DOI QR코드

DOI QR Code

J-integral calculation by domain integral technique using adaptive finite element method

  • Phongthanapanich, Sutthisak (Mechanical Engineering Technology Department, College of Industrial Technology, King Mongkut's University of Technology North Bangkok) ;
  • Potjananapasiri, Kobsak (Mechanical Engineering Department, Faculty of Engineering, Chulalongkorn University) ;
  • Dechaumphai, Pramote (Mechanical Engineering Department, Faculty of Engineering, Chulalongkorn University)
  • 투고 : 2005.11.30
  • 심사 : 2007.12.28
  • 발행 : 2008.03.10

초록

An adaptive finite element method for analyzing two-dimensional and axisymmetric nonlinear elastic fracture mechanics problems with cracks is presented. The J-integral is used as a parameter to characterize the severity of stresses and deformation near crack tips. The domain integral technique, for which all relevant quantities are integrated over any arbitrary element areas around the crack tips, is utilized as the J-integral solution scheme with 9-node degenerated crack tip elements. The solution accuracy is further improved by incorporating an error estimation procedure onto a remeshing algorithm with a solution mapping scheme to resume the analysis at a particular load level after the adaptive remeshing technique has been applied. Several benchmark problems are analyzed to evaluate the efficiency of the combined domain integral technique and the adaptive finite element method.

키워드

참고문헌

  1. Anderson, T.L. (2005), Fracture Mechanics: Fundamentals and Applications, 3rd edition, Taylor & Francis.
  2. Aoki, S., Kishimoto, K. and Sakata, M. (1981), "Energy-release rate in elastic-plastic fracture problems", J Appl. Mech., 48, 825-829. https://doi.org/10.1115/1.3157741
  3. Atluri, S.N. (1982), "Path-independent integrals in finite elasticity and inelasticity, with body force, inertia and arbitrary crack-face conditions", Eng. Fract. Mech., 16, 341-364. https://doi.org/10.1016/0013-7944(82)90113-8
  4. Borouchaki, H., George, P.L. and Mohammadi, B. (1997), "Delaunay mesh generation governed by metric specifications. Part II. Application", Finite Elem. Anal. Des., 25, 85-109. https://doi.org/10.1016/S0168-874X(96)00065-0
  5. Dechaumphai, P., Phongthanapanich, S. and Bhandhubanyong, P. (2003), "Adaptive finite elements by Delaunay triangulation for fracture analysis of cracks", Struct. Eng. Mech., 15, 563-578. https://doi.org/10.12989/sem.2003.15.5.563
  6. Frey, WH. (1991), "Mesh relaxation: A new technique for improving triangulations", Int. J. Num. Meth. Eng., 31, 1121-1133. https://doi.org/10.1002/nme.1620310607
  7. Kumar, V, German, M.D. and Shih, C.F. (1981), "An engineering approach for elastic-plastic fracture analysis", EPRI Report NP-1931, Electric Power Research Institute, Palo Alto, CA.
  8. Kumar, V, Schumacher, B.I. and German, M.D. (1991), "Effect of thermal and residual stresses on the J-integral elastic-plastic fracture analysis", Comp. Struct., 40(2), 487-501. https://doi.org/10.1016/0045-7949(91)90374-U
  9. Li, F.Z., Shih, C.F. and Needleman, A. (1985), "A comparison of methods for calculating energy release rates", Eng. Fract. Mech., 21(2),405-421. https://doi.org/10.1016/0013-7944(85)90029-3
  10. Moran, B. and Shih, C.F. (1987), "Crack tip and associated domain integrals from momentum and energy balance", Eng. Fract. Mech., 27(6), 615-642. https://doi.org/10.1016/0013-7944(87)90155-X
  11. Nishioka, T. (1997), "Computational dynamic fracture mechanics", Int. I Fract., 86, 127-159. https://doi.org/10.1023/A:1007376924191
  12. Nishioka, T., Tokudome, H. and Kinoshita, M. (2001), "Dynamic fracture-path prediction in impact fracture phenomena using moving finite element method based on Delaunay automatic mesh generation", Int. J. Solids Struct., 38, 5273-5301. https://doi.org/10.1016/S0020-7683(00)00345-0
  13. Nishioka, T. and Stan, F. (2003), "A hybrid experimental-numerical study on the mechanism of three-dimensional dynamic fracture", Comput. Model. Eng. Sci., 4, 119-140.
  14. Phongthanapanich, S. and Dechaumphai, P. (2004), "Modified multidimensional dissipation scheme on unstructured meshes for high-speed compressible flow analysis", Int. J. Comput. Fluid D., 18, 631-640. https://doi.org/10.1080/10618560412331297641
  15. Phongthanapanich, S., Traivivatana S., Boonmaruth, P. and Dechaumphai, P. (2006), "Nodeless variable finite element method for heat transfer analysis by means of flux-based formulation and mesh adaptation", Acta Mech. Sin., 22, 138-147. https://doi.org/10.1007/s10409-006-0097-3
  16. Rice, J.R. (1968), "A path independent integral and the approximate analysis of strain concentration by notches and cracks", J. Appl. Mech., 35, 379-386. https://doi.org/10.1115/1.3601206
  17. Shih, C.F., Moran, B. and Nakamura, T. (1986), "Energy release rate along a three-dimensional crack front in a thermally stressed body", Int. J. Fract., 30, 79-102.

피인용 문헌

  1. Modeling and optimization of a cracked pipeline under pressure by an interactive method: design of experiments 2017, https://doi.org/10.1007/s12008-017-0385-0
  2. Fracture analysis of plastically graded material with thermo-mechanical J-integral vol.235, pp.5, 2021, https://doi.org/10.1177/1464420721991583