引用本文: 史文谱, 禇京莲, 李禄昌, 胡爱芹. 直角平面角点衬砌对稳态平面SH波的散射[J]. 力学与实践, 2006, 28(5).
SCATTERING OF STEADY INCIDENT SH-WAVE BY CIRCULAR ARC LINING AT THE CORNER POINT OF RECTANGULAR PLANE[J]. MECHANICS IN ENGINEERING, 2006, 28(5).
 Citation: SCATTERING OF STEADY INCIDENT SH-WAVE BY CIRCULAR ARC LINING AT THE CORNER POINT OF RECTANGULAR PLANE[J]. MECHANICS IN ENGINEERING, 2006, 28(5).

## SCATTERING OF STEADY INCIDENT SH-WAVE BY CIRCULAR ARC LINING AT THE CORNER POINT OF RECTANGULAR PLANE

• 摘要: 利用波函数展开法求解了二维直角平面角点处圆弧形衬砌对稳态入射平面SH波的散射问题，得到问题的解析解. 方法是首先构造出衬砌介质内外的总波场，它们能够预先满足直角平面两直角边界应力自由条件；再利用衬砌边界处的应力和位移连续条件写出确定散射波解中未知系数的方程组并求解. 通过算例具体讨论了衬砌内边界处的环向应力集中系数和位移幅度比随无量纲波数、入射角的变化情况，结果表明它们存在不同程度的放大现象.

Abstract: Wave function expansion method is used to study the scatteringof steady incident plane SH-wave by circular arc elastic lining at thecorner point of a rectangular plane. The total wave solutionsinside and outside the lining are constructed, which satisfy the free stressconditions of the two rectangular boundaries; all unknowncoefficients in the scattering solutions and the refraction wavesolutions are determined by solving the linear equations with the conditions of displacement/stress at the boundaries of thecircular lining. An example is given to illustrate the variations ofDTSCF(dynamic tangential stress concentration factor) and amplitude ratio ofthe points at the interior boundary of the circular lining vs dimensionlesswave numbers and incident angles. The results of the example show that theDTSCF and the amplitude ratio are magnified to some extent.

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