An h-adaptive boundary element method for fracture mechanics

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paperAEs aim is to modified the sample point error analysis method proposed by Kawaguchi and Kamiya, and to develop an h-adaptive quadratic boundary element mesh refinement procedure to be implemented into linear elastic crack problems. Two sample pointed are selected in each of the quadratic boundary element, and the extended error indicators at the sample points are calculated. The h-refinement procedure is based on the average extended error for all of the boundary elements. The stress intensity factors at the crack tip are calculated by the displacement extrapolation method and the J-integral calculation at the end of each iteration. The results show that the use of singular element at the crack is less important if the J integral method is to be used to find the SIF, because the J integral method gives the best result with fewer iterations.

Original languageEnglish
Title of host publicationBoundary Element Technology XIII. Proceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99
EditorsC S Chen, C A Brebbia, D W Pepper, I Harik, CS Chen, CA Brebbia, DW Pepper, I Harik
PublisherWITPress
Pages485-494
Number of pages10
ISBN (Print)1853126888
Publication statusPublished - 1999 Dec 1
EventProceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99 - Las Vegas, United States
Duration: 1999 Jun 11999 Jun 1

Other

OtherProceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99
CountryUnited States
CityLas Vegas
Period99-06-0199-06-01

Fingerprint

Insulator Elements
boundary element method
fracture mechanics
Boundary element method
Fracture mechanics
Cracks
crack
Extrapolation
Stress intensity factors
Crack tips
Error analysis
error analysis
method

All Science Journal Classification (ASJC) codes

  • Earth and Planetary Sciences(all)
  • Engineering(all)
  • Environmental Science(all)
  • Materials Science(all)

Cite this

Chao, R-M., Lee, S-Y., & Kuo, J. C. (1999). An h-adaptive boundary element method for fracture mechanics. In C. S. Chen, C. A. Brebbia, D. W. Pepper, I. Harik, CS. Chen, CA. Brebbia, DW. Pepper, ... I. Harik (Eds.), Boundary Element Technology XIII. Proceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99 (pp. 485-494). WITPress.
Chao, Ru-Min ; Lee, Sen-Yung ; Kuo, J. C. / An h-adaptive boundary element method for fracture mechanics. Boundary Element Technology XIII. Proceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99. editor / C S Chen ; C A Brebbia ; D W Pepper ; I Harik ; CS Chen ; CA Brebbia ; DW Pepper ; I Harik. WITPress, 1999. pp. 485-494
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Chao, R-M, Lee, S-Y & Kuo, JC 1999, An h-adaptive boundary element method for fracture mechanics. in CS Chen, CA Brebbia, DW Pepper, I Harik, CS Chen, CA Brebbia, DW Pepper & I Harik (eds), Boundary Element Technology XIII. Proceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99. WITPress, pp. 485-494, Proceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99, Las Vegas, United States, 99-06-01.

An h-adaptive boundary element method for fracture mechanics. / Chao, Ru-Min; Lee, Sen-Yung; Kuo, J. C.

Boundary Element Technology XIII. Proceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99. ed. / C S Chen; C A Brebbia; D W Pepper; I Harik; CS Chen; CA Brebbia; DW Pepper; I Harik. WITPress, 1999. p. 485-494.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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T1 - An h-adaptive boundary element method for fracture mechanics

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N2 - This paperAEs aim is to modified the sample point error analysis method proposed by Kawaguchi and Kamiya, and to develop an h-adaptive quadratic boundary element mesh refinement procedure to be implemented into linear elastic crack problems. Two sample pointed are selected in each of the quadratic boundary element, and the extended error indicators at the sample points are calculated. The h-refinement procedure is based on the average extended error for all of the boundary elements. The stress intensity factors at the crack tip are calculated by the displacement extrapolation method and the J-integral calculation at the end of each iteration. The results show that the use of singular element at the crack is less important if the J integral method is to be used to find the SIF, because the J integral method gives the best result with fewer iterations.

AB - This paperAEs aim is to modified the sample point error analysis method proposed by Kawaguchi and Kamiya, and to develop an h-adaptive quadratic boundary element mesh refinement procedure to be implemented into linear elastic crack problems. Two sample pointed are selected in each of the quadratic boundary element, and the extended error indicators at the sample points are calculated. The h-refinement procedure is based on the average extended error for all of the boundary elements. The stress intensity factors at the crack tip are calculated by the displacement extrapolation method and the J-integral calculation at the end of each iteration. The results show that the use of singular element at the crack is less important if the J integral method is to be used to find the SIF, because the J integral method gives the best result with fewer iterations.

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Chao R-M, Lee S-Y, Kuo JC. An h-adaptive boundary element method for fracture mechanics. In Chen CS, Brebbia CA, Pepper DW, Harik I, Chen CS, Brebbia CA, Pepper DW, Harik I, editors, Boundary Element Technology XIII. Proceedings of the 1999 Thirteenth International Conference on Boundary Element Technology, BETECH '99. WITPress. 1999. p. 485-494