Modified Lagrange fuctional for solving Elastic problem with a crack in Continuum mechanics
Commun. Korean Math. Soc.
Published online August 5, 2019
Robert V. Namm, Georgiy I. Tsoy, and Gyungsoo Woo
Computing Center of Far Eastern Branch Russian Academy of Sciences, Changwon National University
Abstract : Modified Lagrange functional for solving an elastic problem with a crack is considered. Two formulations of a crack problem are investigated. The first formulation concerns a problem with a crack extending to nthe outer boundary of the domain. In the second formulation, we consider a problem with an internal crack. Duality ratio is established for initial and dual problem in both cases.
Keywords : elasticity, dual scheme, crack problem, modified Lagrange functional
MSC numbers : 65F10, 65K10, 49M15, 74G15, 74G65
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