“…The newly derived weight functions of the surface, deepest and general points within the range of 0.2 ≤ a / c ≤ 1.0 and 0.1 ≤ a / t ≤ 0.8 are validated by comparing the analytical solutions in this study with the FE results for parabolic or cubic stress distributions, where a / c denotes the aspect ratio and a / t represents the crack depth ratio. The existing numerical results show that the crack length c , crack depth a and crack-tip location have a significant impact on the analysis results of crack problems [ 13 , 14 ]; therefore, a wide range of a / c (0.2, 0.4, 0.6, 0.8, 1.0) and a / t (0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8) are assigned in FE models. According to reference [ 15 ], the condition of h / c = w / c 4 and t equal to a constant is defined in FE simulations, where h , t and w denote the half height, thickness and half width of the FG plate, respectively.…”