The anti-plane dynamic fracture analysis of functionally graded materials with arbitrary spatial variations of material properties

Xiao-Xia Gao; Yue-Sheng Wang; Gan-Yun Huang

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The anti-plane dynamic fracture analysis of functionally graded materials with arbitrary spatial variations of material properties

Xiao-Xia Gao 1,Yue-Sheng Wang 2 * #,Gan-Yun Huang 3

1.Beijing Jiaotong University

3.Tsinghua University

*Correspondence author

#Submitted by

Subject:

Funding: 教育部博士点基金，国家自然科学基金（No.20020004005，10025211，10572019）

Opened online:14 December 2005

Accepted by: none

Citation: Xiao-Xia Gao,Yue-Sheng Wang,Gan-Yun Huang.The anti-plane dynamic fracture analysis of functionally graded materials with arbitrary spatial variations of material properties[OL]. [14 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4372

Anti-plane dynamic fracture analysis is presented for functionally graded materials (FGM) with arbitrary spatial variations of material properties. The functionally graded material (FGM) with material properties varying continuously in an arbitrary manner is modeled as a multi-layered medium with the elastic modulus and mass density varying linearly in each sub-layer and continuous at the interfaces between sub-layers. With this linearly inhomogeneous multi-layered model, the problem of a crack in a graded interfacial zone bonded to two homogeneous half-spaces or in a coating bonded to a homogeneous half–space subjected to the anti-plane shear impact load is investigated. Laplace and Fourier transforms and transfer matrix are applied to reduce the mixed boundary value problem to a Cauchy singular integral equation which is solved numerically in the Laplace transformed domain. The dynamic stress intensity factors (DSIF) are obtained by using the numerical technique of Laplace inversion.

Keywords:crack; coating; interface; impact load; dynamic stress intensity factor; functionally graded material; anti-plane deformation

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