“…A significant number of mathematical models have been developed for bending, fracture and natural frequency investigation of functionally graded beams, rectangular plates, and shell structures. An extensive review of the work related to functionally graded structures, presented by Byrd [4], Wu et al [5] and Swaminathan et al [6], suggests that in most of the studies through-thickness gradation of properties is considered following deterministic and stochastic frameworks [7][8][9][10][11][12][13][14]. However, over the last few years, the focus is getting diverted toward the in-plane and multidirectional functionally graded structures because it gives more freedom to control the material properties of thin structures for meeting application-specific demands, such as specific stiffness, strength, impact and thermal resistance, high fatigue strength, corrosion resistance, and acoustic properties [5].…”