Thermal Analysis of 2D FGM Beam Subjected to Thermal Loading Using Meshless Weighted Least‐Square Method

Zhou, Hongmei; Zhang, X. M.; Wang, Z. Y.

doi:10.1155/2019/2541707

Cited by 6 publications

(3 citation statements)

References 32 publications

(50 reference statements)

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“…The response of the FG beam using different models under thermal and thermo-mechanical load is reported by a few researchers like Aboudi et al [3], Chin and Chen [30], Giunta et al [48], Megharbel [66], Sankar and Tzeng [81], etc. The effect of non-linear thermo-mechanical loads on bending behaviour of FG beams is reported by Shen [89], Ma and Lee [63,64], Ma and Wang [65], Esfahani et al [39], Arbind et al [9], Nirmala and Upadhyay [100], etc. Toudehdehghan et al [82] studied the effect of thermal environment on FG coated beams using clamped-clamped end condition.…”

Section: Introductionmentioning

confidence: 82%

Analytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theory

Ghumare

Sayyad

2020

ACM

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A new analytical solution is presented for functionally graded (FG) beams to investigate the bending behaviour under the hygro-thermo-mechanical loading using a new fifth order shear and normal deformation theory (FOSNDT). The material properties of the FG beam are varied along the thickness direction according to the power law index. In the present theory, a polynomial shape function is expanded up to fifth-order in terms of thickness coordinate to consider the effects of transverse shear and normal deformations. The present theory is free from the shear correction factor. Using the Navier's solution technique the closed-form solution is obtained for simply supported FG beams. All the results are presented in non-dimensional form and validated it by developing the classical beam theory (CBT), first order shear deformation theory (FSDT by Mindlin) and third order shear deformation theory (TSDT by Reddy) considering the hygro-thermo-mechanical loading effects which is mostly missing in the literature. It is noticed that the presented FOSNDT is very simple and accurate to predict the bending behaviour of FG beams under linear and non-linear hygro-thermo-mechanical loadings.

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Section: Introductionmentioning

confidence: 82%

Analytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theory

Ghumare

Sayyad

2020

ACM

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“…COMSOL Multiphysics (version 5.2) package was used to find the Eigen frequencies of the beam. Meshless weighted least-square (MWLS) method was extended by Zhou et al [169] to solve the thermoelastic problems of FGM beam with interior heat source, and verified by comparing results with the solution computed from the commercial COMSOL Multiphysics software.…”

Section: Commercial Softwarementioning

confidence: 99%

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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“…Unlike traditional composite materials, the material composition of FGMs changes continuously along one direction without obvious delamination, so the physical properties mutation between different materials can be eliminated easily. FGMs are temperature dependent and usually used in high temperature environment and, moreover, can avoid stress concentration [2], reduce residual stress, and improve bond strength between material layers effectively. erefore, FGMs have been widely applied in many fields nowadays, such as aerospace, medicine, mechanical, and construction engineering, which has high scientific research value and great potential for development [3].…”

Section: Introductionmentioning

confidence: 99%

A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free Thin/Thick Plate Theory

Huang

et al. 2020

Mathematical Problems in Engineering

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A spline finite point method (SFPM) based on a locking-free thin/thick plate theory, which is suitable for analysis of both thick and thin plates, is developed to study nonlinear bending behavior of functionally graded material (FGM) plates with different thickness in thermal environments. In the proposed method, one direction of the plate is discretized with a set of uniformly distributed spline nodes instead of meshes and the other direction is expressed with orthogonal functions determined by the boundary conditions. The displacements of the plate are constructed by the linear combination of orthogonal functions and cubic B-spline interpolation functions with high efficiency for modeling. The locking-free thin/thick plate theory used by the proposed method is based on the first-order shear deformation theory but takes the shear strains and displacements as basic unknowns. The material properties of the FG plate are assumed to vary along the thickness direction following the power function distribution. By comparing with several published research studies based on the finite element method (FEM), the correctness, efficiency, and generality of the new model are validated for rectangular plates. Moreover, uniform and nonlinear temperature rise conditions are discussed, respectively. The effect of the temperature distribution, in-plane temperature force, and elastic foundation on nonlinear bending under different parameters are discussed in detail.

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Thermal Analysis of 2D FGM Beam Subjected to Thermal Loading Using Meshless Weighted Least‐Square Method

Cited by 6 publications

References 32 publications

Analytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theory

Analytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theory

Optimal Design of Functionally Graded Parts

A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free Thin/Thick Plate Theory

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