Modeling of functionally graded materials to estimate effective thermo-mechanical properties

Madan, Royal; Bhowmick, Shubhankar

doi:10.1108/wje-09-2020-0445

Cited by 22 publications

(17 citation statements)

References 65 publications

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“…Rule of mixture is used for density calculation as given by equation (7), the densities of Ni and Al 2 O 3 were taken as 8,912 Kg/m 3 and 3,690 Kg/m 3 (Madan and Bhowmick, 2021): …”

Section: Materials Grading and Mathematical Formulationmentioning

confidence: 99%

“…To overcome this problem, the Halpin-Tsai method is used, which shows good agreement with experimental data. The other benefit of this method is that it considers the effect of the shape of the particle also (Madan et al , 2019c; Madan and Bhowmick, 2021). The effective Young’s modulus was calculated using the Halpin-Tsai method given by equation (8).…”

Section: Materials Grading and Mathematical Formulationmentioning

confidence: 99%

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A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

Madan

Bhowmick

2021

AEAT

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Purpose The purpose of this study is to investigate Thermo-mechanical limit elastic speed analysis of functionally graded (FG) rotating disks with the temperature-dependent material properties. Three different material models i.e. power law, sigmoid law and exponential law, along with varying disk profiles, namely, uniform thickness, tapered and exponential disk was considered. Design/methodology/approach The methodology adopted was variational principle wherein the solution was obtained by Galerkin’s error minimization principle. The Young’s modulus, coefficient of thermal expansion and yield stress variation were considered temperature-dependent. Findings The study shows a substantial increase in limit speed as disk profiles change from uniform thickness to exponentially varying thickness. At any radius in a disk, the difference in von Mises stress and yield strength shows the remaining stress-bearing capacity of material at that location. Practical implications Rotating disks are irreplaceable components in machinery and are used widely from power transmission assemblies (for example, gas turbine disks in an aircraft) to energy storage devices. During operations, these structures are mainly subjected to a combination of mechanical and thermal loadings. Originality/value The findings of the present study illustrate the best material models and their grading index, desired for the fabrication of uniform, as well as varying FG disks. Finite element analysis has been performed to validate the present study and good agreement between both the methods is seen.

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“…Rule of mixture is used for density calculation as given by equation (7), the densities of Ni and Al 2 O 3 were taken as 8,912 Kg/m 3 and 3,690 Kg/m 3 (Madan and Bhowmick, 2021): …”

Section: Materials Grading and Mathematical Formulationmentioning

confidence: 99%

Section: Materials Grading and Mathematical Formulationmentioning

confidence: 99%

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

Madan

Bhowmick

2021

AEAT

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“…Recently, due to the increased interest in composite structures for industrial applications, the subject of composite materials properties has been thoroughly developed, and a large literature nowadays exists. In several extensive review articles and textbooks, both good overviews of the subject and insight into the significant involved complexities are provided (see, e.g., [24,25,33]). For simple geometries and reasonably simple material properties (e.g., elastic behavior) analytical solutions are often available in terms of volume fractions.…”

Section: Micromechanical Modelsmentioning

confidence: 99%

“…It is worth to note that several other models are covered in the literature, such as the models proposed by Wakashima and Tsukamoto [28], Tamura [29], by Hashin and Shtrikman [30], by Kerner [31] or by Ravichandran [32]. Recently [33], a comparison of various analytical methods with experimental data is graphically made to find out the best suitable micromechanical model. Notwithstanding the above mentioned models generally yield dissimilar estimates (discrepancies of more than 50% may be observed in the case of some volume fractions [6]), they are explicit in terms of phases' volume fractions, offering a possibility to estimate the FGM properties for the whole composition range with a single model.…”

Section: Other Modelsmentioning

confidence: 99%

An Intrinsic Material Tailoring Approach for Functionally Graded Axisymmetric Hollow Bodies Under Plane Elasticity

Abdalla

Casagrande

2021

J Elast

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One of the main requirements in the design of structures made of functionally graded materials is their best response when used in an actual environment. This optimum behaviour may be achieved by searching for the optimal variation of the mechanical and physical properties along which the material compositionally grades. In the works available in the literature, the solution of such an optimization problem usually is obtained by searching for the values of the so called heterogeneity factors (characterizing the expression of the property variations) such that an objective function is minimized. Results, however, do not necessarily guarantee realistic structures and may give rise to unfeasible volume fractions if mapped into a micromechanical model. This paper is motivated by the confidence that a more intrinsic optimization problem should a priori consist in the search for the constituents’ volume fractions rather than tuning parameters for prefixed classes of property variations. Obtaining a solution for such a class of problem requires tools borrowed from dynamic optimization theory. More precisely, herein the so-called Pontryagin Minimum Principle is used, which leads to unexpected results in terms of the derivative of constituents’ volume fractions, regardless of the involved micromechanical model. In particular, along this line of investigation, the optimization problem for axisymmetric bodies subject to internal pressure and for which plane elasticity holds is formulated and analytically solved. The material is assumed to be functionally graded in the radial direction and the goal is to find the gradation that minimizes the maximum equivalent stress. A numerical example on internally pressurized functionally graded cylinders is also performed. The corresponding solution is found to perform better than volume fraction profiles commonly employed in the literature.

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“…Some environment problem could be reduced by using these wastes. Some researchers have developed the prototype of functionally graded material (FGM) and examined its mechanical properties as per the requirements of industries and they also suggest the possible combinations for new materials (Madan and Bhowmick, 2021). Grading indices are indirectly proportional of elastic speed as the aspect ratio.…”

Section: Introductionmentioning

confidence: 99%

Analysis of mechanical properties of Al-based metal matrix composite reinforced with ES and RHA

Yadav

Dwivedi

Islam

et al. 2021

WJE

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Purpose Aluminium metal matrix composite (AMMC) is most popular in various industrial applications such as aerospace, automobile, marine, sports and many others. In common practice, silicon carbide, aluminum oxides, magnesium oxide, graphene and carbon nano tubes are the major reinforcing elements to prepare the AMMC. The purpose of this paper is to develop AMMCs reinforce with eggshell (ES) and rice husk ash (RHA). Design/methodology/approach Stir casting process is used for preparation of AMMC. From past few years, more emphasis is given to prepare the AMMCs using agro waste such as rice husk and/or ES as reinforcing materials. In this method, after the Al-matrix material is melted; it is stirred vigorously to form vortex at the surface of the melt, and the reinforcement material is then introduced at the side of the vortex. Stir casting process is a vortex and vigorous method to prepare the AMMCs. First, aluminum alloy (AA3105) is melted in the furnace when metal is in semisolid form. Reinforcement, i.e. ES and RHA are preheated at temperature 220°C and 260°C, respectively. Findings The result of AMMC shows that the tensile strength and hardness increased by using 22.41% and 45.5%, respectively, at 4.75 Wt.% each reinforcement, i.e. ES and RHA, and 1% Cr. The toughness and ductility of metal matrix composite (MMCs) have decreased up to 23.31% and 19.23% respectively by using 1% Cr, 4.75 wt. % ES and by 4.75 wt. % RHA of composite material. Originality/value In this work, Cr, waste ES and RHA have been used to develop green MMC to support the green revolution as promoted/suggested by United Nations, thus reducing the environmental pollution.

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Modeling of functionally graded materials to estimate effective thermo-mechanical properties

Cited by 22 publications

References 65 publications

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

An Intrinsic Material Tailoring Approach for Functionally Graded Axisymmetric Hollow Bodies Under Plane Elasticity

Analysis of mechanical properties of Al-based metal matrix composite reinforced with ES and RHA

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