Abdelouahab Tati

Analysis of Deflection in Isotropic and Orthotropic Rectangular Plates with Central Opening Under Transverse Static Loading

In this study, the transverse deflection in orthotropic composite plates as well as in isotropic plates with circular hole subjected to transverse loading is studied. This study was made numerically by using a quadrilateral finite element of four nodes with 8 degrees of freedom at each node, previously developed for the bending and mechanical buckling of laminated composite plates. The main purpose of this study is to demonstrate the accuracy of the present element for analyzing the effect of (D/A) ratio (where (D) is hole diameter and (A) is plate width) upon the transverse deflection in isotropic and orthotropic plates with different support conditions. The numerical results obtained by the present element and the finite element software ‘Abaqus’ compare favorably with those obtained by the analytic approaches and the numerical results published in literature.

Finite Element Analysis of Stress Concentrations in Isotropic and Composite Plates with Elliptical Holes

Panels and shells with variously shaped cutout are often used in both modern and classical aerospace, mechanical and civil engineering structures. The understanding of the effects of cutout on the load bearing capacity and stress concentration of such plates/shells is very important in designing of structures. Finite element investigation is undertaken to study the stress analysis of plates with central elliptical holes. In this study, the stress concentration factors (SCF) in cross-and-angle-ply composite plates as well as in isotropic plates subjected to uniaxial loading is studied. The main objective of this study is to demonstrate the accuracy of present element for stress analysis of plates with central cutout. The varying parameters, such as cutout shape (circular or elliptical), hole sizes (a/b) or cutout orientations, which affect the stress distributions and SCF in the perforated plates, are considered. The numerical results obtained by the present element are compared favorably with the analytic findings published in literature, which demonstrates the accuracy of the present element.

Efficient Layerwise Finite Element Model for Multilayer Sandwich Plates Analysis

In this paper, a new 2D quadrilateral finite element model, based on the layerwise approach, is developed for bending and free vibration analysis of multilayer sandwich plates. Unlike any other layerwise theory, the number of degrees of freedom in this present model is independent of the number of layers. Both, high order and first order shear deformation theories are used in order to model the core and face-sheets respectively. This combined theory satisfies the compatibility conditions as well as continuity of displacements, at the interface. The numerical results obtained by our model are compared favorably with those obtained via analytical solution and numerical results obtained by other models.

Finite Element Based on Layerwise Approach for Static and Dynamic Analysis of Multi-layered Sandwich Plates

The present work deals with the development of a new layerwise quadrilateral finite element model for static and free vibration analyses of multi-layered sandwich plates. Unlike any other layerwise models, the number of variables is independent of the number of layers. The proposed model assumes higher-order displacement field for the core and first-order displacement field for the face sheets. Compatibility conditions are imposed at face sheets/core interfaces to satisfy the interlaminar displacement continuity. The performance of the proposed formulation is demonstrated by comparing the authors’ results with available analytical solutions and finite element models.