Numerical approximation of a thermodynamically complete rate-type model for the elastic-perfectly plastic response
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10474464" target="_blank" >RIV/00216208:11320/23:10474464 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5O3s0WILJ_" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5O3s0WILJ_</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.202300030" target="_blank" >10.1002/zamm.202300030</a>
Alternative languages
Result language
angličtina
Original language name
Numerical approximation of a thermodynamically complete rate-type model for the elastic-perfectly plastic response
Original language description
We analyse a numerical scheme for a system arising from a novel description of the standard elastic-perfectly plastic response. The elastic-perfectly plastic response is described via rate-type equations that do not make use of the standard elastic-plastic decomposition, and the model does not require the use of variational inequalities. Furthermore, the model naturally includes the evolution equation for temperature. We present a low order discretisation based on the finite element method. Under certain restrictions on the mesh we subsequently prove the existence of discrete solutions, and we discuss the stability properties of the numerical scheme. The analysis is supplemented with computational examples.
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
10102 - Applied 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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ZAMM Zeitschrift für Angewandte Mathematik und Mechanik
ISSN
0044-2267
e-ISSN
1521-4001
Volume of the periodical
2023
Issue of the periodical within the volume
Neuveden
Country of publishing house
DE - GERMANY
Number of pages
19
Pages from-to
e202300030
UT code for WoS article
001119380900001
EID of the result in the Scopus database
2-s2.0-85175353535