Thermomechanical buckling oftemperature-dependent FGM beams

Kiani, Y.; Eslami, M. R.

doi:10.1590/s1679-78252013000200001

Cited by 61 publications

(25 citation statements)

References 21 publications

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“…The term static stability, here, is used for both linear stability analysis which results in bifurcation detection and non-linear stability which yields the load-deflection equilibrium path. In linear buckling analysis of FGM beams, Kiani and Eslami [1,2] evaluated the thermal bifurcation loads of slender and moderately thick through-the-thickness FGM beams. Eigenvalue solution of linearized stability equations is solved to detect the non-trivial states associated to bifurcation type of buckling.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Nonlinear thermal dynamic buckling of FGM beams

Ghiasian

Kiani

Eslami

2015

European Journal of Mechanics - A/Solids

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Section: Accepted Manuscriptmentioning

confidence: 99%

Nonlinear thermal dynamic buckling of FGM beams

Ghiasian

Kiani

Eslami

2015

European Journal of Mechanics - A/Solids

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“…Among these components, tube is one of the most important and frequently used structural components in many industries. Fig.1 shows some potential fields for functionally graded materials as well as tubes application (Hosseini et al, 2017;Jha et al, 2013;Zhang et al, 2014;Kiani and Eslami, 2013;Kakar, 2013;Djamaluddin et al 2015;Huang et al 2016;Adeli et al 2017;Hadi et al 2018;Shishesaz et al 2017). For efficient use of such components, it is necessary to study its mechanical behaviors like vibration, buckling and bending.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method

Gao

Xiao

Zhu

2019

Lat. Am. j. solids struct.

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Free vibration of a bimaterial circular nano-tube is investigated. The tube is formed by bonding together a Si3N4/SUS304 functionally graded upper semi tube and a ZrO2/Ti-6Al-4V functionally graded lower semi tube. The material properties of the tube are assumed to vary along the radius according to power law with the power index of upper semi tube differing from that of lower semi tube. Based on non-local elasticity theory and Hamilton's principle, a refined beam model considering the effect of transverse shear deformation is used to derive the governing equations, then analytical solution is obtained by using a two-steps perturbation method. Our results were compared with the existing ones. The effects on tube's linear and non-linear frequency are analyzed of the factors, including small scale parameter, temperature, the double volume fraction indexes, slenderness ratio and different types of beam model. A new approach is suggested in this article to change the natural frequency of the tubes by adjusting constituent materials. In contrast to conventional approach, the new one can result in more accurate frequency control in the same dimensionless size of tubes.

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“…In some analyses, it is assumed that the displacements of the arch are limited to avoid a material failure (Pippard, 1990;Xu et al, 2002;Chen and Hung, 2012). In addition, the variation in the environment temperature can be influential on the stability of structures (Matsunaga, 1996;Hung and Chen, 2012;Stanciulescu et al, 2012;Kiani and Eslami, 2013).…”

Section: Introductionmentioning

confidence: 99%

Stability of a half-sine shallow arch under sinusoidal and step loads in thermal environment

Saghafi-Nik

Moghaddasie

2018

Lat. Am. j. solids struct.

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The complex structural behavior of shallow arches can be remarkably affected by many parameters. In this paper, the structural responses of a half-sine pin-ended shallow arch under sinusoidal and step loadings are accurately calculated. Additionally, the effects of environmental temperature changes are considered. Three types of sinusoidal loadings are separately investigated. Displacements, load-bearing capacity, the magnitude of the axial force and the locus of critical points (including limit and bifurcation points) are directly obtained without tracing the corresponding equilibrium path. Furthermore, the boundaries identifying the number of critical points are investigated. All mentioned structural responses are formulized based on the rise of the arch and the environmental temperature change, which are introduced in a dimensionless form. The proposed formulation is also developed for generalized sinusoidal loadings. Additionally, the structural behavior of the shallow arch under two types of step loadings is investigated. Finally, the accuracy of the suggested approach is examined by a non-linear finite element method.

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Thermomechanical buckling oftemperature-dependent FGM beams

Cited by 61 publications

References 21 publications

Nonlinear thermal dynamic buckling of FGM beams

Nonlinear thermal dynamic buckling of FGM beams

Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method

Stability of a half-sine shallow arch under sinusoidal and step loads in thermal environment

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