2013/09/27 by Martin Kružík, Kruzik, Martin, Christos G. Panagiotopoulos +3
Computer Science · Engineering · #35K85 #65M60 #65Z05 #74M15 #74R20 #Adhesion, Friction, and Surface Interactions #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Mechanical stress and fatigue analysis #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1309.7150
openalex publication_date 2013/09/27 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
An adhesive unilateral contact between visco-elastic bodies at small strains\nand in a Kelvin-Voigt rheology is scrutinized, neglecting inertia. The\nflow-rule for debonding the adhesive is considered rate independent,\nunidirectional, and non-associative due to dependence on the mixity of modes of\ndelamination, namely Mode I (opening) needs (=dissipates) less energy than Mode\nII (shearing). Such mode-mixity dependence of delamination is a very pronounced\n(and experimentally confirmed) phenomenon typically considered in engineering\nmodels.\n An efficient semi-implicit-in-time FEM discretization leading to recursive\nquadratic mathematical programs is devised. Its convergence and thus the\nexistence of weak solutions is proved. Computational experiments implemented by\nBEM illustrate the modeling aspects and the numerical efficiency of the\ndiscretization.\n