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A numerical method for evaluation of J‐integral in plates made of functionally graded materials with sharp and blunt V‐notches
Authors:E. BARATI  Y. ALIZADEH
Affiliation:1. Mechanical and Aerospace Engineering Department, Malek‐Ashtar University of Technology, Shahinshahr, Esfahan, Iran;2. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran
Abstract:The main purpose of the paper is to propose a numerical method for evaluation of J‐integral in plates made of functionally graded materials (FGM) with sharp and blunt V‐notches under Mode I loading. The material properties have been assumed to be varied exponentially along the specimen width (notch direction). Using the proposed method, the effect of material gradient on the J‐integral for two cases of sharp and blunt V‐notches has been studied. The results have shown that in FGMs with sharp V‐notches, the J‐integral is not proportional to inline image. So, the parameter JL is path dependent. It has been observed that the material gradient has larger effect on the J‐integral in sharp V‐notch compared with that in blunt V‐notch.
Keywords:FGM  J‐integral  numerical method  V‐notch
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