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Acta Mechanica Solida Sinica

, Volume 19, Issue 2, pp 114–121 | Cite as

Fracture analysis of a functionally graded strip under plane deformation

  • Zhanqi Cheng
  • Zheng Zhong
Article

Abstract

In this paper the plane elasticity problem for a functionally graded strip containing a crack is considered. It is assumed that the reciprocal of the shear modulus is a linear function of the thickness-coordinate, while the Possion’s ratio keeps constant. By utilizing the Fourier transformation technique and the transfer matrix method, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters and the graded parameter on the stress intensity factors and the strain energy release rate are investigated. The numerical results show that the graded parameters, the thickness of the strip and the crack size have significant effects on the stress intensity factors and the strain energy release rate.

Key words

functionally graded materials strip fracture stress intensity factors strain energy release rate 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Zhanqi Cheng
    • 1
    • 2
  • Zheng Zhong
    • 1
  1. 1.School of Aerospace Engineering and Applied mechanicsTongji UniversityShanghaiChina
  2. 2.Collage of Civil EngineeringZhengzhou UniversityZhengzhouChina

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