International Journal of Fracture

, Volume 173, Issue 1, pp 37–48 | Cite as

A non-singular boundary integral formula for frequency domain analysis of the dynamic T-stress

Original Paper
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Abstract

A non-singular 2-D boundary integral equation (BIE) in the Fourier-space frequency domain for determining the dynamic T-stress (DTS) is presented in this paper. This formulation, based upon the Fourier transform of the asymptotic expansion for the stress field in the vicinity of a crack tip, can be conveniently implemented as a post-processing step in a frequency-domain boundary element analysis of cracks. The proposed BIE is accurate as it can be directly collocated at the crack tip in question. The technique is also computationally effective as it simply requires a similar computing effort as that used in determining the dynamic stress components at an interior point of a domain. Five numerical examples involving both straight and curved cracks are studied to validate the proposed technique. For the frequency domain analysis of the DTS in these examples, the exponential window method is employed to obtain its time history.

Keywords

Dynamic T-stress Boundary integral equation Boundary element method Symmetric-Galerkin boundary element method Fracture analysis 
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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of South AlabamaMobileUSA

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