| Summary: | 博士 === 中正理工學院 === 國防科學研究所 === 82 === Some powerful numerical method (e.g. FEM and BEM) can be applied to deal with the complicated fracture problems. However, the rigorous discritization of the mesh, the huge data input and large computation time make the problem complicated. To circumvent these difficulties and shortcomes, a boundary element alternating method is developed in this thesis.
The analytical solution of Mode-Ⅲ fracture problem in infinite domain and boundary element method must be established in the procedure of boundary element alternating method. An analytical solution of tearing Mode-Ⅲ fracture problem which is a carck in an infinite sheet subjected to arbitrary longitudinal shear loading represented by a polynomial of any order, is first derived. This analytical solution can be correlated with an alternating method to solve the Mode-Ⅲ fracture problems with multiple cracks in an infinite sheet. Finally, combining the above technique and boundary element method for the anti-plane problem establish the boundary clement alternating method for the Mode-Ⅲ fracture problems with multiple cracks in finite domain. The iterative superposition process is then repeatly applied to satisfy prescribed boundary conditions. In the process, using only conventional boundary element discretization to the uncracked boundaries, excellent solution for Mode-Ⅲ stress intensity factors can be calculated.
Several Mode-Ⅲ fracture problems with single or multiple cracks subjected to various type of boundary condition are analyzed to verify the versatility of the present work. The results are put into comparison with other reference solutions where the method put forth in this work is shown to be quite efficient and accurate.
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