2D Stress Analysis of Functionally Graded Beam Under Static Loading Condition

2014 ◽  
pp. 35-42
Author(s):  
Sandeep S. Pendhari ◽  
Tarun Kant ◽  
Yogesh Desai
Keyword(s):  
Stress Analysis ◽  
Static Loading ◽  
Loading Condition ◽  
Functionally Graded ◽  
Functionally Graded Beam

scholarly journals Deformation and stress analysis of a fuel tank under static loading condition

2020 ◽  
Author(s):  
Saravanan Annamalai ◽  
Suresh Periyakgounder ◽  
Aravindha Balaji Selvaraj ◽  
Kumaravel Paramasivam
Keyword(s):  
Stress Analysis ◽  
Static Loading ◽  
Loading Condition ◽  
Fuel Tank

Large Deflection of Various Functionally Graded Beam Using Shooting Method

2011 ◽  
Vol 110-116 ◽  
pp. 4705-4711 ◽  
Author(s):  
Ali Soleimani
Keyword(s):  
Exact Solution ◽  
Elastic Modulus ◽  
Loading Condition ◽  
Shooting Method ◽  
Large Deflection ◽  
Compliant Mechanisms ◽  
Longitudinal Direction ◽  
Functionally Graded ◽  
Functionally Graded Beam ◽  
Arbitrary Loading

The equation of large deflection of functionally graded beam subjected to arbitrary loading condition is derived. In this work assumed that the elastic modulus varies by exponential and power function in longitudinal direction. The nonlinear derived equation has not exact solution so shooting method has been proposed to solve the nonlinear equation of large deflection. Results are validated with finite element solutions. The method will be useful toward the design of compliant mechanisms driven by smart actuators. Finally the effect of different elastic modulus functions and loading conditions are investigated and discussed.

scholarly journals A Simplified Stress Analysis of Functionally Graded Beams and Influence of Material Function on Deflection

2021 ◽  
Vol 11 (24) ◽  
pp. 11747
Author(s):  
Fadi Althoey ◽  
Elias Ali
Keyword(s):  
Shear Stress ◽  
Stress Analysis ◽  
Elastic Moduli ◽  
Functionally Graded ◽  
Beam Deflection ◽  
Material Function ◽  
Functionally Graded Beam ◽  
Structural Applications ◽  
Beam Thickness ◽  
Fgm Beam

This paper aims at providing a simplified analytical solution for functionally graded beam stress analysis and optimized material gradation on the beam deflection. The power-law (P-FGM) and exponential (E-FGM) material functions were considered for an exact solution of the normal and shear stress distributions across the beam thickness. Optimization of material function on the FGM beam deflection, which is new of its kind, was also investigated considering both simply supported and cantilever beams. It was observed that the non-dimensional normal stress and shear stress are independent of the elastic moduli values of the constituent materials but rather depends on both the ratio of the elastic moduli and the location across the beam thickness in the E-FGM material function model. This observation was first validated from available kinds of literature and through numerical simulation using ABAQUS and extended to the P-FGM stress analysis. The maximum deflection on the FGM beam occurred for a homogenous steel beam while the minimum deflection was observed on the beam with a P-FGM material function. The results of this work demonstrate that if properly designed and optimized, FGMs can provide an alternative material solution in structural applications.

Manufacturing and Measuring Mechanical Properties of Continuous Functionally Graded Beam

2021 ◽  
Vol 21 (2) ◽  
pp. 7-11
Author(s):  
Ahmed Mansoor Abbood ◽  
Haider K. Mehbes ◽  
Abdulkareem. F. Hasan
Keyword(s):  
Mechanical Properties ◽  
Young’S Modulus ◽  
Volume Fraction ◽  
Young's Modulus ◽  
Functionally Graded ◽  
High Concentration ◽  
Functionally Graded Beam ◽  
Low Concentration ◽  
Graded Material ◽  
Vertical Gravity

In this study, glass-filled epoxy functionally graded material (FGM) was prepared by adopting the hand lay-up method. The vertical gravity casting was used to produce a continuous variation in elastic properties. A 30 % volume fraction of glass ingredients that have mean diameter 90 μm was spread in epoxy resin (ρ = 1050 kg/m3). The mechanical properties of FGM were evaluated according to ASTM D638. Experimental results showed that a gradually relationship between Young’s modulus and volume fraction of glass particles, where the value of Young’s modulus at high concentration of glass particles was greater than that at low concentration, while the value of Poisson’s ratio at high concentration of glass particles was lower than that at low concentration. The manufacture of this FG beam is particularly important and useful in order to benefit from it in the field of various fracture tests under dynamic or cyclic loads.

Analytical Solutions for Large Deflections of Functionally Graded Beams Based on Layer-Graded Beam Model

2018 ◽  
Vol 10 (09) ◽  
pp. 1850098 ◽  
Author(s):  
Peng Zhou ◽  
Ying Liu ◽  
Xiaoyan Liang
Keyword(s):  
Intensity Factor ◽  
Analytical Solutions ◽  
Large Deflection ◽  
Yield Criterion ◽  
Functionally Graded ◽  
Beam Model ◽  
Large Deflections ◽  
Transverse Loading ◽  
Functionally Graded Beam ◽  
Gradient Variation

The objective of this paper is to investigate the large deflection of a slender functionally graded beam under the transverse loading. Firstly, by modeling the functionally graded beam as a layered structure with graded yield strength, a unified yield criterion for a functionally graded metallic beam is established. Based on the proposed yielding criteria, analytical solutions (AS) for the large deflections of fully clamped functionally graded beams subjected to transverse loading are formulated. Comparisons between the present solutions with numerical results are made and good agreements are found. The effects of gradient profile and gradient intensity factor on the large deflections of functionally graded beams are discussed in detail. The reliability of the present analytical model is demonstrated, and the larger the gradient variation ratio near the loading surface is, the more accurate the layer-graded beam model will be.

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