Two-Dimensional Optimization of Functionally Graded Material Plates Subjected to Buckling Constraints

Hussien, O.F.; Mulani, Sameer B.

doi:10.2514/6.2017-1546

Cited by 5 publications

(3 citation statements)

References 26 publications

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“…They developed finite element formulation for geometric and material optimization of thin-walled FG beams for buckling problems. Hussein and Mulani [171] optimized the volume fraction of thin plates subjected to buckling constraints using classical plate theory and finite element approach.…”

Section: Indigenously-developed Codesmentioning

confidence: 99%

“…Many strategies have been proposed for the optimization of material distribution in FGMs, thus far. Sequential quadratic programming (SQP) method [41] has received considerable attention in material distribution optimization of FG structures (e.g., [77,90,171,[175][176][177]). Gradient-based approaches, including SQP, rapidly converge to optimal solution, but are often trapped at local optimal solutions.…”

Section: Optimization Algorithmsmentioning

confidence: 99%

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Optimal Design of Functionally Graded Parts

Nayak

Armani

2022

Metals

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Several additive manufacturing processes are capable of fabricating three-dimensional parts with complex distribution of material composition to achieve desired local properties and functions. This unique advantage could be exploited by developing and implementing methodologies capable of optimizing the distribution of material composition for one-, two-, and three-dimensional parts. This paper is the first effort to review the research works on developing these methods. The underlying components (i.e., building blocks) in all of these methods include the homogenization approach, material representation technique, finite element analysis approach, and the choice of optimization algorithm. The overall performance of each method mainly depends on these components and how they work together. For instance, if a simple one-dimensional analytical equation is used to represent the material composition distribution, the finite element analysis and optimization would be straightforward, but it does not have the versatility of a method which uses an advanced representation technique. In this paper, evolution of these methods is followed; noteworthy homogenization approaches, representation techniques, finite element analysis approaches, and optimization algorithms used/developed in these studies are described; and most powerful design methods are identified, explained, and compared against each other. Also, manufacturing techniques, capable of producing functionally graded materials with complex material distribution, are reviewed; and future research directions are discussed.

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Section: Indigenously-developed Codesmentioning

confidence: 99%

Section: Optimization Algorithmsmentioning

confidence: 99%

Optimal Design of Functionally Graded Parts

Nayak

Armani

2022

Metals

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show abstract

“…The first aspect in this part is the dimensionality of FGP, which refers to the number of dimensions through which properties variation occurs. Composition variation happens through the thickness, or the in-plane two dimensions [51,52] as shown in Fig. 3.…”

Section: Fgp's Fgm Characteristicsmentioning

confidence: 99%

A Review on Buckling Analysis of Functionally Graded Plates Under Thermo-Mechanical Loads

Hassan

Kurgan

2019

International Journal of Engineering and Applied Sciences

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Functionally graded materials (FGM) are increasingly used in the engineering field. In many applications, FGMs are modelled as plates. Plates made of functionally graded materials (FGPs) are mostly designed to perform under elevated temperatures. In those circumstances, they are often under the combined effect of thermal and mechanical loads. There have been many studies on buckling analysis of FGP under either mechanical or thermal loads; however, only a few studies have addressed the combined effect of both loads acting together. This article focuses on the review of research on buckling analysis of FGP under the combined thermal and mechanical loads.

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Deterministic and peridynamic operator-based uncertain nonlinear aeroelastic analyses of in-plane functionally graded panels with elastic boundary supports and yawed supersonic flow

Hussein

2024

J Braz. Soc. Mech. Sci. Eng.

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Two-Dimensional Optimization of Functionally Graded Material Plates Subjected to Buckling Constraints

Cited by 5 publications

References 26 publications

Optimal Design of Functionally Graded Parts

Optimal Design of Functionally Graded Parts

A Review on Buckling Analysis of Functionally Graded Plates Under Thermo-Mechanical Loads

Deterministic and peridynamic operator-based uncertain nonlinear aeroelastic analyses of in-plane functionally graded panels with elastic boundary supports and yawed supersonic flow

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