Thermal postbuckling analysis of anisotropic laminated beams with different boundary conditions resting on two-parameter elastic foundations

Li, Zhimin; Qiao, Pizhong

doi:10.1016/j.euromechsol.2015.06.001

Cited by 21 publications

(12 citation statements)

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“…The material properties of orthotropic laminated plate is a function of temperature (T) as follows (Shen [67]; Li and Qiao [68]).…”

Section: Theory and Formulationsmentioning

confidence: 99%

“…Sayyad et al [39,40] solved thermoelastic analysis of laminated plates under thermal loading. Li and Qiao [41,42] examined thermal postbuckling analysis of laminated composite beams under thermal loading. Akbaş [43] examined a nano-plate by using generalized differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

“…Yüksel and Akbaş [53] investigated the stress analysis of a laminated composite plate under temperature rising. Also, many researchers investigated vibration, buckling, post-buckling analysis of nano composites, functionally graded composite structures in thermal and mechanical loads [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73].…”

Section: Introductionmentioning

confidence: 99%

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Free Vibration Analysis of a Cross-Ply Laminated Plate in Thermal Environment

Yüksel¹,

Akbaş²

2018

International Journal of Engineering and Applied Sciences

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This paper presents free vibration analysis of a cross-ply laminated plate under temperature rising with considering temperature-dependent physically properties. Material properties of laminas are orthotropic and temperature-dependent. In the kinematic model of the plate, first-order shear deformation plate theory is used. In solution method, the Navier procedure is used for a simply supported plate. The vibration frequencies of the laminated plate are obtained and discussed for different values of temperature, sequence of laminas and orientation angle of layers. Also, the difference between temperature dependent and independent physical properties is investigated.

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“…The material properties of orthotropic laminated plate is a function of temperature (T) as follows (Shen [67]; Li and Qiao [68]).…”

Section: Theory and Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Free Vibration Analysis of a Cross-Ply Laminated Plate in Thermal Environment

Yüksel¹,

Akbaş²

2018

International Journal of Engineering and Applied Sciences

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“…Yaghoobi et al also utilized the nonlinear elastic foundation under thermo-mechanical loading. Similarly Li and Batra [37] and Li and Qiao [38] utilized the nonlinear/linear foundation for the buckling analysis of Euler's Bernoulli beam and anisotropic beam respectively. Li and Song [39] performed the large thermal deflection analysis of Timoshenko beam experiencing nonuniform temperature rise.…”

Section: Introductionmentioning

confidence: 99%

Thermo-Mechanical Post Buckling Analysis of Multiwall Carbon Nanotube-Reinforced Composite Laminated Beam under Elastic Foundation

Lal

Markad

2019

Curved and Layered Structures

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In present paper, buckling analysis is performed over laminated composite beam incorporating multi walled carbon nanotube (MWCNT) polymer matrix and then reinforced with E-glass fiber in an orthotropic manner under inplane varying thermal and mechanical loads by finite element method (FEM). Aim of the study is to develop a model which accurately perform the buckling deterministic analysis of multi-walled carbon nanotube reinforced composite laminated beam (MWCNTRCLB) with the evaluation of material property by applying Halpin–Tsai model. Combined Higher order shear deformation theory and Pasternak elastic foundation based on von Karman nonlinear kinematics and Winkler cubic nonlinearity respectively, are successfully implemented. Through minimum potential energy principle, generalized static analysis is performed using FEM, based on interactive MATLAB coding. The critical buckling load and critical buckling temperature is presented under the action of inplane variable mechanical and thermal load, with different boundary conditions, beam thickness ratio and MWCNT aspect ratio, variation with MWCNT volume fraction and coefficient of thermal expansion, with and without foundation for linear and nonlinear cases.

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“…The transverse shear strain was here obtained by using a cosine function avoiding the use of shear correction factors and ensuring the interlaminar continuity conditions on the interfaces between layers. Furthermore, Li and Qiao [28] extended the Reddy's high-order shear deformation beam theory with a von Kármán-type of kinematic nonlinearity for thermal post-buckling analysis of anisotropic laminated beams with different boundary conditions resting on two-parameter elastic foundations. In a work of the same authors [29] and in [30], the same formulation was also utilized for the analysis of beams with initial imperfections and composite tubular structures.…”

Section: Introductionmentioning

confidence: 99%

Large-deflection and post-buckling analyses of laminated composite beams by Carrera Unified Formulation

Pagani

Carrera

2017

Composite Structures

143

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The Carrera Unified Formulation (CUF) was recently extended to deal with the geometric nonlinear analysis of solid cross-section and thin-walled metallic beams [1]. The promising results provided enough confidence for exploring the capabilities of that methodology when dealing with large displacements and post-buckling response of composite laminated beams, which is the subject of the present work. Accordingly, by employing CUF, governing nonlinear equations of low-to higher-order beam theories for laminated beams are expressed in this paper as degenerated cases of the three-dimensional elasticity equilibrium via an appropriate index notation. In detail, although the provided equations are valid for any one-dimensional structural theory in a unified sense, layer-wise kinematics are employed in this paper through the use of Lagrange polynomial expansions of the primary mechanical variables. The principle of virtual work and a finite element approximation are used to formulate the governing equations in a total Lagrangian manner, whereas a Newton-Raphson linearization scheme along with a path-following method based on the arc-length constraint is employed to solve the geometrically nonlinear problem. Several numerical assessments are proposed, including post-buckling of symmetric cross-ply beams and large displacement analysis of asymmetric laminates under flexural and compression loadings. the comprehensive review works by Carrera [2] and Kapania and Raciti [3,4], respectively. Nevertheless, among the fundamental topics in structural mechanics, the geometrical nonlinear analysis of elastic structures holds a relevant importance. It is a matter of fact that the effects of large displacements and rotations may play a primary role in the correct prediction, for example, of flexible beams, which continue to be employed for wing structures, space antennas, rotor blades, and robotic arms. The literature about this argument is large, and a detailed discussion on nonlinear formulations of composite structures falls outside the scope of this work. However, some relevant papers on nonlinear beam models are briefly outlined hereinafter for the sake of completeness.It is well known that for thin and solid cross-section beam structures, a good model for geometrically nonlinear analysis is represented by the so-called elastica [5,6,7]. The elastica beam addresses flexural problems by assuming the local curvature as proportional to the bending moment, according to the classical Euler-Bernoulli beam theory [8]. This assumption, of course, is too limiting for the analysis of composite structures, for which the shear effects may considerably alter the solution accuracy. For this reason, many works in the literature are based on the Timoshenko beam theory [9], which assumes a uniform shear distribution along the cross-section of the beam. In the domain of nonlinear analysis of metallic beams, this theory was extensively exploited; see for example the pioneering work of Reissner [10], who considered the effect of transverse force str...

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Thermal postbuckling analysis of anisotropic laminated beams with different boundary conditions resting on two-parameter elastic foundations

Cited by 21 publications

References 50 publications

Free Vibration Analysis of a Cross-Ply Laminated Plate in Thermal Environment

Free Vibration Analysis of a Cross-Ply Laminated Plate in Thermal Environment

Thermo-Mechanical Post Buckling Analysis of Multiwall Carbon Nanotube-Reinforced Composite Laminated Beam under Elastic Foundation

Large-deflection and post-buckling analyses of laminated composite beams by Carrera Unified Formulation

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