3D Numerical Analysis of Cracked Ti-TiB FGM Plate with a Semicircular Notch Subjected to Different Modes Load Conditions

Abstract

This study has been made to determine the performance of the (Ti-TiB) FGM plate to reduce the J-integral calculated for the crack tip emanating from the semicircular notch root in mode I and mixed mode, when the crack is propagated from the notch root. In this paper, 3D finite element method is applied to analyze the behavior of a crack emanating from semicircular notch root growing from the metal (Ti) and is oriented perpendicularly in direction of ceramic (TiB). The J-integral has been found for several combinations laws of FGM plates with respect to the variable combination of the crack length, the plate thickness, the notch radius, Young modulus of FGM plate constituents and the crack orientation. These parameters must be optimized in order to improve the best performances.

Numerical investigation of fracture in double-edge notched FGM plates under tension load

“…In this study the numerical calculation is based on FE using ABAQUS software. The direction of variation of the Young's modulus of the FGM is according to r-FGM (Bouchikhi et al, 2019;Bouida et al, 2018).…”

“…where β is a material constant and r is the coordinate by which the material property changes along the notch radius (r-FGM) (Bouchikhi et al, 2019;Bouida et al, 2018). E is the Young modulus; E 1 the Young modulus at r ¼ R, E 1 and E 2 the Young modulus for ceramic and metal, respectively.…”