Jai Hak Park^*

Digital Engineering and Digital Twin, Vol.2, pp. 79-101, 2024, DOI:10.32604/dedt.2024.047280

Abstract A finite element alternating method has been known as a very convenient and accurate method to solve two and three-dimensional crack problems. In this method, a general crack problem is solved by a superposition of two solutions. One is a finite element solution for a finite body without a crack, and the other is an analytical solution for a crack in an infinite body. Since a crack is not considered in a finite element model, generating a model is very simple. The method is especially very convenient for a fatigue crack growth simulation. Over the past 40 years, S. N.… More >

Jai Hak Park¹, Maan Won Kim², Gennadiy P. Nikishkov³

CMES-Computer Modeling in Engineering & Sciences, Vol.68, No.3, pp. 269-296, 2010, DOI:10.3970/cmes.2010.068.269

Abstract A SGBEM-FEM alternating method had been proposed by Nikishkov, Park and Atluri for the analysis of three-dimensional planar and non-planar cracks and their growth. In the method, the symmetric Galerkin boundary element method is used for the crack solution in an infinite body and the finite element method is used to perform stress analysis for the uncracked body only. In this paper the method is extended further to analyze through-thickness cracks. Adequate shape of boundary element mesh is examined and it is found that the fictitious portion of the boundary element mesh, which is located outside the body, plays an… More >

G.P.Nikishkov², J.H.Park³, S.N.Atluri²

CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 401-422, 2001, DOI:10.3970/cmes.2001.002.401

Abstract An efficient and highly accurate, Symmetric Galerkin Boundary Element Method - Finite Element Method - based alternating method, for the analysis of three-dimensional non-planar cracks, and their growth, in structural components of complicated geometries, is proposed. The crack is modeled by the symmetric Galerkin boundary element method, as a distribution of displacement discontinuities, as if in an infinite medium. The finite element method is used to perform the stress analysis for the uncracked body only. The solution for the structural component, containing the crack, is obtained in an iteration procedure, which alternates between FEM solution for the uncracked body, and… More >