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

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/67985556:_____/17:00453289 RIV/00216208:11320/17:10320081

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Optimization

ISSN

0233-1934

e-ISSN

—

Svazek periodika

66

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

25

Strana od-do

2025-2049

Kód UT WoS článku

000415761800006

EID výsledku v databázi Scopus

2-s2.0-84948160323