Buckling analysis of circular functionally graded plate under uniform radial compression including shear deformation with linear and quadratic thickness variation on the Pasternak elastic foundation

Heydari, Abbas; Jalali, Abdolrahim; Nemati, Ali

doi:10.1016/j.apm.2016.09.012

Cited by 26 publications

(10 citation statements)

References 35 publications

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“…ai and Choi [84] proposed a simple refined theory for buckling analysis of FG plates. Results reveal that nondimensional critical buckling load decreases with the increase of power index [78,[85][86][87][88][89][90]. In addition, nondimensional critical buckling load increases with the increase of modulus ratio, aspect ratio [86,87], and thickness ratio [88,[91][92][93] of FG plates.…”

Section: Buckling Analysis Of Fgmmentioning

confidence: 91%

“…e effect of power index of FG porous beam is more prominent if it is varying in axis direction in contrast to thickness direction. Furthermore, nondimensional buckling load decreases as volume fraction increases (Hydri et al and Shafiei and Kazemi [89,112]). Critical buckling load has a direct relation with length scale parameter and an inverse relation with nonlocal parameter.…”

Section: Fgm Beamsmentioning

confidence: 99%

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

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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Section: Buckling Analysis Of Fgmmentioning

confidence: 91%

Section: Fgm Beamsmentioning

confidence: 99%

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

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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“…Classical studies (Bleich, 1952;Timoshenko and Gere, 1961;Murray, 1986;Bazant and Cedolin, 1991) analyzing structures with simple geometry and boundary conditions have shown the considerable effect of the presence of imperfections in the achieved critical loads. Among analytical and semi-analytical approaches to solve robust plate buckling, Heydari et al (2017) solved the buckling of circular functionally graded plates on elastic foundations, providing proper adhesive functions satisfying boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

A conjugate modal force strategy for instability analysis of thin-walled structures: an unconstrained vector positional finite element approach

Soares

Paccola

Coda

2021

Lat. Am. j. solids struct.

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The importance of knowing critical loads and post-critical behavior of thin-walled structures motivates the development of several scientific and practical studies. Most references are concerned with stability analysis for small displacements (first order approach), or with second order stability analyzes, a less precise geometric nonlinear strategy. However, very flexible structures or ones that present small loss of stiffness after the first critical load need more careful analysis. Here we present a shell numerical formulation capable of carrying out stability analysis of thin-walled structures developing large displacements. This formulation uses generalized unconstrained vectors as nodal parameters instead of rotations. To make possible a complete stability analysis using unconstrained vectors, we present an original strategy that imposes a Conjugate Modal Force at the vicinity of critical points, allowing an accurate choice of post-critical paths. Non-conservative forces are also considered and results are compared with literature benchmarks, demonstrating the accuracy and capacity of the proposed formulation.

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“…In the last decade, they are commonly used in applications of construction, aerospace, energy absorption or even in biomedical sectors [26] . Many theoretical researches on the macroscopical characteristics of FG materials have been carried out based on the classical continuum mechanics [6,21,22] .…”

Section: Introductionmentioning

confidence: 99%

Modeling size-dependent behaviors of axially functionally graded Bernoulli-Euler micro-beam

Wang¹,

Kang²,

Zhou³

et al. 2020

Mech. Eng. Sci.

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This work focus on the mechanical behaviors, which are related to the size effect, functionally graded (FG) effect and Poisson effect, of an axially functionally graded (AFG) micro-beam whose elastic modulus varies according to sinusoidal law along its axial direction. The displacement field of the AFG micro-beam is set according to the Bernoulli-Euler beam theory. Employing the modified couple stress theory (MCST), the components of strain, curvature, stress and couple stress are expressed by the second derivative of the deflection of the AFG micro-beam. A size-dependent model related to FG effect and Poisson effect, which includes the formulations of bending stiffness, deflection, normal stress and couple stress, is developed to predict the mechanical behaviors of the AFG micro-beam by employing the principle of minimum potential energy. The mechanical behaviors of a simply supported AFG micro-beam are numerically investigated using the developed model for demonstrating the size effects, FG effects and Poisson effects of the AFG micro-beam. Results show that the mechanical behaviors of AFG micro-beams are distinctly size-dependent only when the ratio of micro-beam height to material length-scale parameter is small enough. The FG parameter is an important factor that determines and regulates the size-dependent behaviors of AFG micro-beams. The influences of Poisson’s ratio on the mechanical behaviors of AFG micro-beams are not negligible, and should be also considered in the design and analysis of an AFG micro-beam. This work supplies a theoretical basis and a technical reference for the design and analysis of AFG micro-beams in the related regions.

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Buckling analysis of circular functionally graded plate under uniform radial compression including shear deformation with linear and quadratic thickness variation on the Pasternak elastic foundation

Cited by 26 publications

References 35 publications

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

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

A conjugate modal force strategy for instability analysis of thin-walled structures: an unconstrained vector positional finite element approach

Modeling size-dependent behaviors of axially functionally graded Bernoulli-Euler micro-beam

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