Temperature-dependent nonlinear behaviour of thin rectangular plates exposed to through-depth thermal gradients

Khazaeinejad, P.; Usmani, Asif; Laghrouche, Omar

doi:10.1016/j.compstruct.2015.05.051

Cited by 5 publications

(7 citation statements)

References 25 publications

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“…The model seems to work significantly better for smaller curvatures than for larger curvatures. [40]. It can also be seen from the figures that the general stress patterns predicted by the proposed approach match quite well with those predicted by the ABAQUS.…”

Section: Isotropic Shallow Shellssupporting

confidence: 70%

“…The following expression which lies between the prediction of both the Eurocode [50] and Australian Standard [51] is assumed for the elastic modulus of concrete [40]…”

Section: Fg Shallow Shellsmentioning

confidence: 99%

“…where E 0 is the elastic modulus of the concrete at ambient temperature ( of thermal expansion of the concrete, the following expression is taken [40] α(θ, z) =    9 × 10 −6 + 6.9 × 10 −11 θ 2 , 20…”

Section: Fg Shallow Shellsmentioning

confidence: 99%

“…In most composite shell analyses, spatially varying material properties are not employed and the analysis has been often limited to temperature sensitive material properties. Hence, in the present paper, the formulation by Khazaeinejad et al [40] is extended to account for the temperature-dependent nonlinear response of shallow shells with single and double curvatures on a rectangular planform. A shallow shell is subjected to a transverse mechanical load while it is exposed to through-depth non-uniform temperature profiles.…”

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confidence: 99%

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Temperature-dependent nonlinear analysis of shallow shells: A theoretical approach

Khazaeinejad

Usmani

2016

Composite Structures

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The paper presents a theoretical formulation for the computation of temperaturedependent nonlinear response of shallow shells with single and double curvatures subjected to transverse mechanical loads while being exposed to through-depth non-uniform heating regimes such as those resulting from a fire. The material nonlinearity arises from taking into consideration the degradation of the material elastic behaviour at elevated temperatures under quasi-static conditions. Two types of boundary conditions are considered, both of which constrain the transverse deflections and allow the rotations about the edge axis to be free. One of the boundary conditions permits lateral translation (laterally unrestrained) and the other one does not (laterally restrained). A number of examples are solved for shallow shells under different types of loading conditions including: an exponential "short hot" fire leading to a high temperature over a relatively short duration; and an exponential "long cool" fire of lower temperature over a longer duration. The limits of the shallow shell equations are investigated through comparison studies. Results show that while current numerical approaches for analysis of laterally restrained shallow shells are often computationally intensive, the proposed approach offers an adequate level of accuracy with a rapid convergence rate for such structures.

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Section: Isotropic Shallow Shellssupporting

confidence: 70%

“…The following expression which lies between the prediction of both the Eurocode [50] and Australian Standard [51] is assumed for the elastic modulus of concrete [40]…”

Section: Fg Shallow Shellsmentioning

confidence: 99%

Section: Fg Shallow Shellsmentioning

confidence: 99%

mentioning

confidence: 99%

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Temperature-dependent nonlinear analysis of shallow shells: A theoretical approach

Khazaeinejad

Usmani

2016

Composite Structures

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“…Yang et al [37] dealt with the thermomechanical postbuckling analysis of FGM cylindrical panels with temperature-dependent properties. Khazaeinejad et al [38] investigated the temperature-dependent nonlinear behaviour of thin rectangular plates Downloaded by [University of Nebraska, Lincoln] at 23:28 13 June 2016 exposed to through-depth thermal gradients. Shen and Li [39] analyzed the postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties.…”

Section: Introductionmentioning

confidence: 99%

Modal characteristics of P- and S-FGM plates with temperature-dependent materials in thermal environment

Fazzolari

2016

Journal of Thermal Stresses

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The present article copes with the analysis of free vibration of functionally graded plates with temperature-dependent materials in thermal environment. The functionally graded material (FGM) can be produced by continuously varying the constituents of multiphase materials in a predetermined pro le de ned by the variation of the volume fraction. In the proposed study, two di erent volume fractions are considered: (i) power-law function (P-FGM) and (ii) sigmoid function (S-FGM). As the di erence between the material properties of the FGM constituents used is relatively small, it is then possible to successfully apply the rule of mixture with no loss of accuracy with respect to the Mori-Tanaka method. The analysis is performed using advanced hierarchical higher order equivalent single-layer plate theories developed using the method of power series expansion of displacement components. The modal characteristics of the P-and S-FGM plates are investigated while subjected to a temperature gradient. More speci cally, thermal loadings are induced by the throughthe-thickness temperature distribution obtained as the solution of the onedimensional Fourier's heat conduction equation. The governing equations are derived in their strong form using the principle of the virtual displacements and are solved in an exact sense by using the Navier-type closed form solution. The e ect of length-to-thickness ratio, material temperature dependence, and volume fraction index on the natural frequencies is investigated. ARTICLE HISTORY

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Primary resonance-principal parametric resonance of an axially accelerating ferromagnetic rectangle thin plate in an air-gap field

Tian,

2025

Thin-Walled Structures

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Temperature-dependent nonlinear behaviour of thin rectangular plates exposed to through-depth thermal gradients

Cited by 5 publications

References 25 publications

Temperature-dependent nonlinear analysis of shallow shells: A theoretical approach

Temperature-dependent nonlinear analysis of shallow shells: A theoretical approach

Modal characteristics of P- and S-FGM plates with temperature-dependent materials in thermal environment

Primary resonance-principal parametric resonance of an axially accelerating ferromagnetic rectangle thin plate in an air-gap field

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