3D Free Vibration Analysis of Functionally Graded Plates with Arbitrary Boundary Conditions in Thermal Environment

Kang, Rui; Xin, Fengxian; Shen, Cheng; Lu, Tian Jian

doi:10.1002/adem.202100636

Cited by 9 publications

(3 citation statements)

References 36 publications

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“…[ 2 ] Numerous investigations have been conducted to study the static, dynamic, and vibration responses of FG and FGP structural elements, such as beams, shells, and plates subjected to different loading conditions. [ 3–27 ] The impact behavior of FG plates, composed of ceramic and metallic phases, has spurred notable interests among scholars in the recent years. Gunes and Aydin [ 28 ] studied the effects of physical and geometrical parameters on the elastic impact response of FG circular plates and underscored the influence of the volume fraction of constituent components on the contact behavior and damage region characteristics of the plates.…”

Section: Introductionmentioning

confidence: 99%

Low‐Velocity Impact Response Analysis of Functionally Graded Piezoelectric Plates Using Finite‐Element Method and a Two‐Degrees‐of‐Freedom Spring‐Mass Model

2023

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The study focuses on the low‐velocity impact response of functionally graded piezoelectric plates. The effective material properties are determined using the rule of mixture and power law model. The kinematics of the plates is modeled by the first‐order shear deformation theory, and coupled governing equations of the plates are formulated using Hamilton's principle and Maxwell's law. A set of time‐dependent equations, extracted by applying the finite‐element method, is solved by the fourth‐order Runge–Kutta method. A linearized form of Hertz's contact law and a two‐degrees‐of‐freedom spring‐mass system are incorporated to find the contact force under the impact event. Numerical results are verified by comparing with the available literature data. The impact response of the plates constituted of different volume fractions and slenderness ratios in both simply supported and clamped boundary conditions are evaluated under different impact conditions. Based on the results of the present study, it is found that the volume fraction of the piezoelectric components, impact condition, in‐plane dimensions, and the plate slenderness ratio play significant roles in the impact behavior of the plates. Eventually, it is found that the applied electric voltage is not a notable factor in determining the impact response of the plates.

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Section: Introductionmentioning

confidence: 99%

Low‐Velocity Impact Response Analysis of Functionally Graded Piezoelectric Plates Using Finite‐Element Method and a Two‐Degrees‐of‐Freedom Spring‐Mass Model

2023

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“…Kang et al, [ 39 ] studied free vibration of FG plates based on 3D elasticity theory. Material properties of the FG plate were assumed to be temperature dependent and graded along thickness direction.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Temperature, Displacement, and Stress in Shafts Made of Functionally Graded Materials with Various Grading Laws

Gayen

2021

Adv Eng Mater

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The basic understanding of the mechanics of materials, and the development of new and advanced materials have always been a key challenge over the last few decades. Recently, material scientists and engineers have recognized the potential use of innovative materials based on economic and structural performance. Functionally graded materials (FGMs) are highperforming, multifunctional, microscopically heterogeneous advanced engineering materials made of two or more constituent phases with continuous and smooth variation of composition in any predefined direction with different material gradation laws to achieve desired superior thermo-elastic material properties. Historically, Bever and Duwez [1] and Shen and Bever [2] first proposed the concept of gradation in a material composition for composites and polymeric materials in 1972. However, their works had limited impact, probably due to the lack of suitable production methods of FGMs during that time. The first practical application of FGMs was performed by Japanese material scientists to prepare advanced ultrahigh temperature-resistant structural and functional materials in 1984, and later this was reported by Koizumi. [3] FGMs were originally developed specially for aerospace structures and fusion reactors under high operating temperature. Later, applications of FGMs have been expanded widely in engineering fields and modern technology such as high-temperature environments, heat exchanger tubes, components of chemical plants, biomedical implants, and sports.There have been few works reported in literature in the broad area of design of FGMs and analysis of structures made of FGMs. Suresh and Mortensen [4] and Miyamoto et al., [5] reported a comprehensive manufacturing process based on the selection of materials, gradient patterns, and geometry of materials to fabricate FGMs and also discussed its successful applications. Naebe and Shirvanimoghaddam, [6] Markworth et al. [7] and Gupta and Talha [8] reported an overview of material selection, fabrication methods, characterization, modeling, and analysis of FGMs. Birman and Byrd [9] conducted theoretical developments of FGMs with an emphasis of studies on heat transfer issues, stress, stability, dynamic and fracture analyses, manufacturing, design, and applications. Gasik [10] performed a micromechanic study of components made of FGMs by providing the simplest model which estimated the most accurate material properties without using any vast computational methods. Niendorf [11] obtained FG alloys using additive manufacturing techniques such as selective electron beam melting and selective laser melting processes with computer-aided design. Elishakoff et al. [12] studied the manufacturing process and estimation of effective material properties of FGMs, and performed static and dynamic modeling of FG structures with variable material parameters.

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“…This special issue is aimed at further contributing to the understanding of theoretical and applied mechanics of functional materials and structures. It contains 18 accepted articles, including one review, with topics related to piezoelectric [1,2] , ferromagnetic [3,4] , ferroelastic [5] , advanced polymer [6][7][8] or polymer matrix composite [9][10][11][12] , and inhomogeneous [13] or functionally graded [14][15][16][17] materials. All aspects (theoretical, computational and experimental studies) of mechanics, from state-of-the-art fundamental research to applied research and applications in emerging technologies, are included.…”

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confidence: 99%

Special Issue on Theoretical and Applied Mechanics of Functional Materials and Structures

2022

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However, due to the ongoing COVID-19 pandemic, the decision was made to hold the conference via the internet on March 12-15, 2021. The abbreviation of the conference was thus changed from ACMFMS 2020 to ACMFMS 2020þ1. This date also marked ten years since the Tohoku Earthquake (also known as the Great East Japan Earthquake, which occurred at 2:46 pm on March 11, 2011).In order to effectively use limited resources and build a sustainable society, it is necessary to design and develop highly functional materials and structures. Research on theoretical and applied mechanics is very important for increasing the functionality of materials and structures for their safe use. Additionally, solid mechanics is the basis of advanced industrial technology. The aim of ACMFMS 2020þ1 was to disseminate state-of-the-art research on the mechanics of functional materials and structures while encouraging collaboration among multidisciplinary investigators across various diverse scientific disciplines. Despite being held online, the conference was conducive to fostering thoughtful and productive interaction among attendees, especially early career researchers across Asia. Collectively, the discussions at the conference further contributed to our knowledge and fundamental understanding of the mechanics of

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3D Free Vibration Analysis of Functionally Graded Plates with Arbitrary Boundary Conditions in Thermal Environment

Cited by 9 publications

References 36 publications

Low‐Velocity Impact Response Analysis of Functionally Graded Piezoelectric Plates Using Finite‐Element Method and a Two‐Degrees‐of‐Freedom Spring‐Mass Model

Low‐Velocity Impact Response Analysis of Functionally Graded Piezoelectric Plates Using Finite‐Element Method and a Two‐Degrees‐of‐Freedom Spring‐Mass Model

Analysis of Temperature, Displacement, and Stress in Shafts Made of Functionally Graded Materials with Various Grading Laws

Special Issue on Theoretical and Applied Mechanics of Functional Materials and Structures

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