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Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
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SYSNO ASEP 0482050 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains Tvůrce(i) Adam, Lukáš (UTIA-B)
Outrata, Jiří (UTIA-B) RID, ORCID
Roubíček, Tomáš (UT-L) RID, ORCIDCelkový počet autorů 3 Zdroj.dok. Optimization. - : Taylor & Francis - ISSN 0233-1934
Roč. 66, č. 12 (2017), s. 2025-2049Poč.str. 25 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova rate-independent systems ; optimal control ; identification Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Vědní obor RIV – spolupráce Ústav teorie informace a automatizace - Obecná matematika CEP GAP201/10/0357 GA ČR - Grantová agentura ČR GA14-15264S GA ČR - Grantová agentura ČR Institucionální podpora UT-L - RVO:61388998 ; UTIA-B - RVO:67985556 UT WOS 000415761800006 EID SCOPUS 84948160323 DOI 10.1080/02331934.2015.1111364 Anotace A class of evolution quasi-static systems which leads, after a suitable time discretization, to recursive non-linear programs, is considered and optimal control or identification problems governed by such systems are investigated. The resulting problem is an evolutionary Mathematical Programs with Equilibrium Constraints. A subgradient information of the (in general nonsmooth) composite objective function is evaluated and the problem is solved by the implicit programming approach. The abstract theory is illustrated on an identification problem governed by delamination of a unilateral adhesive contact of elastic
bodies discretized by finite-element method in space and a semiimplicit formula in time. Being motivated by practical tasks, an identification
problem of the fracture toughness and of the elasticity moduli of the adhesive is computationally implemented and tested numerically on a two-dimensional example. Other applications including frictional contacts or bulk damage, plasticity or phase transformations are outlined.Pracoviště Ústav termomechaniky Kontakt Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Rok sběru 2018
Počet záznamů: 1