Acta Mechanica Solida Sinica

, Volume 26, Issue 1, pp 35–45

# Analysis of Two Dissimilar Functionally Graded Strips Containing Interface Crack under Plane Deformation

• Haiyang Li
• Xingtao Zhang
• Zhanqi Cheng
• Danying Gao
• Zheng Zhong
Article

## Abstract

In this paper the plane elasticity problem of two bonded dissimilar functionally graded strips containing an interface crack is studied. The governing equation in terms of Airy stress function is formulated and exact solutions are obtained for several special variations of material properties in Fourier transformation domain. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Numerical results show that fracture toughness of materials can be greatly improved by graded variation of elastic modulus and the influence of the specific form of elastic modulus on the fracture behavior of FGM is limited.

## Key words

functionally graded materials stress intensity factor Fourier transformation singular integral equations

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© The Chinese Society of Theoretical and Applied Mechanics and Technology 2013

## Authors and Affiliations

• Haiyang Li
• 1
• Xingtao Zhang
• 2
• Zhanqi Cheng
• 2
• Danying Gao
• 2
• Zheng Zhong
• 3
1. 1.Zhengzhou Electromechanic Engineering Research InstituteZhengzhouChina
2. 2.School of Civil EngineeringZhengzhou UniversityZhengzhouChina
3. 3.School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghaiChina