Dynamic perfect plasticity and damage in viscoelastic solids
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F19%3A00517342" target="_blank" >RIV/61388998:_____/19:00517342 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/19:10403459
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1002/zamm.201800161" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/zamm.201800161</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.201800161" target="_blank" >10.1002/zamm.201800161</a>
Alternative languages
Result language
angličtina
Original language name
Dynamic perfect plasticity and damage in viscoelastic solids
Original language description
In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and development of shear bands) and damage effects in a dynamic setting. The interplay between the viscoelastic rheology with inertia, elasto‐plasticity, and unidirectional rate‐dependent incomplete damage affecting both the elastic and viscous response, as well as the plastic yield stress, is rigorously characterized by showing existence of weak solutions to the constitutive and balance equations of the model. The analysis relies on the notions of plastic‐strain measures and bounded‐deformation displacements, on sophisticated time‐regularity estimates to establish a duality between acceleration and velocity of the elastic displacement, on the theory of rate‐independent processes for the energy conservation in the dynamical‐plastic part, and on the proof of the strong convergence of the elastic strains. Existence of suitably defined weak solutions (even conserving energy) is proved rather constructively by using a staggered two‐step time discretization scheme.
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/GA18-03834S" target="_blank" >GA18-03834S: Localization phenomena in shape memory alloys: experiments & modeling</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
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 fur Angewandte Mathematik und Mechanik
ISSN
0044-2267
e-ISSN
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Volume of the periodical
99
Issue of the periodical within the volume
7
Country of publishing house
DE - GERMANY
Number of pages
27
Pages from-to
UNSP e201800161
UT code for WoS article
000474796200002
EID of the result in the Scopus database
2-s2.0-85067379945