Generally, there exists difficulty on the application of derivative BIE because of the puzzle of the evaluation of hypersingular integrals.

This work presents the hypersingular integral equation method to analyze the multiple three-dimensional cracks problem in fully coupled electromagnetothermoelastic multiphase composites under extended electro-magneto-thermo-elastic coupled loading through intricate theoretical analysis and numerical simulations.

This paper proposes a hypersingular integral equation method to analyze the three-dimensional mixed-mode crack perpendicular to the interface in anisotropic electromagnetoelastic(EME)bimaterials under extended electro-magneto-elastic coupled loads through theoretical analysis and numerical simulations.

Based on investigation of the linear elastic crack problems,a time-domain hypersingular integral equation(TD-HIE)method is applied to solve a three-dimensional crack growth problems in electro-magneto-thermo-elastic coupled viscoplastic multiphase composites.

Using Somigiliana's formula, the general solutions and hypersingular integral equations for a three-dimensional impermeable crack problem in an infinite transversely isotropic piezoelectric solid under mechanical and electrical loads are given.

As the cracks lie in one side of the bimaterial plane,the problem is reduced with finite-part integral conceptions to a set of hypersingular integral equations,in which the unknown functions are the displacement discontinuities on the crack surfaces.

In this paper, the problem of an arbitrarily shaped planar crack which is perpendicular to the interface of bimaterial and loaded by interior normal pressure is studied by means of the method of hypersingular integral equation in three dimensional fracture mechanics.