Počet záznamů: 1
Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
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SYSNO ASEP 0453289 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 (UTIA-B) RIDCelkový 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. DE - Německo Klíč. slova rate-independent systems ; optimal control ; identification ; fractional-step time discretization ; quadratic programming ; gradient evaluation ; variational analysis ; implicit programming approach ; limiting subdifferential ; coderivative ; nonsmooth contact mechanics ; delamination Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Vědní obor RIV – spolupráce Ústav termomechaniky - Obecná matematika CEP GA13-25911S GA ČR - Grantová agentura ČR GA13-18652S GA ČR - Grantová agentura ČR GAP201/10/0357 GA ČR - Grantová agentura ČR GAP201/12/0671 GA ČR - Grantová agentura ČR Institucionální podpora UTIA-B - RVO:67985556 ; UT-L - RVO:61388998 UT WOS 000415761800006 EID SCOPUS 84948160323 DOI 10.1080/02331934.2015.1111364 Anotace A class of evolution quasistatic systems which leads, after a suitable time discretization, to recursive nonlinear 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 (MPEC). 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 semi-implicit 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 teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2018
Počet záznamů: 1