Finite-part integral and boundary element method for interaction between two parallel planar cracks in three-dimensional finite bodies |
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Authors: | Wang Aiqin and Qin Taiyan |
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Institution: | (1) Dept. of Basic Sciences, Xi'an Highway University, 710064 Xi'an, China;(2) Dept. of Basic Sciences, China Agricultural University, 100083 Beijing, China |
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Abstract: | By using the Somigliana representation and the concepts of finite-part integrals, a set of hypersingular integral equations
of the interaction between two parallel planar cracks in a three-dimensional finite body subjected to arbitrary loads is derived,
and then its numerical method is proposed by the finite-part integral method combined with the boundary element method. According
to the analytic theory of hypersingular integral equations, the square root models of displacement discontinuities in the
elements near the crack front are applied, and thus the computational precision is raised. Based on this, the stress intensity
factors can be directly calculated. Finally, the stress intensity factors of several typical interaction problems are calculated. |
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Keywords: | two parallel planar cracks three-dimensional finite body hypersingular integral equation stress intensity factor |
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