| In this paper, Green’s function, wave function expansion and complex variable areutilized to investigate interaction of two circular cavities and an arbitrary length of crack atany position near bimaterials interface under incident SH-waves.Firstly, based on the symmetry of SH-waves scattering, complex variable function used tosolve three Green’s functions, namely the displacement field for elastic half space containinga circular cavity while bearing out-plane line source load at arbitrary point or at the surface, aswell as the wave field for half space containing a circular cavity and a crack while bearing aline source load at the interface surface. Combined with the solved Green’s function,according to “crack-division” technology, a beeline crack with arbitrary length at any positioncan be created: a series of loads which are the same in magnitude but opposite in sign to thestresses excited by SH-waves scattering are inflicted at the region where the crack is to becreated, the total stresses will be equal to zero, then a crack is created. On the basis of“Conjunction” idea, the bimaterials problem is divided into two linear elastic half space, oneis a half space containing a circular cavity and a crack, the other one is a half space containinga circular cavity, and combined with the continuous boundary condition of displacement andstress at the interface surface, a group of infinite integral equations are set up. Consequently,the expressions of displacement field and stress field of SH waves scattering by circularcavities and a crack near bimaterials interface can be deduced and thus the analyticalexpressions of dynamic stress concentration factor (DSCF) around the elastic inclusion anddynamic stress intensity factor (DSIF) at crack tip can be also derived. Lastly, numerousnumerical examples are given to discuss the influence of different parameters on dynamicstress concentration factor (DSCF) around the circular cavities and dynamic stress intensityfactor (DSIF) at crack tip. |
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