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Static Response of Functionally Graded Material Plate under Transverse Load for Varying Aspect Ratio

DOI: 10.1155/2014/980563

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Abstract:

Functionally gradient materials (FGM) are one of the most widely used materials in various applications because of their adaptability to different situations by changing the material constituents as per the requirement. Nowadays it is very easy to tailor the properties to serve specific purposes in functionally gradient material. Most structural components used in the field of engineering can be classified as beams, plates, or shells for analysis purposes. In the present study the power law, sigmoid law and exponential distribution, is considered for the volume fraction distributions of the functionally graded plates. The work includes parametric studies performed by varying volume fraction distributions and aspect ratio. The FGM plate is subjected to transverse UDL (uniformly distributed load) and point load and the response is analysed. 1. Introduction The material property of the FGM can be tailored to accomplish the specific demands in various engineering utilizations to achieve the advantage of the properties of individual material. This is possible due to the material composition of the FGM which changes sequentially in a preferred direction with a predefined function. The thermomechanical deformation of FGM structures has attracted the attention of many researchers in the past few years in various engineering applications which include design of aerospace structures, heat engine components, and nuclear power plants. A huge amount of literature has been published about the thermomechanical analysis of functionally gradient material plate using finite element techniques. A number of approaches have been employed to study the static bending problems of FGM plates. The assessment of thermomechanical deformation behaviour of functionally graded plate structures considerably depends on the plate model kinematics. Praveen and Reddy reported that the response of the plates with material properties between those of the ceramic and metal is not necessarily in between to the responses of the ceramic and metal plates [1]. Reddy reported theoretical formulations and finite element analysis of the thermomechanical, transient response of functionally graded cylinders and plates with nonlinearity [2]. Cheng and Batra developed a solution in closed-form for the functionally graded elliptic plate rigidly clamped at the edges. It was found that the in-plane displacements and transverse shear stresses in a functionally graded plate do not agree with those assumed in classical and shear deformation plate theories [3]. Reddy formulated Navier’s solutions in

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