Interaction Of Circular Cavity And Crack Near The Bimaterial Interface Impacted By SH-Wave

The problems of SH-wave scattering,which is caused by half-space circular cavity near the bimaterial interface and crack of arbitrary position,are studied in this paper beyond the field of elastodynamics,and the methods of Green's Function,complex variables function and multi-polar coordinates are used here.First,a suitable Green's function is constructed,and this is the key technology of this problem.Two Green's functions are needed here:one is an essential solution of the displacement field for the elastic half-space possessing circular cavity and crack with arbitrary position while bearing out-of-plane harmonic line source loads at arbitrary point,and using this,displacement for the surface and internal of elastic half-space possessing circular cavity while bearing out-of-plane harmonic line source loads at arbitrary point can be obtained,the crack with arbitrary position is established by using the method of crack-division, then,the first Green' function for this problem is constructed.The second Green' function is an essential solution of the displacement field for the elastic whole space while bearing out-of-plane harmonic line source loads at arbitrary point.The scattering of SH-wave by crack of arbitrary position and a circular cavity near the bimaterial interface is investigated,the problem can be regarded as harmony model:the bimaterial media is divided into two parts along the horizontal interface,one is an elastic half space with a circular cavity and a crack, and the other is a complete elastic whole space.The horizontal surfaces of the two parts are loaded with undetermined anti-plane forces in order to satisfy at the linking section.A series of Fredholm integral equations can be set up through continuity conditions.Then,the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite integral equations,the expressions of displacement field and stress field of scattering of SH-wave by crack and circular cavity near the bimaterial interface are given.Numerical examples are provided to show the influences of wave numbers,incident angle,the distance between the center of the circular cavity and horizontal surfaces,the distance between the center of the circular cavity and crack,the angle,length of crack,and parameter combinations of different media upon dynamic stress concentration factor(DSCF) and dynamic stress intensity factor(DSIF).