Differential quadrature thermal buckling analysis of general quadrilateral orthotropic auxetic FGM plates on elastic foundations

Mansouri, M.H.; Shariyat, M.

doi:10.1016/j.tws.2016.12.018

Cited by 27 publications

(9 citation statements)

References 52 publications

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“…6 In other words, although the common transversely graded plates eliminate the local stress concentrations, they establish asymmetric arrangements of the materials that induce additional bending moments due to the resulting distances between the neutral and middle planes of the plates. To benefit from both the material gradation and the symmetry about the mid-plane, it is recommended to use a transversely symmetric graded distribution of the material properties, 37–40 so that where Cij is the elasticity stiffness coefficient and k is the heterogeneity exponent. In this case, the resulting plate may even be regarded as a blended three-layer sandwich plate with a transition core.…”

Section: The Nonlocal Form Of the Governing Equation Of Viscoelastic mentioning

confidence: 99%

Nonlinear semi-analytical nonlocal strain-gradient dynamic response investigation of phase-transition-induced transversely graded hierarchical viscoelastic nano/microplates

Shariyat

Farrokhi

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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A functionally graded Boltzmann hierarchical viscoelastic model with both stress- and strain-gradient nonlocalities is developed and implemented to extract results that are more precise than results of Eringen's nonlocal elasticity model. The available size-dependent vibration analyses of the nano/microplates have focused on the frequency analysis and even not the time-dependent transient vibration analyses. In the present research, the forced and transient responses of the microplates are studied comprehensively, for the first time, using a three-element standard solid viscoelastic model. The studied transversely symmetric graded viscoelastic microplate and the relevant function of the material properties variations contain notable hints as well. Furthermore, the resulting new sixth-order nonlocal strain gradient integrodifferential equations are solved by a special technique that includes an analytical spatial Navier series-type solution and a trapezoidal and Runge–Kutta integration schemes, in time domain. Finally, the influences of the stress- and strain-gradient nonlocality parameters and the viscoelasticity parameters on the dynamic behaviors of the viscoelastic FGM microplates are investigated in details. Results show that the effects of the strain gradient nonlocality on the viscodynamic results may be much remarkable than those of the length scale nonlocality, in microscales.

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Section: The Nonlocal Form Of the Governing Equation Of Viscoelastic mentioning

confidence: 99%

Nonlinear semi-analytical nonlocal strain-gradient dynamic response investigation of phase-transition-induced transversely graded hierarchical viscoelastic nano/microplates

Shariyat

Farrokhi

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The idea of using transversely graded orthotropic layers was introduced by some researchers 32–39 and this concept has been extended by Sofiyev and his coauthors 40–42 for single-layer structures. In the present article, this concept is extended further to include not only the transverse but also the longitudinal and circumferential directions and multi-layer structures as well.…”

Section: The Governing Equationsmentioning

confidence: 99%

Influence of the 3D material tailoring on snap-through and snap-back post-buckling behaviors of steel-wire-reinforced hybrid 3D graded orthotropic shallow cylindrical panels

Soltanieh

Shariyat

Kabir

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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Simultaneous application of composite layers and steel bars/wires may considerably increase buckling strength of the civil structures. In the present paper, influence of the material heterogeneity on snap-through and snap-back post-buckling behaviors of the steel-wire-reinforced hybrid functionally graded orthotropic shallow cylindrical panels is investigated. In this regard, various arrangements are adopted for the steel-wires to constitute 3D (simultaneous radial, circumferential, and axial) gradations of the materials within some layers in addition to using some traditional composite layers in between. The non-linear governing equations of post-buckling are derived based on the principle of minimum potential energy. Sanders’ shell theory is utilized to ensure that the results are reliable in the deep post-buckling region. A nonlinear finite element scheme is employed to trace the post-buckling paths using the modified arc-length method. Finally, some parametric studies in terms of material arrangement, size of the embedded steel wires, the overall lamination scheme, and geometric parameters of the shell are performed. Results emphasize the significant effects of the steel wires on the post-buckling strength and indicate the advantage of using steel fibers with exponential or uniform longitudinal distributions and linear transverse distribution, for weight optimization.

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“…A number of studies have been dedicated to these structures. Particularly, investigations were made to study the bending [10,11], dynamic [12,13], and buckling behavior [13][14][15] of these structures. However, in these researches [10][11][12][13][14][15], the value of the negative Poisson's ratios (NPRs) for estimating the effect of auxetic feature on the mechanical behavior of a plate is based on an assumption.…”

Section: Introductionmentioning

confidence: 99%

Static and dynamic analyses of auxetic hybrid FRC/CNTRC laminated plates

Huang

Yang

Azim

et al. 2020

Nanotechnology Reviews

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In this work, a hybrid laminated plate is developed by changing ply orientations and stacking sequences. The hybrid laminated plate is composed of carbon nanotube reinforced composite and fiber reinforced composite layers. Negative Poisson’s ratio (NPR) is obtained for the case of [22F/(22C/−22C)3T/−22F] laminate. A theoretical laminated model considering geometric nonlinearity and shear deformation is presented. Based on a two-step perturbation method, the solutions of the motion equations are obtained to capture the nonlinear frequencies and load–deflection curves. On this basis, the fourth-order Runge–Kutta method is used to obtain the dynamic response of hybrid laminated plates. The presented model is verified by comparing the results obtained analytically and numerically. Several factors such as loading and distribution of carbon nanotubes (CNTs), and foundation type are considered in parametric study. Numerical results indicate that the thermal-mechanical behavior of hybrid laminated plates significantly improved by properly adjusting the CNT distribution. In addition, the results reveal that changes in temperature and foundation stiffness have pronounced influence on the nonlinear vibration characteristics of hybrid laminate plates with NPR as compared to those with positive Poisson’s ratio.

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Differential quadrature thermal buckling analysis of general quadrilateral orthotropic auxetic FGM plates on elastic foundations

Cited by 27 publications

References 52 publications

Nonlinear semi-analytical nonlocal strain-gradient dynamic response investigation of phase-transition-induced transversely graded hierarchical viscoelastic nano/microplates

Nonlinear semi-analytical nonlocal strain-gradient dynamic response investigation of phase-transition-induced transversely graded hierarchical viscoelastic nano/microplates

Influence of the 3D material tailoring on snap-through and snap-back post-buckling behaviors of steel-wire-reinforced hybrid 3D graded orthotropic shallow cylindrical panels

Static and dynamic analyses of auxetic hybrid FRC/CNTRC laminated plates

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