Interaction of Elliptical Inclusion and Crack in Half-Space under SH-Waves
Interaction of Elliptical Inclusion and Crack in Half-Space under SH-Waves
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DOI：
10.4028/www.scientific.net/kem.525-526.345
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发表时间：
2012-11
期刊：
影响因子：
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通讯作者：
Zai-lin Yang;Hua-nan Xu;Bao-ping Hei;Yong Yang
中科院分区：
文献类型：
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作者：
Zai-lin Yang;Hua-nan Xu;Bao-ping Hei;Yong Yang
本文用格林函数、复变函数和多极坐标方法研究了半空间中椭圆夹杂和裂纹在SH波入射下的相互作用。基于SH波散射的对称性，发展了“保角映射”技术，构造了一个合适的格林函数，这是含有椭圆形夹杂的弹性半空间在任意点承受面外线源载荷时位移场的基本解，结合裂纹分割技术，在任意位置产生任意长度的直线裂纹。推导了夹杂与裂纹共存时的位移场和应力场，并给出了数值算例，讨论了不同参数对弹性夹杂周围动应力集中系数的影响。
The methods of Green's function, complex function and multi-polar coordinates are applied here to report interaction of an elliptical inclusion and a crack in half-space under incident SH-waves. Based on the symmetry of SH-waves scattering, the "conformal mapping" technology was developed to construct a suitable Green's function, a fundamental solution to the displacement field for the elastic half space containing elliptical inclusion while bearing out-plane line source load at arbitrary point, for creating a beeline crack with arbitrary length at any position combined with crack-division technology. The displacement field and stress field were then deduced while the inclusion coexists with the crack Lastly, numerical examples are presented to discuss the dependence of dynamic stress concentration factor (DSCF) around the elastic inclusion on different parameters.