In fracture mechanics, due to singularity existing on the crack tip, the corresponding sensitivity analysis of Stress Intensity Factor (SIF) is not clear whether the overall finite difference (OFD) or Semi-analytical Method (SAM) can obtain accurate sensitivities. The paper proposes the Semi-analytical Complex Variable Method (SACVM) to compute sensitivities of SIF and compares the sensitivities computed by the SACVM with those computed by the OFD and SAM in Center Cracked Tension (CCT) specimen and Single Edge Notched Tension (SENT) specimen. The results reveal that the OFD obtains oscillated sensitivities because of the ill-conditioned linear system. The sensitivities computed by the OFD and SAM are sensitive to the perturbation size out of a certain range. However, this certain range varies with different variable, and is not known a priori. The proposed SACVM can always obtain accurate, consistent sensitivities with little extra computational cost than the SAM. The SACVM is not sensitive to the perturbation size and is not affected by the ill-conditioned linear system. Therefore, the SACVM is recommended to deal with sensitivity analysis in the fracture mechanics.
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ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 15–18, 2010
Montreal, Quebec, Canada
Conference Sponsors:
- Design Engineering Division and Computers in Engineering Division
ISBN:
978-0-7918-4411-3
PROCEEDINGS PAPER
Sensitivities Analysis Using the Semi-Analytic Complex Variable Method in Fracture Mechanics
Weiya Jin,
Weiya Jin
Zhejiang University of Technology, Hangzhou, China
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Brian H. Dennis,
Brian H. Dennis
University of Texas at Arlington, Arlington, TX
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Bo Ping Wang
Bo Ping Wang
University of Texas at Arlington, Arlington, TX
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Weiya Jin
Zhejiang University of Technology, Hangzhou, China
Brian H. Dennis
University of Texas at Arlington, Arlington, TX
Bo Ping Wang
University of Texas at Arlington, Arlington, TX
Paper No:
DETC2010-29130, pp. 851-857; 7 pages
Published Online:
March 8, 2011
Citation
Jin, W, Dennis, BH, & Wang, BP. "Sensitivities Analysis Using the Semi-Analytic Complex Variable Method in Fracture Mechanics." Proceedings of the ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3: 30th Computers and Information in Engineering Conference, Parts A and B. Montreal, Quebec, Canada. August 15–18, 2010. pp. 851-857. ASME. https://doi.org/10.1115/DETC2010-29130
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