0428840 20240103204317.620140624235959.9 000354121400006 84930450567 10.1177/1081286513507942 18 s. cav_un_epca*02542741081-2865205 (2015)582-599Sage adhesive contact non-associative model quadratic mathematical programming cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory K 34 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0304094 Panagiotopoulos Ch. ES 33 cav_un_auth*0243096 Roubíček Tomáš D 2 - Termodynamika D 2 - Thermodynamics UT-L D2 – Thermodynamics 33 Ústav termomechaniky AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2014/MTR/kruzik-0428840.pdf An adhesive unilateral contact between visco-elastic bodies at small strains and in a Kelvin–Voigt rheology is scrutinized, neglecting inertia. The flow-rule for debonding the adhesive is considered rate independent, unidirectional, and non-associative due to dependence on the mixity of modes of delamination, namely Mode I (opening) needs (= dissipates) less energy than Mode II (shearing). Such mode-mixity dependence of delamination is a very pronounced (and experimentally confirmed) phenomenon typically considered in engineering models. An efficient semi-implicit-in-time FEM discretization leading to recursive quadratic mathematical programs is devised. Its convergence and thus the existence of weak solutions is proved. Computational experiments implemented by BEM illustrate the modeling aspects and the numerical efficiency of the discretization. 2016 BA 3 4 A 4a 20231122140255.0 RVO:67985556 RVO:61388998 http://hdl.handle.net/11104/0234220 S MECHANICS|MATERIALSSCIENCE.MULTIDISCIPLINARY|MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS 1.483 0.412 5.3 0.00241 0.597 777 0.632 Q2 1.603 68 Q1 44.791 68.1 Q3 Q2 75.743 2015 Soubory v repozitáři: kruzik-0428840.pdf 84930450567 SCOPUS 000354121400006 WOS cav_un_epca*0254274 Mathematics and Mechanics of Solids 1081-2865 1741-3028 Roč. 20 č. 5 2015 582 599 Sage