Rate-independent elastoplasticity at finite strains and its numerical approximation

Result code in 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>

Alternative codes found

RIV/00216208:11320/16:10332308

Result on the web

<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>

Result language

angličtina

Original language name

Rate-independent elastoplasticity at finite strains and its numerical approximation

Original language description

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.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA14-15264S" target="_blank" >GA14-15264S: Experimentally justified multiscale modelling of shape memory alloys</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

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

Name of the periodical

Mathematical Models and Methods in Applied Sciences

ISSN

0218-2025

e-ISSN

—

Volume of the periodical

26

Issue of the periodical within the volume

12

Country of publishing house

SG - SINGAPORE

Number of pages

34

Pages from-to

2203-2236

UT code for WoS article

000387059900001

EID of the result in the Scopus database

2-s2.0-84990188413