Bounds on the elastic threshold for problems of dissipative strain-gradient plasticity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F20%3A00534325" target="_blank" >RIV/68145535:_____/20:00534325 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/abs/pii/S0022509620303239" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0022509620303239</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmps.2020.104089" target="_blank" >10.1016/j.jmps.2020.104089</a>

Result language
angličtina
Original language name
Bounds on the elastic threshold for problems of dissipative strain-gradient plasticity
Original language description
This work is concerned with the purely dissipative version of a well-established model of rate-independent strain-gradient plasticity. In the conventional theory of plasticity the approach to determining plastic flow is local, and based on the stress distribution in the body. For the dissipative problem of strain-gradient plasticity such an approach is not valid as the yield function depends on microstresses that are not known in the elastic region. Instead, yield and plastic flow must be considered at the global level. This work addresses the problem of determining the elastic threshold by formulating primal and dual versions of the global problem and, motivated by techniques used in limit analysis for perfect plasticity, establishing conditions for lower and upper bounds to the threshold. The general approach is applied to two examples: of a plate under plane stress, and subjected to a prescribed displacement, and of a bar subjected to torsion.
Czech name
—
Czech description
—

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

Project
<a href="/en/project/GA19-11441S" target="_blank" >GA19-11441S: Efficient and reliable computational techniques for limit analysis and incremental methods in geotechnical stability</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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