Fracture Analysis near Interface Crack Tip for Mode I of Orthotropic Bi-Materials

Abstract:

The mechanical behaviors near interface crack tip for mode I of double dissimilar orthotropic composites are studied. By translating governing equations into generalized biharmonic equations, the stress functions containing two stress singularity exponents are found with the help of a complex function method. Based on the boundary conditions, two systems of non-homogeneous linear equations are obtained. Through solving these systems two real stress singularity exponents are determined under appropriate condition of bimaterial engineering parameters. By the uniqueness theorem of limit,both the theoretical formulae of stress intensity factors and analytic solutions of stress field and displacement field near interface crack tip are deduced.

• Periodical: Advanced Materials Research (Volumes 490-495)
• Pages: 3242-3252
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.490-495.3242
• Online since: March 2012
• Authors: An Qiang Dong, Wei Yang Yang, Jun Lin Li
• Keywords: Displacement, Interface Crack for Mode I, Orthotropic Bi-Materials, Stress, Stress Intensity Factor (SIF)

References

[1] M.L. Williams:Bulletin of the Seismological Society of America, Vol.49(1959), p.199.

[2] F.Erdogan, B.H.Wu:Journal of the Mechanics and Physics of Solids, Vol.41(1993), p.889.

[3] H.S. Yao, J.L. Li and S.Q. Zhang. Journal of Taiyuan University of Science and Technology, Vol. 27(2006), p.118.

[4] J.L. Li，S.Q. Zhang and W.Y. Yang: Applied Mathematics and Mechanics, Vol. 29(2008), p.1045.

[5] G.C. Sih and E.P. Chen: Mechanics of Fracture, Vol. 6(1981), p.117.

[6] H.T. Corten: Fracture, Vol. 7(1972), p.695.

[7] S.G. Lekhnitskii: Theory of Elasticity of An Anisotropic Elastic Body (Science Press, Beijing, 1963).

[8] J.R. Yu: Function of A Complex Variable (People Education Press, Beijing, 1979).