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THE INTERACTION OF PLANE SH-WAVES AND NON-CIRCULAR CAVITY SURFACED WITH LINING IN ANISOTROPIC MEDIA
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作者 史守峡 韩峰 +1 位作者 王振清 刘殿魁 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第9期855-867,共13页
This is an expand of the complex function method in solving the problem of interaction of plane.SH-waves and non-circular cavity surfaced with linig in anisotropic media.the use the method similar to that incorporated... This is an expand of the complex function method in solving the problem of interaction of plane.SH-waves and non-circular cavity surfaced with linig in anisotropic media.the use the method similar to that incorporated in [2] added with Savin's method for solving stress concentration of non-circular cavity surfaced with lining in elasticity.Anisotropic media can be used ic simulate the conditions of thegeology.The solving proceeding for this problem can be processed conveniently in the manner similar to that introduced in [2].In this paper.as illustrated in example numerical studies have been done for a square cavity surfaced with lining in anisotropic media. 展开更多
关键词 sh-waveS anisotropic media non-circular cavity surfaced with lining
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THE INTERACTION OF PLANE SH-WAVES AND CIRCULAR CAVITY SURFACED WITH LINING IN ANISOTBOPIC MEDIA
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作者 韩峰 韦扬 刘殿魁 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第12期1149-1159,共11页
In this paper. we use the complex function method for solving the problem ofinteraction of plane SH -waves and circular cavity surfaced with lining in anisotropicmedia.Anisotropic media can be used to simulate the con... In this paper. we use the complex function method for solving the problem ofinteraction of plane SH -waves and circular cavity surfaced with lining in anisotropicmedia.Anisotropic media can be used to simulate the conditions of the geology Thisproblem can be handled by using the method similar to that incorporated in Ref [5] todefine the scattering waves in media . added with the given boundary condition of the circular cavity. In this paper. as illustrated in the examples the results and discussions ofnumerical studies have been done for the interaction of plane SH-waves and two kinds of circular cavities surfaced with lining made up of different materials in anisotropicmedia. 展开更多
关键词 anisotropic. sh-wave. lining. interaction
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SCATTERING OF PLANE SH-WAVES ON SEMI-CANYON TOPOGRAPHY OF ARBITRARY SHAPE WITH LINGING IN ANISOTROPIC MEDIA
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作者 韩峰 刘殿魁 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第8期807-816,共10页
The purpose of this paper is to use the conforma mapping method[1]to analyzeand evaluate the ground displacement and scattering of incident SH-waves, on thesurface of semi-canyon topography of arbitrary shape with li... The purpose of this paper is to use the conforma mapping method[1]to analyzeand evaluate the ground displacement and scattering of incident SH-waves, on thesurface of semi-canyon topography of arbitrary shape with lining in anisotropic media.The problem to be solved can be reduced to the solution of an infinite algebraicequation set by using the method of full-space expansion of Fourier progression Usingthe mapping function and scattering theory to solve problems due to semi-canyon topography with lining is just like mapping the semi-cylindrical canyon of arbitraryshape into a cylindrical canyon in full-space.Moreover,it is far practical inengineering practice.From the computational examples,it is obvious that the variation of displacement amplitudes on the surface near the canyon topography is rather sharp. especially when the freqencies of incident SH-waves increase. 展开更多
关键词 anisotropic media sh-wave displacement amplitude canyon topography with lining
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各向异性介质中带衬砌的圆形结构与SH波相互作用 被引量:3
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作者 韩峰 韦扬 刘殿魁 《应用数学和力学》 CSCD 北大核心 1995年第12期1067-1077,共11页
本文利用复变函数方法求解各向异性介质中带衬砌的圆形结构与SH波的相互作用问题。各向异性介质可以用来模拟地质条件。利用文献[5]中的方法则可决定介质中的散射波,再利用圆形结构上给出的边界条件,则可对问题进行求解,作为算... 本文利用复变函数方法求解各向异性介质中带衬砌的圆形结构与SH波的相互作用问题。各向异性介质可以用来模拟地质条件。利用文献[5]中的方法则可决定介质中的散射波,再利用圆形结构上给出的边界条件,则可对问题进行求解,作为算例,本文给出了在一种各向异性介质中,二种不同材料组成的圆形带衬砌的结构与SH波相互作用问题的数值分析结果,并予以讨论。 展开更多
关键词 各向异性介质 SH波 相互作用 圆形结构 弹性波
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