On Bending Of Functionally Graded Rectangular Plates With DQ Method

Functionally graded material (FGM) is a kind of composite materials that are microscopically inhomogeneous, taking advantage of the merits of constituent materials adequately. By gradually varying the volume fraction of the constituent materials, FGM possesses the gradient in properties eliminates the mismatch of mechanical properties induced by the interface compared with fiber reinforced composite. So, stress on each point is continuous and smooth. Mechanical properties of FGM are superior and believed to be one kind of materials used in high speed spacecraft, nuclear industry and chemical industry in the future. In this paper, we studied the linear bending of homogeneous isotropic rectangular plate, FGM rectangular plate and FGM sandwich rectangular plate using DQM. We assume that the material properties vary as a power form of the thickness coordinate variable z.1. Based on Hamillton principle and classical plate theory, the governing equations were derived and then DQM was employed to numerically solve the resulted differential equations. This study shows that DQM has a very good convergence and can get better numerical results. Under the same dimensionless load, a/h increase as w/h decrease. The plate has more high aspect ration get less deflection.2. Based on Hamillton principle and FPT, the governing equations were derived and then DQM was employed to numerically solve the resulted differential equations. This study shows that DQM has a very good convergence and can get numerical results. Under the same dimensionless load, a/h increase as w/h decrease. The plate has more high aspect ration get less deflection.3. Based on Hamillton principle and third order plate theory, the governing equations were derived and then DQM was employed to numerically solve the resulted differential equations. This study shows that DQM has a very good convergence and can get numerical results. Under the same dimensionless load, a/h increase as w/h decrease. The plate has more high aspect ration get less deflection.4. According to these results, we can get conclusion that deflection of pure ceramic rectangular plate is least owing to its elastic modulus. FGM sandwich rectangular plate is the next. Deflection of FGM rectangular plate is maximum.