Interaction Of Inclusion And Creak In Half Space Impacted By SH Wave

The problems of SH-wave scattering, which are caused by half-space inclusion (such as moving rigid cylinder or circular cavity) and crack of arbitrary length and arbitrary position, are studied in this paper beyond the field of linearly elastic dynamic mechanics. The methods of Green's Function, complex variables and muti-polar coordinates are used here. Firstly we construct a suitable Green's function, which is an essential solution to the displacement field for the elastic space possessing circular cavity or moving rigid cylinder while bearing out-of-plane harmonic line source load at arbitrary point. Then using the Green's function, the scattering problem of SH-wave is studied, which is caused by half-space inclusion(such as circular cavity or moving rigid cylinder) and crack of arbitrary length and arbitrary position. Then using the method of crack-division, the crack is established: reverse stresses are inflicted along the crack, that is, out-of-plane harmonic line source loads, which are equal in the quantity but opposite in the direction to the stresses produced for the reason of SH-wave scattering by crack or inclusion (circular cavity or moving rigid cylinder), are loaded at the region where crack will appear, thus the crack can be made out. Thus expressions of displacement and stress are established while crack and inclusion are both in existent. Finally, the dynamic stress concentration factor around the inclusion, the horizontal surface displacement and the variety of dynamic stress intensity factor at crack tip are discussed to the case of different parameters. The work in detail is as follows:1.The Green's function is constructed, which is an essential solution to the displacement field for the half elastic space possessing circular cavity or moving rigid cylinder while bearing out-of-plane harmonic line source load at arbitrary point. Then the continuity, singularity and some other characteristics of the...