Acta Mechanica

, Volume 223, Issue 12, pp 2609–2620 | Cite as

Modeling method for the crack problem of a functionally graded interfacial zone with arbitrary material properties

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Abstract

A new multi-layered model is developed for the fracture analysis of a functionally graded interfacial zone with arbitrary material properties. It is assumed that the interfacial zone is divided into sub-layers with the material properties of each sub-layer varying in a power-law function. The model is used to study the crack problem in the functionally graded interfacial zone between two homogeneous half-planes under a dynamic anti-plane load. Using Fourier–Laplace transforms and the transfer matrix method, the mixed boundary value problem is reduced to a Cauchy singular integral equation, which is solved numerically in the Laplace transform domain. Laplace numerical inversion transform is employed to obtain the stress intensity factors. The results show that the new model is general and effective for the crack problem of the functionally graded interfacial zone with arbitrary properties.

Keywords

Stress Intensity Factor Interface Crack Crack Problem Interfacial Zone Antiplane Shear 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Xi’an Hi-Tech InstituteXi’anChina

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