Mechanical and Thermal Analysis of Classical Functionally Graded Coated Beam

Abdolreza Toudehdehghan,Md Mujibur Rahman,Faris Tarlochan,N Mohamed Noor,A.W Azhari

doi:10.1051/e3sconf/20183401033

Abstract

The governing equation of a classical rectangular coated beam made of two layers subjected to thermal and uniformly distributed mechanical loads are derived by using the principle of virtual displacements and based on Euler-Bernoulli deformation beam theory (EBT). The aim of this paper was to analyze the static behavior of clamped-clamped thin coated beam under thermo-mechanical load using MATLAB. Two models were considered for composite coated. The first model was consisting of ceramic layer as a coated and substrate which was metal (HC model). The second model was consisting of Functionally Graded Material (FGM) as a coated layer and metal substrate (FGC model). From the result it was apparent that the superiority of the FGC composite against conventional coated composite has been demonstrated. From the analysis, the stress level throughout the thickness at the interface of the coated beam for the FGC was reduced. Yet, the deflection in return was observed to increase. Therefore, this could cater to various new engineering applications where warrant the utilization of material that has properties that are well-beyond the capabilities of the conventional or yesteryears materials.

Highlights

Graded Materials (FGMs) were initially used as a thermal barrier by Japanese scientists in 1984
In Thermal Barrier Coating (TBC) one-layer ceramic is bonded to the substrate layer
The assumption of position dependent material properties was considered as an exponential function

Summary

Introduction

Graded Materials (FGMs) were initially used as a thermal barrier by Japanese scientists in 1984. Since this kind of materials has been expanded and developed as a heat-resistant material. In FGMs, a combination of materials is changed continuously from high resistance temperature materials such as ceramics on one side to the other side, which has strong mechanical toughness materials, such as metals. In Thermal 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 [9]. The effect of the rectangular clamped-clamped beam under thermal and mechanical loads are investigated

FGMs material properties

Governing equation of beam

Temperature equations of homogeneous layers of beam

Solution to rectangular coated beam

Numerical calculations

Conclusions