Surface penalization of self-interpenetration in linear and nonlinear elasticity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00575785" target="_blank" >RIV/67985556:_____/23:00575785 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/23:00369696
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0307904X23002731?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0307904X23002731?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apm.2023.06.018" target="_blank" >10.1016/j.apm.2023.06.018</a>
Alternative languages
Result language
angličtina
Original language name
Surface penalization of self-interpenetration in linear and nonlinear elasticity
Original language description
We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Nečas condition (almost everywhere global invertibility of deformations). For a linear elastic energy subject to an additional local invertibility constraint, we prove that the penalized elastic functionals converge to the original functional subject to the Ciarlet-Nečas condition. The approach also works for nonlinear models of non-simple materials including a suitable higher order term in the elastic energy, without artificial local constraints. Numerical experiments illustrate our results for a self-contact problem in 3d.
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
<a href="/en/project/GF21-06569K" target="_blank" >GF21-06569K: Scales and shapes in continuum thermomechanics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematical Modelling
ISSN
0307-904X
e-ISSN
1872-8480
Volume of the periodical
122
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
24
Pages from-to
641-664
UT code for WoS article
001163618200001
EID of the result in the Scopus database
2-s2.0-85163035626