被周期共线裂纹削弱的各向异性弹性平面的第一基本问题

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First Fundamental Problems of Anisotropic Elastic Plane Weakened by Periodic Collinear Cracks

摘要: 应用复变函数方法，讨论被周期共线裂纹削弱且在裂纹两边作用有周期边界载荷的各向异性无限弹性平面的第一基本问题．该问题曾为Cai［Eng Fracture Mech,1993,46（1）:133-142］讨论, 然而,解法及其过程不完善,使其结果不正确．文中给出正确的解法和解答．
- 各向异性平面 /
- 共线裂纹 /
- 弹性平衡条件
Abstract: The first fundamental problems of anisotropic in finite elastic plane weakened by periodic collinear cracks and with periodic boundary loads on both sides of the cracks were discussed by means of the method of complex function. This problem was considered by Cai[Eng Fracture Mech, 1993, 46:127-131], however, his method of solution is imperfect and so his results are incorrect. His method was revised and the correct solution was obtained here.
- anisotropic elastic plane /
- collinear cracks /
- condition of equilibrium

[1]	CAI Hai-tao. A periodic array of cracks in an infinite anisotropic medium[J].Eng Fracture Mech,1993,46(1),133-142.
[2]	Muskhelishvili N I.Some Basic Problem of the Mathematical Theory of Elasticity[M].Groningem:Noordhoff，1953.
[3]	Lekhnitsky S G.Anisotropic Plate[M].Groningem:Noordhoff，1954.
[4]	LU Jian-ke,Complex Variable Methods in Plane Elasticity[M].Singapore:World Scientific,1995.