Acta Mechanica Solida Sinica

, Volume 23, Issue 5, pp 437–446 | Cite as

Crack Propagating in Functionally Graded Coating with Arbitrarily Distributed Material Properties Bonded to Homogeneous Substrate

  • Zhanqi Cheng
  • Danying Gao
  • Zheng Zhong


In this paper, a finite crack with constant length (Yoffe type crack) propagating in a functionally graded coating with spatially varying elastic properties bonded to a homogeneous substrate of finite thickness under anti-plane loading was studied. A multi-layered model is employed to model arbitrary variations of material properties based on two linearly-distributed material compliance parameters. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Some numerical examples are given to demonstrate the accuracy, efficiency and versatility of the model. The numerical results show that the graded parameters, the thicknesses of the interfacial layer and the two homogeneous layers, the crack size and speed have significant effects on the dynamic fracture behavior.

Key words

functionally graded material moving crack dynamical stress intensity factors multi-layered model 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2010

Authors and Affiliations

  1. 1.School of Civil EngineeringZhengzhou UniversityZhengzhouChina
  2. 2.School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghaiChina

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