Temperature-dependent flexural wave propagation in nanoplate-type porous heterogenous material subjected to in-plane magnetic field

Karami, Behrouz; Shahsavari, Davood; Li, Li

doi:10.1080/01495739.2017.1393781

Cited by 50 publications

(21 citation statements)

References 39 publications

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“…Results are compared with those from second-order shear deformation theory (SSDT), [121]. The results from present higher-order shell theory are in good agreement with those from Karami et al [121]. It is important to note that by considering radii of curvature to infinite, the nanoshells behave like nanoplates.…”

Section: Wave Propagation Validationsupporting

confidence: 69%

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On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Karami

Janghorban

Tounsi

2019

J Braz. Soc. Mech. Sci. Eng.

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Elastic bulk wave characteristics of doubly curved nanoshell made of functionally graded (FG) anisotropic material are studied. The effective properties of FG anisotropic material vary along the thickness direction. A higher-order shear deformation shell theory and the Bi-Helmholtz nonlocal strain gradient theory are, respectively, utilized to model the nanoshell as a continuum model and predicting the size-dependent behavior. The Hamiltonian principle is adopted to obtain the governing equations of wave motion. These equations are solved analytically to evaluate the wave characteristics of the nanoshell. Emphasizing the effect of parametric excitation, the influences of small-scale parameters, exponential factor, magnetic field intensity, initial stress, elastic foundation parameters, and wave number are assessed on the wave dispersion response of FG anisotropic nanoshell.

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Section: Wave Propagation Validationsupporting

confidence: 69%

“…The considered small-scale parameters are µ 0 = µ 1 = µ=1, λ = 0.2. Results are compared with those from second-order shear deformation theory (SSDT), [121]. The results from present higher-order shell theory are in good agreement with those from Karami et al [121].…”

Section: Wave Propagation Validationsupporting

confidence: 68%

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Karami

Janghorban

Tounsi

2019

J Braz. Soc. Mech. Sci. Eng.

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“…The governing equations of a nonlocal strain gradient triclinic beam with a continuous variation in thickness, are obtained by substituting Equations (23) and (24) into Equations (21) and (22) as follows,…”

Section: Theory and Formulationmentioning

confidence: 99%

“…Therefore, the research and development of these novel materials has received special attention in the last decades, especially at a nanoscale level, where classical theories are inapplicable and can fail. Hence, different methods, i.e., experimental tests, molecular dynamics (MD) simulations and non-classical mathematical formulations, have been proposed as alternative ways to predict the behavior of nanomaterials [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. In work by Aifantis and Askes [36], a nonlocal strain gradient theory was proposed as an alternative non-classical method to capture both the hardening and softening stiffness mechanisms of nanostructured systems.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Triclinic Nanobeams Based on the Differential Quadrature Method

Karami¹,

Janghorban²,

Dimitri³

et al. 2019

Applied Sciences

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In this work, the nonlocal strain gradient theory is applied to study the free vibration response of a Timoshenko beam made of triclinic material. The governing equations of the problem and the associated boundary conditions are obtained by means of the Hamiltonian principle, whereby the generalized differential quadrature (GDQ) method is implemented as numerical tool to solve the eigenvalue problem in a discrete form. Different combinations of boundary conditions are also considered, which include simply-supports, clamped supports and free edges. Starting with some pioneering works from the literature about isotropic nanobeams, a convergence analysis is first performed, and the accuracy of the proposed size-dependent anisotropic beam model is checked. A large parametric investigation studies the effect of the nonlocal, geometry, and strain gradient parameters, together with the boundary conditions, on the vibration response of the anisotropic nanobeams, as useful for practical engineering applications.

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“…Shahsavari et al [18] proposed a quasi-3D hyperbolic plate theory for free vibration analysis of FG plates on elastic foundation with even, uneven and logarithmic porosity distribution. Karami et al [19] studied the wave propagation problem of porous FG nanoplate with in-plane magnetic field resting on Winkler Pasternak foundation. More recently, Pham et al [20] derived a closed form expression for buckling and post buckling of simply supported porous FG plates on an elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

Cuong-Le

Tran

Bui

et al. 2019

Composite Structures

110

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In this article, we present for the first time a research analysis for the size-dependent effects on thermal buckling and post-buckling behaviors of functionally graded material micro-plates with porosities (imperfect FGM) using isogeometric analysis. A seventh-order shear deformation plate theory associated with the modified couple stress theory (MCST) is particularly imposed to capture the size-dependent phenomenon within imperfect FGM micro-plates. The material properties of imperfect FGM micro-plates with three different distributions of porosities including even, uneven and logarithmic-uneven varying across the plate thickness are derived from the modified rule-of-mixture assumption. The nonlinear governing equation for sizedependent imperfect FGM micro-plate under uniform, linear and nonlinear temperature rise is derived using the Von-Kármán assumption and Hamilton's principle. Through numerical example, the effect of temperature rise, boundary conditions, power index, porosity volume fraction, porosity distribution pattern and material length scale parameter on thermal buckling and post-buckling behaviors of FGP micro-plates are investigated.

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Temperature-dependent flexural wave propagation in nanoplate-type porous heterogenous material subjected to in-plane magnetic field

Cited by 50 publications

References 39 publications

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Free Vibration Analysis of Triclinic Nanobeams Based on the Differential Quadrature Method

Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

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