求解一维正方准晶裂纹问题的半逆解法

Half-inverse Method for Solving the Problem of One-dimensional Orthorhombic Quasi-crystals with Crack

通过构造势函数,利用半逆解法和待定系数法,研究了一维正方准晶平行于准周期方向的裂纹问题,给出该问题的应力和应力强度因子的解析解.与构造保角映射的复变函数法相比,半逆解法不仅计算量小而且更简洁.

The problem about one-dimensional orthorhombic quasi-crystals with crack in parallel to quasi-periodic direction is investigated by constructing potential function and using complex-variable function knowledge, half-inverse method and undetermined coefficient method, the analytical solutions of stress and stress intensity factor about the problem are given explicitly. Compared with complex-variable function method based on constructing conformal mapping,it is less than amount of calculation and more simple.