Wave Propagation of Porous Nanoshells

Karami, Behrouz; Shahsavari, Davood; Janghorban, Maziar; Dimitri, Rossana; Tornabene, Francesco

doi:10.3390/nano9010022

Cited by 42 publications

(8 citation statements)

References 85 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The non-linear behavior of the shell structures under different loading conditions, makes the wave propagation problem particularly sensitive to the selected mechanical and geometrical parameters. This represents a key aspect of higher-order numerical approaches for shell structures [38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

et al. 2020

Self Cite

View full text Add to dashboard Cite

We propose a coupled thermoelastic approach based on the Lord-Shulman (L-S) and Maxwell’s formulations to study the wave propagation in functionally graded (FG) cylindrical panels with piezoelectric layers under a thermal shock loading. The material properties of the FG core layer feature a graded distribution throughout the thickness and vary according to a simple power law. A layerwise differential quadrature method (LW-DQM) is combined with a non-uniform rational B-spline (NURBS) multi-step time integration scheme to discretize the governing equations both in the spatial and time domains. The compatibility conditions of the physical quantities are enforced at the interfaces to describe their structural behavior in a closed form. A validation and comparative analysis with the available literature, together with a convergence study, show the efficiency and stability of the proposed method to handle thermoelastic problems. Numerical applications are herein performed systematically to check for the sensitivity of the thermoelastic response to the material graded index, piezoelectric layer thickness, external electrical voltage, opening angle, and shock thermal loading, which would be very helpful for practical engineering applications.

show abstract

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…NSGT takes not only the nonlocal stress field but also the strain gradient stress field into account, which is capable of describing both stiffness-softening effect and stiffnesshardening effect. Based upon the NSGT, numerous works have been performed to investigate the size-dependent linear or nonlinear bending, buckling, vibration, and wave propagation of FG small-scaled beams [13][14][15][16][17][18][19][20][21][22][23][24] , plates [25][26][27][28][29][30][31][32] , and shells [33][34][35][36][37] . To mention a few, She et al [38] analyzed the wave propagation of porous FG nanotubes with the help of NSGT and a refined beam model.…”

Section: Introductionmentioning

confidence: 99%

A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells

Zhu

Guo

et al. 2019

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

In this paper, a novel size-dependent functionally graded (FG) cylindrical shell model is developed based on the nonlocal strain gradient theory in conjunction with the Gurtin-Murdoch surface elasticity theory. The new model containing a nonlocal parameter, a material length scale parameter, and several surface elastic constants can capture three typical types of size effects simultaneously, which are the nonlocal stress effect, the strain gradient effect, and the surface energy effects. With the help of Hamilton’s principle and first-order shear deformation theory, the non-classical governing equations and related boundary conditions are derived. By using the proposed model, the free vibration problem of FG cylindrical nanoshells with material properties varying continuously through the thickness according to a power-law distribution is analytically solved, and the closed-form solutions for natural frequencies under various boundary conditions are obtained. After verifying the reliability of the proposed model and analytical method by comparing the degenerated results with those available in the literature, the influences of nonlocal parameter, material length scale parameter, power-law index, radius-to-thickness ratio, length-to-radius ratio, and surface effects on the vibration characteristic of functionally graded cylindrical nanoshells are examined in detail.

show abstract

“…In a context where curved structures like beams or tubes play a remarkable role in many nanotechnology applications because of their engineering properties (i.e., high strength/stiffness to weight ratios), various size-dependent investigations of reinforced curved beams, tubes, and shells have been carried out in literature [31,32,33,34,35,36,37,38,39,40,41], including different theoretical or computational strategies.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

et al. 2019

Self Cite

View full text Add to dashboard Cite

This work deals with the size-dependent buckling response of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) (FG-CNTRC) curved beams based on a higher-order shear deformation beam theory in conjunction with the Eringen Nonlocal Differential Model (ENDM). The material properties were estimated using the rule of mixtures. The Hamiltonian principle was employed to derive the governing equations of the problem which were, in turn, solved via the Galerkin method to obtain the critical buckling load of FG-CNTRC curved beams with different boundary conditions. A detailed parametric study was carried out to investigate the influence of the nonlocal parameter, CNTs volume fraction, opening angle, slenderness ratio, and boundary conditions on the mechanical buckling characteristics of FG-CNTRC curved beams. A large parametric investigation was performed on the mechanical buckling behavior of FG-CNTRC curved beams, which included different CNT distribution schemes, as useful for design purposes in many practical engineering applications.

show abstract

Wave Propagation of Porous Nanoshells

Cited by 42 publications

References 85 publications

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells

Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

Contact Info

Product

Resources

About