DOI QR코드

DOI QR Code

Modeling and Analysis of Arbitrarily Shaped Three-Dimensional Cracks

임의 형태의 삼차원 균열 모델링 및 해석

  • Park, Jai-Hak (Dept. of Safety Engineering, Chungbuk Nat'l Univ.) ;
  • Nikishkov, G.P. (The University of Aizu)
  • 박재학 (충북대학교 안전공학과) ;
  • Received : 2011.04.18
  • Accepted : 2011.07.15
  • Published : 2011.09.01

Abstract

The SGBEM-FEM alternating method has been known to be a very effective method for analyzing threedimensional cracks in a finite body. The accurate values of the stress intensity factor can be obtained for a general planar or nonplanar three-dimensional crack. In the existing method, eight-noded quadrilateral boundary elements are used to model a crack. In some cases, three-node triangle boundary elements are more convenient for the modeling of a crack with a general shape. In this study, a crack is modeled with three-noded triangular and seven-noded quadrilateral elements by using the advancing-front mesh generation method. The stress intensity factors are obtained for cracks with several shapes and the accuracy of results is examined.

Keywords

Three-dimensional Crack;Stress Intensity Factor;Mesh Generation;Symmetric Galerkin Boundary Element Method

References

  1. Nikishkov, G.P., Park, J.H. and Atluri, S.N., 2001, "SGBEM-FEM Alternating Method for Analyzing 3D Non-planar Cracks and Their Growth in Structural Components," Comp. Modeling in Engng & Sci., Vol. 2, No. 3, pp. 401-422.
  2. Park, J.H., Kim, M.W. and Nikishkov, G.P., 2010, "SGBEM-FEM Alternating Method for Simulating 3D Through-Thickness Crack Growth," Comp. Modeling in Engng & Sci., Vol. 68, No. 3, pp. 269-296.
  3. Park, J.H. and Nikishkov, G.P., 2010, "Examination and Improvement of Accuracy of Three-Dimensional Elastic Solutions Obtained Using Finite Element Alternating Method," Transactions of the KSME(A), Vol. 34 , pp. 629-635. https://doi.org/10.3795/KSME-A.2010.34.5.629
  4. Li, S. and Mear, M.E., 1998, "Singularity-reduced Integral Equations for Displacement Discontinuities in Three Dimensional Linear Elastic Media," Int. J. Fracture, Vol. 93, pp. 87-114. https://doi.org/10.1023/A:1007513307368
  5. Li, S., Mear, M.E. and Xiao L., 1998, "Symmetric Weak-Form Integral Equation Method for Three- Dimensional Fracture Analysis," Comput. Methods Appl. Mech. Engrg., Vol. 151, pp. 435-459. https://doi.org/10.1016/S0045-7825(97)00199-0
  6. Anderson, T.L., 2005, Fracture Mechanics, 3rd ed., CRC Press.
  7. Frey, P.J. and George, P.L., 2000, Mesh Generation, Hermes Science Publishing, Oxford.
  8. Murakami, Y., Stress Intensity Factors Handbook, Pergamon, Vol. 2, pp. 808-809.