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Materials 2019, 12(3), 404; https://doi.org/10.3390/ma12030404

A New Beam Model for Simulation of the Mechanical Behaviour of Variable Thickness Functionally Graded Material Beams Based on Modified First Order Shear Deformation Theory

1
Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
2
Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
3
Department of Mechanics, Le Quy Don Technical University, Hanoi City 100000, Vietnam
4
Center of Excellence for Automation and Precision Mechanical Engineering, Nguyen Tat Thanh University, Ho Chi Minh City 700000, Vietnam
*
Authors to whom correspondence should be addressed.
Received: 1 January 2019 / Revised: 20 January 2019 / Accepted: 23 January 2019 / Published: 28 January 2019
(This article belongs to the Section Materials Physics)
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Abstract

There are many beam models to simulate the variable thickness functionally graded material (FGM) beam, each model has advantages and disadvantages in computer aided engineering of the mechanical behavior of this beam. In this work, a new model of beam is presented to study the mechanical static bending, free vibration, and buckling behavior of the variable thickness functionally graded material beams. The formulations are based on modified first order shear deformation theory and interpolating polynomials. This new beam model is free of shear-locking for both thick and thin beams, is easy to apply in computation, and has efficiency in simulating the variable thickness beams. The effects of some parameters, such as the power-law material index, degree of non-uniformity index, and the length-to-height ratio, on the mechanical behavior of the variable thickness FGM beam are considered. View Full-Text
Keywords: Model; modified first order shear deformation; variable thickness beam; FGM; finite element method Model; modified first order shear deformation; variable thickness beam; FGM; finite element method
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Nam, V.H.; Vinh, P.V.; Chinh, N.V.; Thom, D.V.; Hong, T.T. A New Beam Model for Simulation of the Mechanical Behaviour of Variable Thickness Functionally Graded Material Beams Based on Modified First Order Shear Deformation Theory. Materials 2019, 12, 404.

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