대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권4호
  • /
  • Pages.1353-1364
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  • 2019
  • /
  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2018.08.15
  • 심사 : 2018.09.17
  • 발행 : 2019.10.31
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초록

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.

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참고문헌

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