Variation of stress intensity factor and crack opening displacement of semi-elliptical surface crack
Variation of stress intensity factor and crack opening displacement of semi-elliptical surface crack
复制标题
半椭圆表面裂纹应力强度因子及裂纹张开位移变化
DOI：
10.1007/bf00018524
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发表时间：
1996
影响因子：
2.5
通讯作者：
S. Miyoshi
中科院分区：
文献类型：
--
作者：
N. Noda;S. Miyoshi
本文应用奇异积分方程法计算了三维表面裂纹沿着裂纹前缘的应力强度因子。本文以半无限体中由体力偶线引起的应力场为基本解。然后，问题被制定为一个积分方程的奇异性的形式ofr-3。在求解积分方程时，体积力密度的未知函数近似为多项式和基本密度函数的乘积，即在无限体中形成椭圆裂纹的精确密度分布。计算结果表明，对于不同的高宽比和泊松比，本方法给出了应力强度因子沿着裂纹前缘和裂纹张开位移沿着裂纹面的平滑变化。该方法给出了快速收敛的数值结果和非常满意的边界条件。
In this paper a singular integral equation method is applied to calculate the stress intensity factor along crack front of a 3D surface crack. Stress field induced by body force doublet in a semi infinite body is used as a fundamental solution. Then the problem is formulated as an integral equation with a singularity of the form ofr-3. In solving the integral equations, the unknown functions of body force densities are approximated by the product of a polynomial and a fundamental density function; that is, the exact density distribution to make an elliptical crack in an infinite body. The calculation shows that the present method gives the smooth variation of stress intensity factors along the crack front and crack opening displacement along the crack surface for various aspect ratios and Poisson's ratio. The present method gives rapidly converging numerical results and highly satisfactory boundary conditions throughout the crack boundary.