Abstract
The present article deals with static and dynamic behavior of functionally graded skew plates based on the three-dimensional theory of elasticity. On the basis of the principle of minimum potential energy and the Rayleigh Ritz method, the equations of motion are derived in conjunction with the graded finite element approach. Solution of the resulted system of equations in time domain is carried out via Newmark's time integration method. Calculations are applied for fully clamped boundary condition. In the present paper, two different sets of distributions for material properties are considered. For the static analysis, material properties are considered to vary through the thickness direction according to an exponential law. In the case of dynamic analysis, variations of the volume fractions through the thickness are assumed to obey a power law function. Thus, the effective material properties at each point are determined by the Mori-Tanaka scheme. In case of dynamic analysis, the results are obtained for uniform step loadings. The effects of material gradient index and skew angle on displacement components and stress response are studied. Results of present formulations are verified by available results of a functionally graded rectangular plate for different boundary conditions and also compared with result of a homogenous skew plate by commercial FEM software.
Highlights
Graded materials (FGMs) stand as a class of novel composite materials in which mechanical properties vary in one, two or even three specific direction(s)
Some benefits assigned to Functionally graded materials (FGMs) that distinguish them from laminated composites are such as removing the delamination mode of failure, reducing thermal stresses, residual stresses and stress concentration effects
This in turn, it is important to study the static and dynamic behaviors of FGM skew plates to obtain the optimum conditions by choosing the appropriate material distribution profile
Summary
Graded materials (FGMs) stand as a class of novel composite materials in which mechanical properties vary in one, two or even three specific direction(s). K. Asemi et al / Dynamic and Static analysis of FGM Skew plates with 3D Elasticity based Graded Finite element Modeling 505 the continuous variation of material properties. Dey et al (2006) investigated the dynamic stability characteristics of supported laminated composite skew plates subjected to a periodic in-plane load using the finite element approach. Asemi et al / Dynamic and Static analysis of FGM Skew plates with 3D Elasticity based Graded Finite element Modeling. Park et al (2008) performed a structural dynamic analysis of skew sandwich plates with laminated composite faces based on high-order shear deformation plate theory (HSDT). Lee (2010) studied the finite element dynamic stability analysis of laminated composite skew structures subjected to in- plane pulsating forces based on the higher-order shear deformation theory (HSDT). The effects of material gradient index and skew angle on static and dynamic behavior of FG skew plates have been investigated
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