Scattering Of SH-waves By Interface Circular Cavity And Nearby Circular Cavity In Half Space With Bimaterial Medium

With the rapid development of the national economy and city construction, the urban underground engineering and the lifeline engineering has been widely used. The problems such as the seismic and anti-explosion design of underground engineering have become one of the very important subjects in the field of structural engineering. The theory of elastic wave scattering and dynamic stress concentration not only has been widely used in basic research of earthquake engineering, blast resistance of structures and seismic theory, but also has been obtained wealth of research results.The methods of complex function and Green function are used to solve the scattering of out-of-plane harmonic line source loads by interface circular cavity and nearby circular cavity on quarter of plane are investigated. First, constructing the Green function, the expression of incident waves is given by using the method of fictitious line source force. Then, the expression of scattered wave-field displacement solution is derived by using the method of image and multi-polar coordinates. At last, the distribution of the dynamic stress concentration factor of the circular hole with the changes of the parameters is obtained by using the MATLAB programming, which the out-of-plane harmonic line source loads load on optional position of the interface. The singularity, continuity and astringency are discussed.This part is still based on the idea of 'domain division' and 'conjunction', the bi-material media is divided into two quarter spaces along the bi-material interface. In order to solve unknown coefficients, the two parts can be set up through the Green's function and the continuous conditions of displacement on the boundary of the interfaces and the stress-free boundary condition. Then the integral equations for determining the unknown forces are established, and the formula of dynamic stress concentration factor is deduced. At last, a numerical example is given to calculate the distribution of dynamic stress concentration factor about the interface circular cavity and the nearby circular cavity with the changes of the parameters by using MATLAB programming.