Quasistatic elastoplasticity via Peridynamics: existence and localization
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F18%3A00493142" target="_blank" >RIV/67985556:_____/18:00493142 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00161-018-0671-5" target="_blank" >http://dx.doi.org/10.1007/s00161-018-0671-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00161-018-0671-5" target="_blank" >10.1007/s00161-018-0671-5</a>
Alternative languages
Result language
angličtina
Original language name
Quasistatic elastoplasticity via Peridynamics: existence and localization
Original language description
Peridynamics is a nonlocal continuum mechanical theory based on minimal regularity on the deformations. Its key trait is that of replacing local constitutive relations featuring spacial differential operators with integrals over differences of displacement fields over a suitable positive interaction range. The advantage of such perspective is that of directly including nonregular situations, in which discontinuities in the displacement field may occur. In the linearized elastic setting, the mechanical foundation of the theory and its mathematical amenability have been thoroughly analyzed in the last years. We present here the extension of Peridynamics to linearized elastoplasticity. This calls for considering the time evolution of elastic and plastic variables, as the effect of a combination of elastic energy storage and plastic energy dissipation mechanisms. The quasistatic evolution problem is variationally reformulated and solved by time discretization. In addition, by a rigorous evolutive Γ -convergence argument we prove that the nonlocal peridynamic model converges to classic local elastoplasticity as the interaction range goes to zero.
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
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Continuum Mechanics and Thermodynamics
ISSN
0935-1175
e-ISSN
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Volume of the periodical
30
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
30
Pages from-to
1155-1184
UT code for WoS article
000441283500013
EID of the result in the Scopus database
2-s2.0-85051427686