Scattering of Out-of-Plane Line Source Load by Shallow-Embedded Circular Lining Structure and Crack in Half Space
Scattering of Out-of-Plane Line Source Load by Shallow-Embedded Circular Lining Structure and Crack in Half Space
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DOI：
10.4028/www.scientific.net/kem.452-453.329
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发表时间：
2010-11
期刊：
影响因子：
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通讯作者：
Zai-lin Yang;Hua-nan Xu;M. Xu;B. Sun
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文献类型：
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作者：
Zai-lin Yang;Hua-nan Xu;M. Xu;B. Sun
本文在线弹性动力力学领域中研究了半空间浅埋圆形衬砌结构和裂纹对面外线源荷载的散射问题。这是具有浅埋圆形衬砌结构和裂纹的弹性空间在任意点承受面外简谐线源荷载时位移场的本质解。基于SH波散射的对称性和多极坐标方法，构造了稳态SH波入射时浅埋圆形衬砌结构散射的波函数。然后用“分缝”的方法进行了分缝。从而建立了浅埋圆形衬砌结构和裂缝同时存在时的位移和应力表达式。最后，采用两种不同的无量纲参数，对半空间浅埋圆形衬砌结构和裂纹对面外线源荷载的散射进行了数值计算，并通过算例分析了波数比、剪切模量比、厚度比和不同空腔中心距地表的距离与圆形衬砌结构半径的比值对裂纹尖端动应力集中因子和动应力强度因子的影响。
In this paper, we study the problems of scattering of out-of-plane line source load by half-space shallow-embedded circular lining structure and a crack in the field of linearly elastic dynamic mechanics. This is an essential solution to the displacement field for the elastic space possessing shallow-embedded circular lining structure and a crack while bearing out-of-plane harmonic line source load at arbitrary point. The wave function of scattering of shallow-embedded circular lining structure impacted by incident steady SH-wave is constructed based on the symmetry of SH-wave scattering and the method of multi-polar coordinates system. Then a crack is made out using the method of “crack-division”. Thus expressions of displacement and stress are established when shallow-embedded circular lining structure and a crack are both in existent. Finally, with two different dimensionless parameters, numerical results of scattering of out-of-plane line source load by half-space shallow-embedded circular lining structure and a crack are obtained and numerical examples are provided to show the influence of wave number ratio, shear modulus ratio, thickness ratio and the ratio of distance between the center of the different cavity and ground surface and the radius of the circular lining structure upon the dynamic stress concentration factor(DSCF) and dynamic stress intensity factor(DSIF) at crack tip.