Thermal Buckling of Imperfect Functionally Graded Cylindrical Shells Based on the Wan–Donnell Model

Mirzavand, Babak; Eslami, M. R.

doi:10.1080/01495730500257409

Cited by 42 publications

(17 citation statements)

References 20 publications

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“…The stability equations of FGM cylindrical shell may be obtained by the application of the minimum potential energy criterion, and are [Mirzavand and Eslami 2006]…”

Section: Discussionmentioning

confidence: 99%

“…The compatibility equation in terms of the Airy stress function and the lateral displacement component w 1 is [Mirzavand and Eslami 2006] …”

Section: Discussionmentioning

confidence: 99%

“…The Poisson's ratio ν is considered to be constant across the thickness. The force and moment resultants are [Mirzavand and Eslami 2006]…”

Section: Fundamental Equationsmentioning

confidence: 99%

“…The equilibrium equations of a perfect FGM cylindrical shell may be derived on the basis of the stationary potential energy criterion, and are given by [Mirzavand and Eslami 2006] R N x,x + N xθ,θ = 0,…”

Section: Fundamental Equationsmentioning

confidence: 99%

“…[Woo et al 2003;Woo et al 2005] presented thermomechanical postbuckling analysis of functionally graded plates and shallow cylindrical shells based on the classical and higher order shell theories. [Mirzavand et al 2005;Mirzavand and Eslami 2006] studied the thermal buckling of imperfect FGM cylindrical shells, under several types of loadings based on the Koiter and Wan-Donnell geometrical imperfection models. Also buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition is investigated by [Kadoli and Ganesan 2006].…”

Section: Introductionmentioning

confidence: 99%

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Thermoelastic stability analysis of imperfect functionally graded cylindrical shells

Mirzavand

Eslami

2008

JOMMS

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Elastic buckling analysis of imperfect FGM cylindrical shells under axial compression in thermal environments is carried out, using two different models for geometrical imperfections. The material properties of the functionally graded shell are assumed to vary continuously through the thickness of the shell according to a power law distribution of the volume fraction of the constituent materials, also temperature dependency of the material properties is considered. Derivation of equations is based on classical shell theory using the Sanders nonlinear kinematic relations. The stability and compatibility equations for the imperfect FGM cylindrical shell are obtained, and the buckling analysis of shell is carried out using Galerkin's method. The novelty of the present work is to obtain closed form solutions for critical buckling loads of the imperfect FGM cylindrical shells, which may be easily used in engineering design applications. The effects of shell geometry, volume fraction exponent, magnitude of initial imperfections, and environment temperature on the buckling load are investigated. The results reveal that initial geometrical imperfections and temperature dependency of the material properties play major roles in dictating the bifurcation point of the functionally graded cylindrical shells under the action of axial compressive loads. Also results show that for a particular value of environment temperature, critical buckling load is almost independent of volume fraction exponent.

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“…The stability equations of FGM cylindrical shell may be obtained by the application of the minimum potential energy criterion, and are [Mirzavand and Eslami 2006]…”

Section: Discussionmentioning

confidence: 99%

“…The compatibility equation in terms of the Airy stress function and the lateral displacement component w 1 is [Mirzavand and Eslami 2006] …”

Section: Discussionmentioning

confidence: 99%

“…The Poisson's ratio ν is considered to be constant across the thickness. The force and moment resultants are [Mirzavand and Eslami 2006]…”

Section: Fundamental Equationsmentioning

confidence: 99%

Section: Fundamental Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermoelastic stability analysis of imperfect functionally graded cylindrical shells

Mirzavand

Eslami

2008

JOMMS

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Nonlinear stability analysis of functionally graded shells using the invariant‐based triangular finite element

Levyakov

Kuznetsov

2013

Z Angew Math Mech

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The paper discusses a finite‐element approach for nonlinear analysis of thermal buckling and postbuckling behaviors of plates and shells fabricated of functionally graded materials. The triangular finite‐element is formulated using representation of the strain energy as a function of invariants of the membrane, bending, and transverse shear strains. The invariants are expressed in terms of the strain tensor components determined in the direction of the element edges, which provides some computational benefits. Numerical examples are given to demonstrate the application of the finite element in the investigation of nonlinear deformation and stability of functionally graded plates and shells with temperature dependent properties.

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Buckling of Circular Cylindrical Shells

Eslami

2017

Buckling and Postbuckling of Beams, Plates, and Shells

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Thermal Buckling of Imperfect Functionally Graded Cylindrical Shells Based on the Wan–Donnell Model

Cited by 42 publications

References 20 publications

Thermoelastic stability analysis of imperfect functionally graded cylindrical shells

Thermoelastic stability analysis of imperfect functionally graded cylindrical shells

Nonlinear stability analysis of functionally graded shells using the invariant‐based triangular finite element

Buckling of Circular Cylindrical Shells

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