Abstract
The governing equation of a classical rectangular coated beam made of two homogeneous layers at top ceramic coated layer and bottom metal layer and also single Functionally Graded Material (FGM) as a sub coated layer subjected to uniform distributed mechanical load are derived by using principle of virtual displacements and based on Euler-Bernoulli deformation beam theory (EBT). In FGM layer the material properties are presumed differ as an exponential function form in thickness coordinate. Hence, the aim of this paper is analyzed the static behavior of clamped-clamped thin coated beam under mechanical load.
Highlights
The surface of structures or elements is weaker than the inside of them
One of the mathematical models of material properties was used in a lot of research in order to study fracture mechanics, crack propagation, vibration, and bending, is exponential function [4, 5, 13,14,15,16,17,18,19,20]
The homogeneous ceramic layer with (2 mm) thickness as a coated, Functionally Graded Material (FGM) layer with (2 mm) thickness as an under coated of coated layer and substrate as a homogeneous metal layer with (6 mm) thickness which are located from top to bottom of the model in thickness direction respectively
Summary
The surface of structures or elements is weaker than the inside of them. the coating has been used for decades to increase the resistance of the surface of structures, reduce the stress concentration on the surface and stop cracks which have been generated. The coating thickness usually is depended on the type of material which is used as a substrate layer [1]. Barrier Coating (TBC) one-layer ceramic is bonded to the substrate layer The disadvantage of this type of coating is that due to the use of two completely different materials (ceramic-metal), the concentration of stress between the two layers’ increases, and the two layers are separated [2]. Due to the characteristic of FGM composites, the properties of materials in the composite change very gradually between two different materials. This property makes the separation between the composite layers not present. The effect of the rectangular clamped-clamped beam under distributed load is investigated
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