FGM activities in Japan

Koizumi, M.

doi:10.1016/s1359-8368(96)00016-9

Cited by 1,404 publications

(499 citation statements)

References 2 publications

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“…Effects of buckling mode on σ 0x − f 2 curves results describe the relationship σ 0x − f 2 when the buckling mode is changed. As can be observed, the smallest value σ 0xcr = 79.0409MPa corresponds to (m, n) = (1,6). This result is in very good agreement with the one of Huang (σ cr = 79.10MPa with buckling mode (m, n) = (1, 6)) obtained by other method.…”

Section: Numerical Calculations and Discussionsupporting

confidence: 89%

“…From Table 4, we see that in both cases the buckling load is the smallest one when (m, n) = (1,6). This result also is very near to the result of Problem 1.…”

Section: As Shown In Thesupporting

confidence: 58%

“…The structures made of functionally graded materials (FGMs) including cylindrical shell structure play an important role in modern industries [1]. Therefore, the research on strength and stability of FGM cylindrical shells are interested very much by scientists.…”

Section: Introductionmentioning

confidence: 99%

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Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin's method

Dung

Hoa

2012

Vietnam J. Mech.

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Abstract. This paper presents an analytical approach to analyze the nonlinear stability of thin closed circular cylindrical shells under axial compression with material properties varying smoothly along the thickness in the power and exponential distribution laws. Equilibrium and compatibility equations are obtained by using Donnel shell theory taking into account the geometrical nonlinearity in von Karman and initial geometrical imperfection. Equations to find the critical load and the load-deflection curve are established by Galerkin's method. Effects of buckling modes, of imperfection, of dimensional parameters and of volume fraction indexes to buckling loads and postbuckling load-deflection curves of cylindrical shells are investigated. In case of perfect cylindrical shell, the present results coincide with the ones of the paper [13] which were solved by Ritz energy method.

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Section: Numerical Calculations and Discussionsupporting

confidence: 89%

“…From Table 4, we see that in both cases the buckling load is the smallest one when (m, n) = (1,6). This result also is very near to the result of Problem 1.…”

Section: As Shown In Thesupporting

confidence: 58%

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Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin's method

Dung

Hoa

2012

Vietnam J. Mech.

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“…Development in FG material and its applications can be found in the literature by Koizumi (1993Koizumi ( , 1997, Muller et al (2003) and Byrd (2006, 2007). Rasheedat et al (2012) discussed the various processing techniques and interdisciplinary applications of FGM.…”

Section: Latin American Journal Of Solids and Structures 14 (2017) 18mentioning

confidence: 99%

A New Fifth-Order Shear and Normal Deformation Theory for Static Bending and Elastic Buckling of P-FGM Beams

Ghumare

Sayyad

2017

Lat. Am. j. solids struct.

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A new fifth-order shear and normal deformation theory (FOSNDT) is developed for the static bending and elastic buckling analysis of functionally graded beams. The properties of functionally graded material are assumed to vary through the thickness direction according to power-law distribution (P-FGM). The most important feature of the present theory is that it includes the effects of transverse shear and normal deformations. Axial and transverse displacements involve polynomial shape functions to include the effects of transverse shear and normal deformations. A polynomial shape function expanded up to fifth-order in terms of the thickness coordinate is used to account for the effects of transverse shear and normal deformations. The kinematics of the present theory is based on six independent field variables. The theory satisfies the traction free boundary conditions at top and bottom surfaces of the beam without using problem dependent shear correction factor. The closed-form solutions of simply supported FG beams are obtained using Navier's solution procedure and non-dimensional results are compared with those obtained by using classical beam theory, first order shear deformation theory and other higher order shear deformation theories. It is concluded that the present theory is accurate and efficient in predicting the bending and buckling responses of functionally graded beams.

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“…Since it was invented by Japanese scientists in 1984 [1], functionally graded materials (FGMs) are increasingly and widely used in many fields, such as aerospace, marine, mechanical, and structural engineering due to its advantages compared to classical fiberreinforced laminated composites. The typical FGMs composed of ceramic and metal materials.…”

Section: Introductionmentioning

confidence: 99%

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

Quoc

Tú

Long³

2016

JST

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In this paper, a new eight-unknown shear deformation theory is developed for bending and free vibration analysis of functionally graded plates by finite element method. The theory based on full twelve-unknown higher order shear deformation theory, simultaneously satisfy zeros transverse stresses at top and bottom surface of FG plates. A four-node rectangular element with sixteen degrees of freedom per node is used. Poisson's ratios, Young's moduli and material densities vary continuously in thickness direction according to the volume fraction of constituents which is modeled as power law functions. Results are verified with available results in the literature. Parametric studies are performed for different power law index, side-tothickness ratios.

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FGM activities in Japan

Cited by 1,404 publications

References 2 publications

Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin's method

Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin's method

A New Fifth-Order Shear and Normal Deformation Theory for Static Bending and Elastic Buckling of P-FGM Beams

Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

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