The general form of the relaxation of a purely interfacial energy for structured deformations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00476040" target="_blank" >RIV/67985840:_____/17:00476040 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.2140/memocs.2017.5.191" target="_blank" >http://dx.doi.org/10.2140/memocs.2017.5.191</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2140/memocs.2017.5.191" target="_blank" >10.2140/memocs.2017.5.191</a>

Result language
angličtina
Original language name
The general form of the relaxation of a purely interfacial energy for structured deformations
Original language description
This paper deals with the relaxation of energies of media with structured deformations introduced by Del Piero and Owen (1993, 1995). Structured deformations provide a multiscale geometry that captures the contributions at the macrolevel of both smooth and nonsmooth geometrical changes (disarrangements) at submacroscopic levels. The paper examines the special case of Choksi and Fonseca’s (1997) energetics of structured deformations in which the unrelaxed energy does not contain the bulk contribution. Thus, the energy is purely interfacial but of a general form. New formulas for the relaxed bulk and interfacial energies are proved. The bulk relaxed energy is shown to coincide with the subadditive envelope of the unrelaxed interfacial energy while the relaxed interfacial energy is the restriction of the envelope to rank-1 tensors.
Czech name
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Czech description
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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
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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