Buckling and sensitivity analysis of nonlocal orthotropic nanoplates with uncertain material properties

Radebe, Isaac Sfiso; Adali, Sarp

doi:10.1016/j.compositesb.2013.08.054

Cited by 37 publications

(17 citation statements)

References 38 publications

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“…While, in Sobhy [29], the free vibration, mechanical buckling and thermal buckling responses of MLGSs were investigated using new two-variable plate theories accounting for the small scale effects. Radebe and Adali [30] employed an ellipsoidal convex model to study the biaxial buckling of a rectangular orthotropic nanoplate with uncertain material properties. The shear buckling of orthotropic SLGSs in thermal environment was investigated by Mohammadi et al [31] using the differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Hygrothermal deformation of orthotropic nanoplates based on the state-space concept

Sobhy

2015

Composites Part B: Engineering

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Section: Introductionmentioning

confidence: 99%

Hygrothermal deformation of orthotropic nanoplates based on the state-space concept

Sobhy

2015

Composites Part B: Engineering

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“…Radebe and Adali (2014) have made a great contribution to quantifying the material uncertainties in nanostructure by ellipsoidalbound convex model, which makes the Lagrange multiplier an effective method for performing buckling analysis of uncertain nanoplate in poor information situation. In this section, interval-bound convex model is employed to quantify the uncertain material properties, such as Young's modulus and mass density.…”

Section: Nonlocal Governing Partial Differential Equation Of Motionmentioning

confidence: 99%

“…Furthermore, probabilistic modeling requires sufficient statistical data, but collecting sufficient experimental data at nano-scale is a difficult task. In fact, Radebe and Adali (2014) had focused on the analysis of nanoplates with limited data available, and pointed out that non-probabilistic modeling has a good performance in such problem. However, their study is restricted to buckling behaviors.…”

Section: Introductionmentioning

confidence: 99%

Effect of uncertainty in material properties on wave propagation characteristics of nanorod embedded in elastic medium

Liu

2017

Int J Mech Mater Des

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The effect of uncertainty in material properties on wave propagation characteristics of nanorod embedded in an elastic medium is investigated by developing a nonlocal nanorod model with uncertainties. Considering limited experimental data, uncertain-but-bounded variables are employed to quantify the uncertain material properties in this paper. According to the nonlocal elasticity theory, the governing equations are derived by applying the Hamilton's principle. An iterative algorithm based interval analysis method is presented to evaluate the lower and upper bounds of the wave dispersion curves. Simultaneously, the presented method is verified by comparing with Monte-Carlo simulation. Furthermore, combined effects of material uncertainties and various parameters such as nonlocal scale, elastic medium and lateral inertia on wave dispersion characteristics of nanorod are studied in detail. Numerical results not only make further understanding of wave propagation characteristics of nanostructures with uncertain material properties, but also provide significant guidance for the reliability and robust design of the next generation of nanodevices.

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“…Buckling behavior and sensitivity of nonlocal orthotropic nanoplates with material uncertainty have been investigated by Radebe and Adali (2014) neglecting the surface effect. Present study extends these results to take into account the effect of surface stress in the buckling of isotropic nanoplates.…”

Section: Introductionmentioning

confidence: 99%

Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty

Radebe

Adali

2015

Lat. Am. j. solids struct.

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At the nano scale, the effect of surface stress becomes prominent as well as the so-called small scale effect. Furthermore due to difficulties in making accurate measurements at nano-scale as well as due to due to molecular defects and manufacturing tolerances, there exists a certain degree of uncertainty in the determination of the material properties of nano structures This, in turn, introduces some degree of uncertainty in the computation of the mechanical response of the nano-scale components. In the present study a convex model is employed to take surface tension, small scale parameter and the elastic constants as uncertain-butbounded quantities in the buckling analysis of rectangular nanoplates. The objective is to determine the lowest buckling load for a given level of uncertainty to obtain a conservative estimate by taking the worst-case variations of material properties. Moreover the sensitivity of the buckling load to material uncertainties is also investigated.

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Buckling and sensitivity analysis of nonlocal orthotropic nanoplates with uncertain material properties

Cited by 37 publications

References 38 publications

Hygrothermal deformation of orthotropic nanoplates based on the state-space concept

Hygrothermal deformation of orthotropic nanoplates based on the state-space concept

Effect of uncertainty in material properties on wave propagation characteristics of nanorod embedded in elastic medium

Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty

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