Stress Intensity Factor Determination in Functionally Graded Materials, Considering Continuously Varying of Material Properties

Authors

1 Mechanical Engineering, University of Isfahan

2 Engineering, university of Esfahan

Abstract

In this paper, the plates made of functionally graded material (FGM) with and without a crack are numerically simulated, employing the finite element method (FEM). The material property variations are defined to be fully continuous; therefore, the elements can be as small as required. For this purpose, variations of the material properties are applied in both the integration points and in the nodes by implementing a subroutine in the ABAQUS software and hence, the stress field in the singular points such as crack tip is accurately achieved. First, the stresses in the plate without a crack are numerically determined and the accuracy of FGM behavior is validated. Then, the J-integral is investigated and the stress intensity factor (SIF) of the plate with a crack is calculated, using the strain energy release rate (SERR) and the J -integral. In the following, dependency of the J-integral on the path is studied and the results are compared with the contour independent J-integral. Finally, it is shown that if the selected path limits toward zero, the results of the J-integral, the SERR, and the contour independent J-integral are all the same. This is due to considering the continuously varying of material properties and the effect of fining the mesh at the crack tip.

Keywords

International Journal of Engineering
Volume 29, Issue 12
TRANSACTIONS C: Aspects
December 2016
Pages 1741-1746

Files

Share

How to cite

Statistics