Analysis of Cracks under Concentrated Loading

• Main Authors: Yu-Sheng Wang, 王裕升
• Other Authors: 吳光鐘
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/16861860505906971012

碩士 === 國立臺灣大學 === 應用力學研究所 === 100 === The stress intensity factor of multiple cracks system in a homogeneous linear elastic body under concentrated load is discussed in this study. Distribution of dislocations are used to simulate the cracks and construct the integral equation which relating tractions on crack planes. The integral equation can be calculated numerically using Gaussian- Chebyshev integration quadrature and derive simultaneous equations. Solving the simultaneous equation can obtain the nodes of dislocation intensity function and then calculate the stress intensity factor at the crack tips. This thesis studied two collinear cracks of identical length under concentrated loading in infinite body and one edge crack under concentrated loading in semi- infinite body at first, to compare the numerical result with literature showing that the present method is highly accurate. Then calculate non-collinear multiple cracks system under concentrated loading in infinite body and collinear multi-edge cracks under concentrated loading in semi-infinite body. This thesis construct a method solving stress intensity factor for multiple cracks under concentrated loading.