Global injectivity in second-gradient Nonlinear Elasticity and its approximation with penalty terms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00508975" target="_blank" >RIV/67985556:_____/19:00508975 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12310/19:43899339
Result on the web
<a href="https://journals.sagepub.com/doi/10.1177/1081286519851554" target="_blank" >https://journals.sagepub.com/doi/10.1177/1081286519851554</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1177/1081286519851554" target="_blank" >10.1177/1081286519851554</a>
Alternative languages
Result language
angličtina
Original language name
Global injectivity in second-gradient Nonlinear Elasticity and its approximation with penalty terms
Original language description
We present a new penalty term approximating the Ciarlet-Nečas condition (global invertibility of deformations) as a soft constraint for hyperelastic materials. For non-simple materials including a suitable higher order term in the elastic energy, we prove that the penalized functionals converge to the original functional subject to the Ciarlet-Nečas condition. Moreover, the penalization can be chosen in such a way that for all low energy deformations, self-interpenetration is completely avoided already at all sufficiently small finite values of the penalization parameter. We also present numerical experiments in 2d illustrating our theoretical results.
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
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA18-03834S" target="_blank" >GA18-03834S: Localization phenomena in shape memory alloys: experiments & modeling</a><br>
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
Mathematics and Mechanics of Solids
ISSN
1081-2865
e-ISSN
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Volume of the periodical
24
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
37
Pages from-to
3644-3673
UT code for WoS article
000486834200016
EID of the result in the Scopus database
2-s2.0-85067794662