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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F17%3A00482050" target="_blank" >RIV/61388998:_____/17:00482050 - isvavai.cz</a>
Alternative codes found
RIV/67985556:_____/17:00453289 RIV/00216208:11320/17:10320081
Result on the web
<a href="http://dx.doi.org/10.1080/02331934.2015.1111364" target="_blank" >http://dx.doi.org/10.1080/02331934.2015.1111364</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/02331934.2015.1111364" target="_blank" >10.1080/02331934.2015.1111364</a>

Result language
angličtina
Original language name
Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
Original language description
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 elasticnbodies discretized by finite-element method in space and a semiimplicit formula in time. Being motivated by practical tasks, an identificationnproblem 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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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