Bounds on the elastic threshold for problems of dissipative strain-gradient plasticity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F20%3A00534325" target="_blank" >RIV/68145535:_____/20:00534325 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/abs/pii/S0022509620303239" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0022509620303239</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmps.2020.104089" target="_blank" >10.1016/j.jmps.2020.104089</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Bounds on the elastic threshold for problems of dissipative strain-gradient plasticity

Popis výsledku v původním jazyce

This work is concerned with the purely dissipative version of a well-established model of rate-independent strain-gradient plasticity. In the conventional theory of plasticity the approach to determining plastic flow is local, and based on the stress distribution in the body. For the dissipative problem of strain-gradient plasticity such an approach is not valid as the yield function depends on microstresses that are not known in the elastic region. Instead, yield and plastic flow must be considered at the global level. This work addresses the problem of determining the elastic threshold by formulating primal and dual versions of the global problem and, motivated by techniques used in limit analysis for perfect plasticity, establishing conditions for lower and upper bounds to the threshold. The general approach is applied to two examples: of a plate under plane stress, and subjected to a prescribed displacement, and of a bar subjected to torsion.

Název v anglickém jazyce

Bounds on the elastic threshold for problems of dissipative strain-gradient plasticity

Popis výsledku anglicky

This work is concerned with the purely dissipative version of a well-established model of rate-independent strain-gradient plasticity. In the conventional theory of plasticity the approach to determining plastic flow is local, and based on the stress distribution in the body. For the dissipative problem of strain-gradient plasticity such an approach is not valid as the yield function depends on microstresses that are not known in the elastic region. Instead, yield and plastic flow must be considered at the global level. This work addresses the problem of determining the elastic threshold by formulating primal and dual versions of the global problem and, motivated by techniques used in limit analysis for perfect plasticity, establishing conditions for lower and upper bounds to the threshold. The general approach is applied to two examples: of a plate under plane stress, and subjected to a prescribed displacement, and of a bar subjected to torsion.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA19-11441S" target="_blank" >GA19-11441S: Efektivní a spolehlivé výpočetní techniky pro limitní analýzu a přírůstkové metody v geotechnické stabilitě</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of the Mechanics and Physics of Solids

ISSN

0022-5096

e-ISSN

—

Svazek periodika

143

Číslo periodika v rámci svazku

October 2020

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

17

Strana od-do

104089

Kód UT WoS článku

000565688400001

EID výsledku v databázi Scopus

2-s2.0-85088111696