Elastodynamic stress-intensity factors for a semi-infinite crack under 3-D loading
Elastodynamic stress-intensity factors for a semi-infinite crack under 3-D loading
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3-D 载荷下半无限裂纹的弹性动力应力强度因子
DOI：
10.1115/1.3424032
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发表时间：
1977
期刊：
影响因子：
--
通讯作者：
A. Gautesen
中科院分区：
文献类型：
--
作者：
J. Achenbach;A. Gautesen
本文研究了含半无限裂纹的无限固体三维稳态弹性动力响应的弹性动力应力强度因子。通过应用傅立叶变换技术结合维纳-霍普夫方法得到解析解。给出了两个具体的例子。对于一个平面的纵波，这是在一个任意角度下与裂纹的边缘入射的衍射，明确的表达式给出的模式I，II和III的应力强度因子。详细计算了这些量随入射波方向的变化，并将结果用几张图表示出来。第二个例子处理的弹性动力场所产生的应用程序的正常点载荷的大小相等，但相反的方向的表面的裂纹。对于这种情况下，相对简单的近似表达式得出的模式I应力强度因子。
Elastodynamic stress-intensity factors accompanying the three-dimensional steady-state elastodynamic response of an unbounded solid containing a semi-infinite crack, are investigated in this paper. Analytic solutions are obtained by application of the Fourier transform technique in conjunction with the Wiener-Hopf method. Two specific examples are worked out. For the diffraction of a plane longitudinal wave, which is incident under an arbitrary angle with the edge of the crack, explicit expressions are presented for the Modes I, II, and III stress-intensity factors. The variation of these quantities with the direction of the incident wave was worked out in detail, and the results are displayed in several figures. The second example deals with the elastodynamic field generated by the application of normal point loads of equal magnitude but opposite sense to the surfaces of the crack. For this case relatively simple approximate expressions are derived for the Mode I stress-intensity factor.