Far Field Solution of SH-wave by Circular Hole and Linear Crack

摘要

Circular hole is used widely in structure design. In this paper, the method of Green's function is used to investigate the problem of far field solution of circular hole and linear crack impacted by incident SH-wave.Firstly, a Green's function is constructed for the problem,which is a fundamental solution of displacement field for an elastic space possessing a circular hole while bearing out-of-plane harmonic line source force at any point;Secondly, in terms of the solution of SH-wave's scattering by an elastic space with a circular hole, anti-plane stresses which are the same in quantity but opposite in direction to those mentioned before, are loaded at the region where the linear crack is in existent actually, we called this process "crack-division"; Finally, the expressions of the displacement and stresses are given when the circular hole and linear crack exist at the same time. Then, when the special Green's function has been constructed and close field solution has been illustrated, the far field of scattered wave is studied. The displacement mode of scattered wave at far field and scattering cross-section are given.Numerical results are illustrated and the influence of wave number, incident angles of SH-wave, the location of the cracks are discussed. The results can be applied in the study of fracture, and undamaged frame crack detection.