THE EFFECT OF AUXILIARY FIELDS ON STRESS INTENSITY FACTORS IN FUNCTIONALLY GRADED MATERIALS

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PEYMAN SAFA; GHAJAR RAHMAT ALLAH

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Journal: Modares Mechanical Engineering Year:2015 | Volume:15 | Issue:9 Page(s): 42-50

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Title

THE EFFECT OF AUXILIARY FIELDS ON STRESS INTENSITY FACTORS IN FUNCTIONALLY GRADED MATERIALS

Author(s)

PEYMAN SAFA | GHAJAR RAHMAT ALLAH | Issue Writer Certificate

Keywords

STRESS INTENSITY FACTORSQ2

INTERACTION INTEGRAL METHODQ1

AUXILIARY FIELDS OF FUNCTIONALLY GRADEDQ2

MATERIALSQ2

ISOPERIMETRIC FINITE ELEMENT METHODQ2

Abstract

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 ISOPERIMETRIC 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, different 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.

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APA: Copy

PEYMAN, SAFA, & GHAJAR, RAHMAT ALLAH. (2015). THE EFFECT OF AUXILIARY FIELDS ON STRESS INTENSITY FACTORS IN FUNCTIONALLY GRADED MATERIALS. MODARES MECHANICAL ENGINEERING, 15(9), 42-50. SID. https://sid.ir/paper/179006/en

Vancouver: Copy

PEYMAN SAFA, GHAJAR RAHMAT ALLAH. THE EFFECT OF AUXILIARY FIELDS ON STRESS INTENSITY FACTORS IN FUNCTIONALLY GRADED MATERIALS. MODARES MECHANICAL ENGINEERING[Internet]. 2015;15(9):42-50. Available from: https://sid.ir/paper/179006/en

IEEE: Copy

SAFA PEYMAN, and RAHMAT ALLAH GHAJAR, “THE EFFECT OF AUXILIARY FIELDS ON STRESS INTENSITY FACTORS IN FUNCTIONALLY GRADED MATERIALS,” MODARES MECHANICAL ENGINEERING, vol. 15, no. 9, pp. 42–50, 2015, [Online]. Available: https://sid.ir/paper/179006/en

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