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- W2376908596 abstract "Original Research Paper Received 08 May 2015 Accepted 01 July 2015 Available Online 25 July 2015 This paper concerns the effect of auxiliary fields and also the contour distance from the crack tips on accuracy of stress intensity factors of Functionally Graded Materials (FGMs), using the interaction integral method. In the first step, defining auxiliary fields of displacement, strain, and, stress appropriately, the interaction integral is derived which is independent from derivatives of properties of the materials. Actual and auxiliary fields of displacement, strain and stress are used to compute the interaction integral. Actual fields are obtained by isoparametric finite element method, while auxiliary fields are constructed by use of the crack tip properties on the basis of Williams’ solution. These auxiliary fields are not appropriate, except near the crack tips. Therefore, di erent non-equilibrium and incompatibility formulations are used to consider the changes in non-homogeneous material. Considering the changes in FGMs as an exponential function, the results will then be obtained from these formulations and are compared with others recorded in the literature. Furthermore, considering different contours, the effect of contour distance from the crack tips on the stress intensity factors of FGMs is examined. The results confirm that the solutions using the incompatibility and constant constitutive tensor are more accurate. In contrast, the non-equilibrium method is not proper for contours which are placed far away from the crack tips and presents less accuracy." @default.
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- W2376908596 date "2015-01-01" @default.
- W2376908596 modified "2023-09-27" @default.
- W2376908596 title "THE EFFECT OF AUXILIARY FIELDS ON STRESS INTENSITY FACTORS IN FUNCTIONALLY GRADED MATERIALS" @default.
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