(An) immersed finite element method for the elasticity problems with cracks크랙이 있는 탄성문제에 대한 경계함유 유한요소법

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dc.contributor.advisorKwak, Do Young-
dc.contributor.advisor곽도영-
dc.contributor.authorKyeong, Daehyeon-
dc.contributor.author경대현-
dc.date.accessioned2017-03-29T02:46:06Z-
dc.date.available2017-03-29T02:46:06Z-
dc.date.issued2016-
dc.identifier.urihttp://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=663136&flag=dissertationen_US
dc.identifier.urihttp://hdl.handle.net/10203/222188-
dc.description학위논문(박사) - 한국과학기술원 : 수리과학과, 2016.8 ,[iii, 51 p. :]-
dc.description.abstractWe propose a finite element method (FEM) for solving planar elasticity problems involving of heterogeneous materials using uniform grid. Since the interface is allowed to cut through the element, we modify the standard Crouzeix-Raviart (CR) $P_1$-nonconforming basis functions so that they satisfy the jump conditions along the interface. It is well-known that the nonconforming piecewise linear FEM does not satisfy the discrete Korn’s inequality. To ensure the coercivity of the bilinear form arising from using the nonconforming finite elements, we add stabilizing terms as in the discontinuous Galerkin (DG) method. Numerical experiments for various problems show that second order convergence in $L^2$ and first order in $H^1$-norms. Moreover, the convergence order is very robust for nearly incompressible case.-
dc.languageeng-
dc.publisher한국과학기술원-
dc.subjectelasticity problems-
dc.subjectimmersed finite element method-
dc.subjectstability term-
dc.subjectCrouzeix-Raviart element-
dc.subjectdisplacement discontinuity-
dc.subject탄성 문제-
dc.subject경계함유 유한요소법-
dc.subject안정성 항-
dc.subjectCrouzeix-Raviart 원소-
dc.subject불연속 변위-
dc.title(An) immersed finite element method for the elasticity problems with cracks-
dc.title.alternative크랙이 있는 탄성문제에 대한 경계함유 유한요소법-
dc.typeThesis(Ph.D)-
dc.identifier.CNRN325007-
dc.description.department한국과학기술원 :수리과학과,-
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