Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F15%3A00456081" target="_blank" >RIV/61388998:_____/15:00456081 - isvavai.cz</a>

Výsledek na webu

<a href="http://ac.els-cdn.com/S0362546X14003101/1-s2.0-S0362546X14003101-main.pdf?_tid=c4e832ba-d4c2-11e5-8448-00000aacb35f&acdnat=1455637049_0a70d2c2e8ce52a598373a559623d776" target="_blank" >http://ac.els-cdn.com/S0362546X14003101/1-s2.0-S0362546X14003101-main.pdf?_tid=c4e832ba-d4c2-11e5-8448-00000aacb35f&acdnat=1455637049_0a70d2c2e8ce52a598373a559623d776</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.na.2014.09.020" target="_blank" >10.1016/j.na.2014.09.020</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems

Popis výsledku v původním jazyce

The system of two inclusions delta(u)epsilon(t, u(t), z(t)) there exists 0 and delta R((z) over dot)+ delta(z)epsilon(t, u(t), z(t)) there exists 0 with the dissipation potential R degree-1 homogeneous and with the stored energy epsilon(t, ., .) separately convex is considered. The relation between conventional weak solutions and local solutions is shown, and a suitably integrated maximal-dissipation principle is devised to select force-driven local solutions and eliminate solutions with "too-early jumps'' as it may occur in energy-driven ones. This is illustrated on scalar examples. An approximation by a simple and efficient semi-implicit time discretization of the fractional-step type is shown to converge to local solutions. On the scalar examples, the approximate solutions are shown to satisfy the integrated maximal-dissipation principle asymptotically, while in general it is devised only to serve as an a-posteriori tool to justify (or possibly adaptively adjust) thus obtained appro

Název v anglickém jazyce

Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems

Popis výsledku anglicky

The system of two inclusions delta(u)epsilon(t, u(t), z(t)) there exists 0 and delta R((z) over dot)+ delta(z)epsilon(t, u(t), z(t)) there exists 0 with the dissipation potential R degree-1 homogeneous and with the stored energy epsilon(t, ., .) separately convex is considered. The relation between conventional weak solutions and local solutions is shown, and a suitably integrated maximal-dissipation principle is devised to select force-driven local solutions and eliminate solutions with "too-early jumps'' as it may occur in energy-driven ones. This is illustrated on scalar examples. An approximation by a simple and efficient semi-implicit time discretization of the fractional-step type is shown to converge to local solutions. On the scalar examples, the approximate solutions are shown to satisfy the integrated maximal-dissipation principle asymptotically, while in general it is devised only to serve as an a-posteriori tool to justify (or possibly adaptively adjust) thus obtained appro

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/GAP201%2F10%2F0357" target="_blank" >GAP201/10/0357: Moderní matematické a počítačové modely pro ne-elastické procesy v pevných látkách</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Nonlinear Analysis: Theory, Methods & Applications

ISSN

0362-546X

e-ISSN

—

Svazek periodika

113

Číslo periodika v rámci svazku

January

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

18

Strana od-do

33-50

Kód UT WoS článku

000345687300002

EID výsledku v databázi Scopus

2-s2.0-84908428491