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Calculation of transient dynamic stress intensity factors at bimaterial interface cracks using a SBFEM-based frequency-domain approach

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Abstract

A frequency-domain approach based on the semi-analytical scaled boundary finite element method (SBFEM) was developed to calculate dynamic stress intensity factors (DSIFs) at bimaterial interface cracks subjected to transient loading. Because the stress solutions of the SBFEM in the frequency domain are analytical in the radial direction, and the complex stress singularity at the bimaterial interface crack tip is explicitly represented in the stress solutions, the mixed-mode DSIFs were calculated directly by definition. The complex frequency-response functions of DSIFs were then used by the fast Fourier transform (FFT) and the inverse FFT to calculate time histories of DSIFs. A benchmark example was modelled. Good results were obtained by modelling the example with a small number of degrees of freedom due to the semi-analytical nature of the SBFEM.

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Authors and Affiliations

  1. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, 310027, China

    Z. J. Yang

  2. School of Civil and Resource Engineering, University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia

    Z. J. Yang & A. J. Deeks

Authors
  1. Z. J. Yang
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  2. A. J. Deeks
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Correspondence to Z. J. Yang.

Additional information

Supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education of China (Grant No. J20050924) and the Australian Research Council Discovery Project (Grant No. DP0452681)

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Yang, Z.J., Deeks, A.J. Calculation of transient dynamic stress intensity factors at bimaterial interface cracks using a SBFEM-based frequency-domain approach. Sci. China Ser. G-Phys. Mech. As 51, 519–531 (2008). https://doi.org/10.1007/s11433-008-0057-y

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  • DOI: https://doi.org/10.1007/s11433-008-0057-y

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