Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang, Ning; Khan, Tabreiz Ahmad; Guo, Hongliang; Shi, Shaoshuai; Wei, Zhong; Zhang, Weiwei

doi:10.1155/2019/1354150

Cited by 77 publications

(27 citation statements)

References 200 publications

(253 reference statements)

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“…Functionally graded materials are novel materials whose properties change gradually with respect to their dimensions. These materials have obtained a huge attention due to their graded properties at every single point in various dimensions [ 110 ]. They are used mainly in the sectors such as aerospace, defense, nuclear industry, biomedical and electronics [ 111 ].…”

Section: Trends In Green Compositesmentioning

confidence: 99%

PLA Composites Reinforced with Flax and Jute Fibers—A Review of Recent Trends, Processing Parameters and Mechanical Properties

et al. 2020

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Multiple environmental concerns such as garbage generation, accumulation in disposal systems and recyclability are powerful drivers for the use of many biodegradable materials. Due to the new uses and requests of plastic users, the consumption of biopolymers is increasing day by day. Polylactic Acid (PLA) being one of the most promising biopolymers and researched extensively, it is emerging as a substitute for petroleum-based polymers. Similarly, owing to both environmental and economic benefits, as well as to their technical features, natural fibers are arising as likely replacements to synthetic fibers to reinforce composites for numerous products. This work reviews the current state of the art of PLA compounds reinforced with two of the high strength natural fibers for this application: flax and jute. Flax fibers are the most valuable bast-type fibers and jute is a widely available plant at an economic price across the entire Asian continent. The physical and chemical treatments of the fibers and the production processing of the green composites are exposed before reporting the main achievements of these materials for structural applications. Detailed information is summarized to understand the advances throughout the last decade and to settle the basis of the next generation of flax/jute reinforced PLA composites (200 Maximum).

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Section: Trends In Green Compositesmentioning

confidence: 99%

PLA Composites Reinforced with Flax and Jute Fibers—A Review of Recent Trends, Processing Parameters and Mechanical Properties

et al. 2020

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“…Free vibration and stability analyses of Timoshenko beams with nonuniform cross-sections was studied by Shahba et al [11] by employing an energy based finite element solution. Additionally, several review papers have been published in recent years about the modelling, buckling, stability and vibration characteristics of FGM structures [12,13].…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics of Nonuniform Blades Made of Functionally Graded Material

Kılıç

Sahin

Őzdemir

2021

Eskişehir Technical University Journal of Science and Technology a - Applied Sciences and Engineering

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The purpose of this study is to examine the vibration characteristics of a rotating blade whose material distribution varies in the spanwise direction. Formulations for functionally graded materials and beam structural models are carried out in detail and the results are displayed in several figures and tables which is a significant source of information for the authors working in this area. Different parameters such as angular speed, radius of the hub, material properties, power law index parameter, boundary conditions and slenderness ratio are considered in the formulation. Finite Element Method where the element matrices are obtained from potential and kinetic energy expressions is applied as the solution procedure. Results of the study are validated with open literature in several tables and figures.

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“…The behaviors of FGM plates have attracted research attention. Different reviews [ 2 , 3 , 4 , 5 , 6 ] have provided exhaustive summaries of the studies published on the free vibrations and buckling of FGM plates according to various plate theories and the three-dimensional elasticity theory.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions Based on Fourier Cosine Series for the Free Vibrations of Functionally Graded Material Rectangular Mindlin Plates

Huang

2020

Materials

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This study aimed to develop series analytical solutions based on the Mindlin plate theory for the free vibrations of functionally graded material (FGM) rectangular plates. The material properties of FGM rectangular plates are assumed to vary along their thickness, and the volume fractions of the plate constituents are defined by a simple power-law function. The series solutions consist of the Fourier cosine series and auxiliary functions of polynomials. The series solutions were established by satisfying governing equations and boundary conditions in the expanded space of the Fourier cosine series. The proposed solutions were validated through comprehensive convergence studies on the first six vibration frequencies of square plates under four combinations of boundary conditions and through comparison of the obtained convergent results with those in the literature. The convergence studies indicated that the solutions obtained for different modes could converge from the upper or lower bounds to the exact values or in an oscillatory manner. The present solutions were further employed to determine the first six vibration frequencies of FGM rectangular plates with various aspect ratios, thickness-to-width ratios, distributions of material properties and combinations of boundary conditions.

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Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Cited by 77 publications

References 200 publications

PLA Composites Reinforced with Flax and Jute Fibers—A Review of Recent Trends, Processing Parameters and Mechanical Properties

PLA Composites Reinforced with Flax and Jute Fibers—A Review of Recent Trends, Processing Parameters and Mechanical Properties

Vibration Characteristics of Nonuniform Blades Made of Functionally Graded Material

Analytical Solutions Based on Fourier Cosine Series for the Free Vibrations of Functionally Graded Material Rectangular Mindlin Plates

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