中心裂纹夹紧矩形板的拉伸*
Tension of a Clamped Rectangular Plate Containing a Central Crack
-
摘要: 本文利用单裂纹基本解及无限板条的Fourier变换解,将含有中心裂纹的夹紧矩形板的拉伸问题,化归为解一组奇异积分方程,进而使用Gauss-Jacobi求积公式,计算了中心裂纹的应力强度因子及夹紧边的法向应力,在应力强度因子表中还作了数值结果比较.Abstract: Using the fundamental solution of a single crack and the Fourier transform solution of an infinite strip, the tension problem of a clamped rectangular plate containing a central crack is reduced to solve a system of singular integral equations. Then, the normal stress on clamped side and the stress intensity factors of the central crack are carried out by means of Gauss-Jacobi integration formulas. The comparison of numerical results is shown in the "table of stress intensity factors".
-
[1] 汤任基、王凯,非对称载荷作用的Griffth裂纹问题,力学学报,3 (1980), 369-278. [2] Bowie,O.L.,Solutions of plane crack problems by mapping technique,Mechanics of Fracture 1(edited by G.C.Sih),(1973). [3] 汤任基,夹紧矩形板拉伸及角点应力奇异性分析的积分方程方法,力学学报,1(1986),93-96. [4] Erdogan,F.,Mixed boundary value problem in mechanics,Mechanics Today(edited by S.Nemal-Nasser),4(1978). -
计量
- 文章访问数: 1628
- HTML全文浏览量: 51
- PDF下载量: 454
- 被引次数: 0
下载:
渝公网安备50010802005915号