[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c180350

MODIFIED LAGRANGE FUNCTIONAL FOR SOLVING ELASTIC PROBLEM WITH A CRACK IN CONTINUUM MECHANICS

Namm, Robert V. (Computing Center of Far Eastern Branch Russian Academy of Sciences)
Tsoy, Georgiy I. (Computing Center of Far Eastern Branch Russian Academy of Sciences)
Woo, Gyungsoo (Department of Mathematics Changwon National University)

Publication Information

Communications of the Korean Mathematical Society / v.34, no.4, 2019 , pp. 1353-1364 More about this Journal

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 where a crack extending to the 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; duality scheme; crack problem; modified Lagrange functional;

Citations & Related Records

Reference

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