Analysis and approximation of a strain-limiting nonlinear elastic model

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314004" target="_blank" >RIV/00216208:11320/15:10314004 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1177/1081286514543601" target="_blank" >http://dx.doi.org/10.1177/1081286514543601</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/1081286514543601" target="_blank" >10.1177/1081286514543601</a>

Result language

angličtina

Original language name

Analysis and approximation of a strain-limiting nonlinear elastic model

Original language description

Elastic solids with strain-limiting response to external loading represent an interesting class of material models, capable of describing stress concentration at strains with small magnitude. A theoretical justification of this class of models comes naturally from implicit constitutive theory. We investigate mathematical properties of static deformations for such strain-limiting nonlinear models. Focusing on the spatially periodic setting, we obtain results concerning existence, uniqueness and regularity of weak solutions, and existence of renormalized solutions for the full range of the positive scalar parameter featuring in the model. These solutions are constructed via a Fourier spectral method. We formulate a sufficient condition for ensuring thata renormalized solution is in fact a weak solution, and we comment on the extension of the analysis to nonperiodic boundary-value problems.

Czech name

—

Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics and Mechanics of Solids

ISSN

1081-2865

e-ISSN

—

Volume of the periodical

20

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

27

Pages from-to

92-118

UT code for WoS article

000346175900007

EID of the result in the Scopus database

2-s2.0-84918587442