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

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Abstract

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.

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Authors and Affiliations

  1. School of Civil Engineering, Zhengzhou University, Zhengzhou, 450001, China

    Zhanqi Cheng & Danying Gao

  2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    Zheng Zhong

Authors
  1. Zhanqi Cheng
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  2. Danying Gao
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  3. Zheng Zhong
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Corresponding author

Correspondence to Zhanqi Cheng.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10802078 and 10872150) and China Postdoctoral Science Foundation (No. 20100471006).

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Cheng, Z., Gao, D. & Zhong, Z. Crack Propagating in Functionally Graded Coating with Arbitrarily Distributed Material Properties Bonded to Homogeneous Substrate. Acta Mech. Solida Sin. 23, 437–446 (2010). https://doi.org/10.1016/S0894-9166(10)60046-8

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  • DOI: https://doi.org/10.1016/S0894-9166(10)60046-8

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