Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F16%3A00465656" target="_blank" >RIV/68145535:_____/16:00465656 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/16:10330788

Výsledek na webu

<a href="http://link.springer.com/article/10.1007/s10492-016-0146-6" target="_blank" >http://link.springer.com/article/10.1007/s10492-016-0146-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10492-016-0146-6" target="_blank" >10.1007/s10492-016-0146-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals

Popis výsledku v původním jazyce

The paper is concerned with guaranteed and computable bounds of the limit (or safety) load, which is one of the most important quantitative characteristics of mathematical models associated with linear growth functionals. We suggest a new method for getting such bounds and illustrate its performance. First, the main ideas are demonstrated with the paradigm of a simple variational problem with a linear growth functional defined on a set of scalar valued functions. Then, the method is extended to classical plasticity models governed by vonMises and Drucker-Prager yield laws. The efficiency of the proposed approach is confirmed by several numerical experiments.

Název v anglickém jazyce

Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals

Popis výsledku anglicky

The paper is concerned with guaranteed and computable bounds of the limit (or safety) load, which is one of the most important quantitative characteristics of mathematical models associated with linear growth functionals. We suggest a new method for getting such bounds and illustrate its performance. First, the main ideas are demonstrated with the paradigm of a simple variational problem with a linear growth functional defined on a set of scalar valued functions. Then, the method is extended to classical plasticity models governed by vonMises and Drucker-Prager yield laws. The efficiency of the proposed approach is confirmed by several numerical experiments.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</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

Applications of Mathematics

ISSN

0862-7940

e-ISSN

—

Svazek periodika

61

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

38

Strana od-do

527-564

Kód UT WoS článku

000384412100002

EID výsledku v databázi Scopus

2-s2.0-84988014630