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

CAI Hai-tao; LU Jian-ke

doi:10.3879/j.issn.1000-0887.2009.11.008

Volume 30 Issue 11

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CAI Hai-tao, LU Jian-ke. First Fundamental Problems of Anisotropic Elastic Plane Weakened by Periodic Collinear Cracks[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1341-1348. doi: 10.3879/j.issn.1000-0887.2009.11.008

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

doi: 10.3879/j.issn.1000-0887.2009.11.008

CAI Hai-tao¹,
LU Jian-ke²

1.
College of Mathematics, Central South University, Changsha 008, P. R. China;

Received Date: 2009-05-24
Rev Recd Date: 2009-08-26
Publish Date: 2009-11-15

Abstract

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

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References(4)

References

[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.