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《Acta Mechanica Solida Sinica》 2006-02
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THE ANTI PLANE GREEN FUNCTION SOLUTION OF THE PROBLEM OF A FIXED RIGID CIRCULAR INCLUSION IN RIGHT-ANGLE PLANE

Shi Wenpu~1 Liu Diankui~2 Song Yongtao~3(()~1 Electro-Mechanical Institute of Yantai University,Yantai,264005)(()~2 Haerbin Engineering University,Haerbin,150001)(()~3 Photoelectrical Institute of Yantai University,Yantai,264005)  
Complex function method and multi-polar coordinate transformation are used to study the Green function of a fixed rigid circular inclusion in right-angle planar space under an anti-plane point loading on the horizontal straight boundary.First,the incident displacement function of complete right-angle planar space which satisfies the stress boundary conditions is constructed Accerding to the wave equation,the scattering wave solution of the fixed rigid circular inclusion existing in the right-angle space subjected to the anti-plane point loading is then constructed which can satisfy the free stress conditions of the two right-angle boundaries,The total displacement field can be formulated using the overlapping principle.The unknown coefficients in the scattering solution can be solved by using the displacement boundary conditions of the inclusion,An example is given to show the variations of the radial and the tangential stresses vs the different wave numbers,different angles and different locations of the fixed inclusion and the point loading.The results of the given example show the validity and effectiveness of the method proposed.
【Fund】: 烟台大学博士启动基金项目(JX03B5)资助
【CateGory Index】: O347.41
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