Scattering Of SH-wave By Circular Inclusions And Cavity In Bi-material Full Space

With the rapid development of cities and the increasing number of urban population,underground engineering structures such as subway,underground shopping mall and underground garage are built in recent years,in order to alleviate the pressure of urban traffic and improve the living environment.With the acceleration of urbanization,the requirement of urban underground engineering is becoming higher and higher.The application of elastic wave scattering theory in geological exploration and engineering seismic has become one of the most important research topics today.The scattering of SH waves by a single type of defect and a special position defect in the whole space has been extensively studied.A relatively complete theoretical system has been formed at present.However,the forms of defects in medium are usually complex and locations of defects in medium are usually random in practical engineering applications.there are relatively few studies on complex scattering models with multiple and non-special defects at the same time,and the relationship between different defects has not yet been solved,in the study of elastic wave scattering theory?The scattering problem of SH waves in a full-space two-phase medium model with interfaces,holes,inclusions and degumming defects is studied in this paper.Taking "partition" and "conjunction" as the whole idea,the complex variable function method,Green's function method and multi-polar coordinate moving technology are used to study the problem.Firstly,the object of study is divided into two half-space structures along the interface by using the idea of "partition ".Then,the incident wave,the reflected wave,the refracted wave,and the scattered wave in the two half-space structures are solved.In order to fit the two half-space models into a full-space two-phase medium model,according to the conditions of displacement and stress continuity at the interface,an unknown force system with equal size and opposite direction is applied at the interface.Unknown force system is solved by definite integral equations.Then,the dynamic stress concentration factor of part of the structure is solved according to the wave field that has been solved.Finally,the numerical results of the dynamic stress concentration factor around some defects in the structure are given by programming with MATLAB software,and the influence of different parameters on the dynamic stress concentration factor is analyzed.which provides some guiding suggestions for practical engineering applications.