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By using the Somigliana representation and the concepts of finite-part integrals,a set ofhypersingular integral equations of the interaction between two parallel planar cracks in a three-dimen-sional finite body subjected to arbitrary loads is derived,and then its numerical method is proposed bythe finite-part integral method combined with the boundary element method.According to the analytictheory of hypersingular integral equations,the square root models of displacement discontinuities in theelements near the crack front are applied,and thus the computational precision is raised.Based onthis,the stress intensity factors can be directly calculated.Finally,the stress intensity factors of sever-al typical interaction problems are calculated.
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-dimen-sional finite body subjected to arbitrary loads is derived, and then its numerical method is derived, and then its numerical method is proposed bythe finite-part integral method combined with the boundary element method. Accredited to the analytictheory 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 onthis, the stress intensity factors can be directly calculated. Finally, the stress intensity factors of sever-al typical interaction problems are calculated.