Dynamic stability of reinforced composite cylindrical shells in thermal fields

Birman, Victor; Bert, Charles W.

doi:10.1016/0022-460x(90)90550-j

Cited by 26 publications

(5 citation statements)

References 11 publications

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“…The stress–strain relations taking into account the temperature dependence of plate material properties are defined by Hooke’s law as [10,36,39] and for stiffeners taking into account the temperature [34,39] where ΔT=T-T0 denotes the change in environment temperature from the initial stress-free state; the superscripts “ p ” and “ s ” denote plate and stiffener, respectively; Gsx, Gsy are shear moduli of x -direction and y -direction stiffeners, respectively.…”

Section: Theoretical Formulationsmentioning

confidence: 99%

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Thermomechanical postbuckling analysis of eccentrically stiffened FGM sandwich plates with general Sigmoid and power laws based on TSDT

Dung

Nga

2016

Jnl of Sandwich Structures & Materials

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The buckling and postbuckling behaviors of eccentrically stiffened sandwich plates on elastic foundations subjected to in-plane compressive loads, thermal loads, or thermomechanical loads are presented analytically by using the Reddy’s third-order shear deformation plate theory with von Karman geometrical nonlinearity. Four cases of general Sigmoid and power laws are considered. The material properties of the facesheets, the core layer, and stiffeners are assumed to be temperature-dependent. Theoretical formulations based on the smeared stiffeners technique and third-order shear deformation plate theory are derived. The expressions of thermal parameters are found in the analytical form. Applying the Galerkin method, the expressions for determination of the critical buckling load and analysis of the postbuckling mechanical and thermal load–deflection curves are obtained. The iterative algorithm is presented for the case of temperature-dependent plate material properties. In addition, the influences of thermal element, functionally graded material stiffeners, the facesheet thickness to total thickness ratio, initial imperfection, and foundations are clarified in detail.

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Section: Theoretical Formulationsmentioning

confidence: 99%

“…The stress-strain relations taking into account the temperature dependence of plate material properties are defined by Hooke's law as [10,36,39]…”

Section: Theoretical Formulationsmentioning

confidence: 99%

Thermomechanical postbuckling analysis of eccentrically stiffened FGM sandwich plates with general Sigmoid and power laws based on TSDT

Dung

Nga

2016

Jnl of Sandwich Structures & Materials

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“…The thermoelastic buckling analysis of composite laminated shells has received limited attention in the literature compared to that of isotropic shells and laminated panels [1][2][3]. The available studies on laminated shells are mostly dealing with the stability characteristics of circular cylindrical shells [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. The stability characteristics of laminated composite cylindrical shells under thermal and mechanical loading situations are examined using Semiloof shell finite element [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…The postbuckling analyses of perfect and imperfect, unstiffened and stiffened multi-layered cylindrical shells under thermo-mechanical loading situations have been performed using the von Karman-Donnell theory and employing singular perturbation approach [10][11][12][13][14]. The dynamic effects on the stability characteristics of laminated cylindrical shells arising due to the sudden application of the heat load [15,16] and the presence of periodic time dependent temperature field [17] are also investigated in the literature.…”

Section: Introductionmentioning

confidence: 99%

Thermal Postbuckling Characteristics Of Angle-ply Laminated Truncated Circular Conical Shells

Patel

2023

joast

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Here, the nonlinear thermoelastic pre- and post-buckling characteristics of angle-ply laminated composite conical shells subjected to uniform temperature rise are studied using semi-analytical finite element approach. The finite element formulation is based on first-order shear deformation theory and field consistency principle. The nonlinear governing equations, considering geometric nonlinearity based on von Karman’s assumption for moderately large deformation, are solved using Newton-Raphson iteration procedure coupled with displace- ment control method to trace the prebuckling followed by postbuckling equilibrium path. The presence of asymmetric perturbation in the form of small magnitude load spatially proportional to the linear buckling mode shape is assumed to initiate the bifurcation of the shell deformation. The study is carried out to highlight the influences of semi-cone angle, ply-angles, number of layers and number of circumferential waves on the nonlinear prebuckling/postbuckling thermoelastic response of the laminated circular conical shells. The participation of axisymmetric and asymmetric modes in the total response of the shells is brought out through the deformation shape analysis.

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“…However, the results were mainly presented for isotropic shallow cylindrical shells. Birman and Bert [2] investigated dynamic stability of reinforced composite cylindrical shells subjected to pulsating loads acting in the axial direction and in the presence of a thermal field on the basic of Donnell theory for laminated shells and a linear analysis. They then considered the buckling and postbuckling behaviors of reinforced cylindrical shells subjected to the simultaneous action of a thermal field and an axial loading by using improved version of Donnell theory ignoring the shallowness of cylindrical shells [3].…”

Section: Introductionmentioning

confidence: 99%

Postbuckling of functionally graded cylindrical shells based on improved Donnell equations

2013

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Abstract. This paper presents an analytical approach to investigate the buckling and postbuckling of functionally graded cylindrical shells subjected to axial and transverse mechanical loads incorporating the effects of temperature. Material properties are assumed to be temperature independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium equations for perfect cylindrical shells are derived by using improved Donnell shell theory taking into account geometrical nonlinearity. One-term approximate solution is assumed to satisfy simply supported boundary conditions and closed-form expressions of buckling loads and load-deflection curves are determined by Galerkin method. Analysis shows the effects of material and the geometric parameters, buckling mode, pre-existent axial compressive and thermal loads on the nonlinear response of the shells.

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Dynamic stability of reinforced composite cylindrical shells in thermal fields

Cited by 26 publications

References 11 publications

Thermomechanical postbuckling analysis of eccentrically stiffened FGM sandwich plates with general Sigmoid and power laws based on TSDT

Thermomechanical postbuckling analysis of eccentrically stiffened FGM sandwich plates with general Sigmoid and power laws based on TSDT

Thermal Postbuckling Characteristics Of Angle-ply Laminated Truncated Circular Conical Shells

Postbuckling of functionally graded cylindrical shells based on improved Donnell equations

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