Number of the records: 1
Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
- 1.
SYSNO ASEP 0453289 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 (UTIA-B) RIDNumber of authors 3 Source Title Optimization. - : Taylor & Francis - ISSN 0233-1934
Roč. 66, č. 12 (2017), s. 2025-2049Number of pages 25 s. Publication form Print - P Language eng - English Country DE - Germany Keywords 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 Subject RIV BA - General Mathematics OECD category Pure mathematics Subject RIV - cooperation Institute of Thermomechanics - General Mathematics R&D Projects GA13-25911S GA ČR - Czech Science Foundation (CSF) GA13-18652S GA ČR - Czech Science Foundation (CSF) GAP201/10/0357 GA ČR - Czech Science Foundation (CSF) GAP201/12/0671 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 ; UT-L - RVO:61388998 UT WOS 000415761800006 EID SCOPUS 84948160323 DOI 10.1080/02331934.2015.1111364 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2018
Number of the records: 1