Localization analysis of an energy-based fourth-order gradient plasticity model

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Localization analysis of an energy-based fourth-order gradient plasticity model

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Localization analysis of an energy-based fourth-order gradient plasticity model

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JN - Stavebnictví

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

European Journal of Mechanics - A/Solids

ISSN

0997-7538

e-ISSN

—

Svazek periodika

55

Číslo periodika v rámci svazku

January

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

22

Strana od-do

256-277

Kód UT WoS článku

000366067900021

EID výsledku v databázi Scopus

2-s2.0-84945427235