Rate-independent elastoplasticity at finite strains and its numerical approximation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F16%3A00464549" target="_blank" >RIV/61388998:_____/16:00464549 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/16:10332308

Výsledek na webu

<a href="http://www.worldscientific.com/doi/abs/10.1142/S0218202516500512" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/S0218202516500512</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218202516500512" target="_blank" >10.1142/S0218202516500512</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Rate-independent elastoplasticity at finite strains and its numerical approximation

Popis výsledku v původním jazyce

Gradient plasticity at large strains with kinematic hardening is analyzed as quasistatic rate-independent evolution. The energy functional with a frame-indifferent polyconvex energy density and the dissipation is approximated numerically by finite elements and implicit time discretization, such that a computationally implementable scheme is obtained. The nonself-penetration as well as a possible frictionless unilateral contact is considered and approximated numerically by a suitable penalization method which keeps polyconvexity and simultaneously bypasses the Lavrentiev phenomenon. The main result concerns the convergence of the numerical scheme toward energetic solutions. In the case of incompressible plasticity and of nonsimple materials, where the energy depends on the second derivative of the deformation, we derive an explicit stability criterion for convergence relating the spatial discretization and the penalizations.

Název v anglickém jazyce

Rate-independent elastoplasticity at finite strains and its numerical approximation

Popis výsledku anglicky

Gradient plasticity at large strains with kinematic hardening is analyzed as quasistatic rate-independent evolution. The energy functional with a frame-indifferent polyconvex energy density and the dissipation is approximated numerically by finite elements and implicit time discretization, such that a computationally implementable scheme is obtained. The nonself-penetration as well as a possible frictionless unilateral contact is considered and approximated numerically by a suitable penalization method which keeps polyconvexity and simultaneously bypasses the Lavrentiev phenomenon. The main result concerns the convergence of the numerical scheme toward energetic solutions. In the case of incompressible plasticity and of nonsimple materials, where the energy depends on the second derivative of the deformation, we derive an explicit stability criterion for convergence relating the spatial discretization and the penalizations.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA14-15264S" target="_blank" >GA14-15264S: Experimentálně podložené multiškálové modelování slitin s tvarovou pamětí</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Mathematical Models and Methods in Applied Sciences

ISSN

0218-2025

e-ISSN

—

Svazek periodika

26

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

34

Strana od-do

2203-2236

Kód UT WoS článku

000387059900001

EID výsledku v databázi Scopus

2-s2.0-84990188413