Researches on Interface Crack Problems for Mode Ⅱ of Double Dissimilar Orthotropic Composite Materials

YANG Wei-yang; ZHANG Shao-qin; LI Jun-lin; MA Yu-lan

doi:10.3879/j.issn.1000-0887.2009.05.005

Volume 30 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(5): 547-555

YANG Wei-yang, ZHANG Shao-qin, LI Jun-lin, MA Yu-lan. Researches on Interface Crack Problems for Mode Ⅱ of Double Dissimilar Orthotropic Composite Materials[J]. Applied Mathematics and Mechanics, 2009, 30(5): 547-555. doi: 10.3879/j.issn.1000-0887.2009.05.005

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Researches on Interface Crack Problems for Mode Ⅱ of Double Dissimilar Orthotropic Composite Materials

doi: 10.3879/j.issn.1000-0887.2009.05.005

1.
School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, P. R. China;

Received Date: 2008-10-18
Rev Recd Date: 2009-03-26
Publish Date: 2009-05-15

Abstract

Abstract

The fracture problems near interface crack tip for mode Ⅱ of double dissimilar orthotropic composite materials are studied. The mechanical models of interface crack for mode Ⅱ were given. By translating the governing equations into generalized bi-harmonic equations, the stress functions containing two stress singularity exponents were derived with the help of a complex function method. Based on the boundary conditions, a system of non-homogeneous linear equations was found. Two real stress singularity exponents were determined under appropriate conditions of bi-material engineering parameters through solving this system. According to the theorem of limit uniqueness, both the formulae of stress intensity factors and theoretical solutions of stress field near interface crack tip were deduced. When the two orthotropic materials are the same, the stress singularity exponents, stress intensity factors and stresses for mode Ⅱ crack of orthotropic single material were obtained.
- interface crack for mode Ⅱ,
- stress intensity factor,
- double materials,
- orthotropic

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References(18)

References

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