Coupled time discretisation of dynamic damage models at small strains.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F20%3A00536112" target="_blank" >RIV/61388998:_____/20:00536112 - isvavai.cz</a>
Result on the web
<a href="https://academic.oup.com/imajna/article-abstract/40/3/1772/5431182" target="_blank" >https://academic.oup.com/imajna/article-abstract/40/3/1772/5431182</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imanum/drz014" target="_blank" >10.1093/imanum/drz014</a>
Alternative languages
Result language
angličtina
Original language name
Coupled time discretisation of dynamic damage models at small strains.
Original language description
The dynamic damage model in viscoelastic materials in Kelvin–Voigt rheology is discretized by a scheme that is coupled, suppresses spurious numerical attenuation during vibrations and has a variational structure with a convex potential for small time steps. In addition, this discretization is numerically stable and convergent for the time step going to zero. When combined with a finite-element spatial discretization,it leads to an implementable scheme and to that iterative solvers (e.g., the Newton–Raphson) used for the nonlinear algebraic systems at each time level have guaranteed global convergence. Models that are computationally used in some engineering simulations in a nonreliable way are thus stabilized and theoretically justified in this viscoelastic rheology. In particular, this model and algorithm can be used in a reliable way for a dynamic fracture in the usual phase-field approximation.
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IMA Journal of Numerical Analysis
ISSN
0272-4979
e-ISSN
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Volume of the periodical
40
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
1772-1791
UT code for WoS article
000574428700005
EID of the result in the Scopus database
2-s2.0-85094024600