Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F21%3A00548778" target="_blank" >RIV/61388998:_____/21:00548778 - isvavai.cz</a>
Result on the web
<a href="https://www.esaim-m2an.org/articles/m2an/abs/2021/01/m2an190201/m2an190201.html" target="_blank" >https://www.esaim-m2an.org/articles/m2an/abs/2021/01/m2an190201/m2an190201.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/m2an/2020040" target="_blank" >10.1051/m2an/2020040</a>
Alternative languages
Result language
angličtina
Original language name
Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables
Original language description
An extension of the two-step staggered time discretization of linear elastodynamics in stress-velocity form to systems involving internal variables subjected to a possibly non-linear dissipative evolution is proposed. The original scheme is thus enhanced by another step for the internal variables which, in general, is implicit, although even this step might be explicit if no spatial gradients of the internal variables are involved. Using an abstract Banach-space formulation, a priori estimates and convergence are proved under a CFL condition. The developed three-step scheme finds applications in various problems of continuum mechanics at small strain. Here, we consider in particular plasticity, viscoelasticity (creep), diffusion in poroelastic media, and damage.
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
<a href="/en/project/GA19-04956S" target="_blank" >GA19-04956S: Dynamic and nonlinear behaviour of smart structures; modelling and optimization</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
E S A I M: Mathematical Modelling and Numerical Analysis
ISSN
0764-583X
e-ISSN
1290-3841
Volume of the periodical
55
Issue of the periodical within the volume
February
Country of publishing house
FR - FRANCE
Number of pages
19
Pages from-to
397-416
UT code for WoS article
000622089000013
EID of the result in the Scopus database
2-s2.0-85101773977