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Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains

SYSNO ASEP	0482050
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
Author(s)	Adam, Lukáš (UTIA-B) Outrata, Jiří (UTIA-B)_{RID, ORCID} Roubíček, Tomáš (UT-L)_{RID, ORCID}
Number of authors	3
Source Title	Optimization. - : Taylor & Francis - ISSN 0233-1934 Roč. 66, č. 12 (2017), s. 2025-2049
Number of pages	25 s.
Publication form	Print - P
Language	eng - English
Country	GB - United Kingdom
Keywords	rate-independent systems ; optimal control ; identification
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
Subject RIV - cooperation	Institute of Information Theory and Automation - General Mathematics
R&D Projects	GAP201/10/0357 GA ČR - Czech Science Foundation (CSF)
	GA14-15264S GA ČR - Czech Science Foundation (CSF)
Institutional support	UT-L - RVO:61388998 ; UTIA-B - RVO:67985556
UT WOS	000415761800006
EID SCOPUS	84948160323
DOI	10.1080/02331934.2015.1111364
Annotation	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.
Workplace	Institute of Thermomechanics
Contact	Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823
Year of Publishing	2018

Number of the records: 1