Baniotopoulos, Charalambos C.; Haslinger, Jaroslav; Morávková, Zuzana Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities. (English) Zbl 1099.74021 Appl. Math., Praha 50, No. 1, 1-25 (2005). Summary: The paper deals with approximations and numerical realization of a class of hemivariational inequalities used for modeling of delamination and nonmonotone friction problems. Assumptions guaranteeing convergence of discrete models are verified, and numerical results of several model examples computed by a nonsmooth variant of Newton method are presented. Cited in 14 Documents MSC: 74G15 Numerical approximation of solutions of equilibrium problems in solid mechanics 74M10 Friction in solid mechanics 74M15 Contact in solid mechanics 74R99 Fracture and damage Keywords:approximation of hemivariational inequalities; delamination; nonmonotone friction; convergence; Newton method Software:PNEW × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link References: [2] R. Glowinski, J.-L. Lions, R. Trémolières: Numerical Analysis of Variational Inequalities. Studies in Mathematics and its Applications, Vol. 8. North Holland, Amsterdam, New York, 1981. [6] L. Lukšan, J. Vlček: PBUN, PNEW–a bundle type algorithms for nonsmooth optimization. Technical Report No. V-718, Sept. 1997. [7] Topics in Nonsmooth Mechanics (J. J. Moreau, P. D. Panagiotopoulos, and G. Strang, eds.). Birkhäuser-Verlag, Basel, 1988. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.