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Nonlocal zigzag analytical solution for Laplacian hygrothermal stress analysis of annular sandwich macro/nanoplates with poor adhesions and 2D-FGM porous cores

Alipour M. M., Shariyat M.

Archives of Civil and Mechanical Engineering

2019

Vol. 19, no. 4

1211--1234

A zigzag nonlocal model is presented for annular/circular sandwich macro- and nanoplates with bidimensional graded porous cores and weak interfacial adhesions. This is the first time that a stress analysis is performed in the framework of Eringen's nonlocality concept. In this regard, after determination of the displacements by utilizing a power series solution, the governing Laplacian equations of the stress components in terms of the displacement components are solved in a post-processing stage, using a power series solution in terms of stress parameters. Effects of the thermal stresses and material degradation and deterio-ration due to the temperature rise and moisture absorption are also taken into account. To guarantee continuity of the transverse shear and normal stresses, the bonding layers are modeled by spring elements. To present a general model, it is assumed that the core porosity changes in both radial and transverse directions. It is the first time that the effects of the porosity are investigated on transverse distributions of the displacement and stress com-ponents. The results have captured the significant effects of the nonlocality, moisture absorption, and bond strength on the stress and lateral deflection results, and especially, the abrupt changes in the in-plane displacement and stress components at the interfaces.

An analytical globar-local Taylor transformation-based vibration solution for annular FGM sandwich plates supported by nonuniform elastic foundations

Alipour M. M., Shariyat M.

Archives of Civil and Mechanical Engineering

2014

Vol. 14, no. 1

6--24

Free vibration of functionally graded annular sandwich plates resting on Winkler-type elastic foundations is investigated based on a zigzag global–local plate theory and a finite Taylor's transform whose center is located at the outer edge. Material properties of each layer may be graded in the transverse direction according to a power law. It is the first time that a global–local theory is combined with a layerwise analytical solution for analysis of the annular functionally graded sandwich plates. Various edge conditions are considered for the inner and outer edges. A parametric study including evaluating effects of the material properties distributions of the core and face sheets, symmetric and asymmetric layups, thickness to radius ratio of the plate, inner to outer radius ratio, coefficient of the elastic foundation, and the edge conditions on vibration behavior of the annular plate is carried out. Accuracy of the employed sandwich plate theory and the presented analytical solution are verified by comparing present results with those of the three-dimensional theory of elasticity extracted from ABAQUS software.