Anti-plane stress state of a plate with a V-notch for a new class of elastic solids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10140155" target="_blank" >RIV/00216208:11320/13:10140155 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10704-012-9772-5" target="_blank" >http://dx.doi.org/10.1007/s10704-012-9772-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10704-012-9772-5" target="_blank" >10.1007/s10704-012-9772-5</a>

Result language
angličtina
Original language name
Anti-plane stress state of a plate with a V-notch for a new class of elastic solids
Original language description
The main purpose of this study is to investigate the efficacy and usefulness of a class of recently proposed models that could be reasonable candidates for describing the response of brittle elastic materials. The class of models that are considered allows for a non-linear relationship between the linearized elastic strain and the Cauchy stress, and this allows one to describe situations wherein the stress increases while the strain yet remains small. Thus one would be in a position to model the response of brittle elastic bodies in the neighborhood of the tips of cracks and notches. In this paper we study the behavior of such models in a plate with a V-notch subject to a state of anti-plane stress. This geometrical simplification enables us to characterize the governing equation for the problem by means of the Airy stress function, though the constitutive relation is a non-linear relation between the linearized strain and the stress. We study the problem numerically by appealing to th
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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