Localization analysis of an energy-based fourth-order gradient plasticity model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F16%3A00235101" target="_blank" >RIV/68407700:21110/16:00235101 - isvavai.cz</a>
Result on the web
<a href="http://arxiv.org/pdf/1501.06788.pdf" target="_blank" >http://arxiv.org/pdf/1501.06788.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.euromechsol.2015.09.007" target="_blank" >10.1016/j.euromechsol.2015.09.007</a>
Alternative languages
Result language
angličtina
Original language name
Localization analysis of an energy-based fourth-order gradient plasticity model
Original language description
In this paper, analytical and numerical solutions of the formation and evolution of the localized plastic zone in a uniaxially loaded bar with variable cross-sectional area are provided. An energy-based variational approach is employed and the governing equations with appropriate physical boundary conditions, jump conditions, and regularity conditions at evolving elasto-plastic interface are derived for a fourth-order explicit gradient plasticity model with linear isotropic softening. Four examples that differ by regularity of the yield stress and stress distributions are presented. Results for the load level, size of the plastic zone, distribution of plastic strain and its spatial derivatives, plastic elongation, and energy balance are constructed and compared to another, previously discussed non-variational gradient formulation.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JN - Civil engineering
OECD FORD branch
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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
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Journal of Mechanics - A/Solids
ISSN
0997-7538
e-ISSN
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Volume of the periodical
55
Issue of the periodical within the volume
January
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
22
Pages from-to
256-277
UT code for WoS article
000366067900021
EID of the result in the Scopus database
2-s2.0-84945427235