Nonlinear elasticity with vanishing nonlocal self-repulsion
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F25%3A00579645" target="_blank" >RIV/67985556:_____/25:00579645 - isvavai.cz</a>
Result on the web
<a href="https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/nonlinear-elasticity-with-vanishing-nonlocal-selfrepulsion/D03EAE49B0E7654D462B27DDC625C8F5" target="_blank" >https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/nonlinear-elasticity-with-vanishing-nonlocal-selfrepulsion/D03EAE49B0E7654D462B27DDC625C8F5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/prm.2023.101" target="_blank" >10.1017/prm.2023.101</a>
Alternative languages
Result language
angličtina
Original language name
Nonlinear elasticity with vanishing nonlocal self-repulsion
Original language description
We prove that for nonlinear elastic energies with strong enough energetic control of the outer distortion of admissible deformations, almost everywhere global invertibility as constraint can be obtained in the Γ -limit of the elastic energy with an added nonlocal self-repulsion term with asymptocially vanishing coefficient. The self-repulsion term considered here formally coincides with a Sobolev–Slobodeckiĭ seminorm of the inverse deformation. Variants near the boundary or on the surface of the domain are also studied.n
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
—
OECD FORD branch
10102 - Applied 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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the Royal Society of Edinburgh. A - Mathematics
ISSN
0308-2105
e-ISSN
1473-7124
Volume of the periodical
155
Issue of the periodical within the volume
2
Country of publishing house
GB - UNITED KINGDOM
Number of pages
18
Pages from-to
496-513
UT code for WoS article
001074740400001
EID of the result in the Scopus database
2-s2.0-85173461556