A unified formulation of PVD-based finite cylindrical layer methods for functionally graded material sandwich cylinders

Exact 3D Thermoelectroelastic Analysis of Piezoelectric Plates through a Sampling Surfaces Method

“…Thus, the difference between the SaS method and the finite layer method consists in the following: the p-refinement is used in the former, while the h-refinement is used in the latter. Wu et al [29,30] showed that the finite layer method with equally spaced nodal surfaces yields good predictions of the mechanical behavior of composite plates and shells. However, the 3D solutions derived are approximate.…”

“…It is interesting to note also that in a finite layer method [26], which is the most efficient semi-analytical method for the 3D analysis of simply supported laminated plates and cylindrical shells [27][28][29][30], the structure is divided into a number of finite layers following the general layer-wise concept [31][32][33][34]. Within each finite layer, the trigonometric functions are employed for in-plane interpolations of displacements in a displacement-based formulation [30] and additionally transverse stresses in a mixed formulation [29], whereas the lower-order Lagrange polynomials with equispaced nodal points are accepted for the interpolation in the thickness Downloaded by [University of Saskatchewan Library] at 02:01 19 November 2014 direction, i.e., the h-refinement is adopted. Thus, the difference between the SaS method and the finite layer method consists in the following: the p-refinement is used in the former, while the h-refinement is used in the latter.…”

Parametric instability of shear deformable sandwich cylindrical shells containing an FGM core under static and time dependent periodic axial loads

“…Li et al [37] analyzed free vibration of three layered circular cylindrical shells with FG middle layer. Wu and Chang [38] and Wu and Kuo [39] presented unified formulation of finite cylindrical layer methods (FCLMs) based on the Reissner mixed variational theorem (RMVT) and principle of virtual displacements (PVDs), respectively, for the quasi-three-dimensional (3D) analysis of simply-supported, multilayered composite cylinders and sandwich circular hollow cylinders with an embedded FGM cylindrical layer, subject to mechanical loads. Sofiyev and Kuruoglu [40] studied the effect of an FG interlayer on the non-linear stability of conical shells in elastic medium.…”

Parametric study of three-dimensional vibration of viscoelastic cylindrical shells on different boundary conditions

“…Asadi and Qatu (2013) proposed the free vibration analysis of thick laminated CSs based on the FSDT and using the DQM. Wu and Kuo (2013) utilized a finite cylindrical layer method based on virtual displacement to analyze the 3D bending and free vibrations of an FGM sandwich cylinder in which trigonometric functions and the Lagrange polynomial were employed to solve the equations. Galuppi and Royer-Carfagni (2014) studied the buckling of three-layered composite beams with viscoelastic interaction which is modeled according to the Boltzmann superposition principle.…”