrium two phase states with elastic solid bulk phases and deformation dependent interfacial energy. The states are pairs consisting of the deformation on the body and the region occupied by one of the phases in thereference configuration. The bulk energies of the two phases are polyconvex functions representing two wells of the substance. The interfacial energy is interface polyconvex. The last notion is introduced and discussed, together with the interface quasiconvexity and interface null lagarangians. The constitutive theory and equilibrium theory of the interface are discussed in detail under appropriate smoothness hypotheses. Various forms of the interfacial stress relations for the standard and configurational (Eshelby) interfacial stresses are established. The equilibrium equations are derived by a variational argument emphasizing the roles of outer and inner variations.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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