Stress Analysis of Composite Plates with a Quasi-Square Cutout Subjected to Uniaxial Tension

Abstract

Perforated plates and shells with variously shaped cutout are often used in engineering structures. Despite the importance of the effects of cutout on the load-bearing capacity and stress concentration of such plates little research has focused on stress analysis of plates with special shaped cutout. This study investigates problems associated with the maximum stresses in perforated composite plates with quasi-square shaped cutouts. Analytical solution based on Lekhnitskii’s theory of anisotropic plate is utilized for stress analysis of composite plates with central square shaped cutout. The solution is capable of considering large variety of cutout shapes and loading conditions analytically. Parametric studies were conducted to investigate the effects of variation in cutout bluntness and orientation, material properties, and loading direction on the location and the value of the maximum stress in a flat composite plate subjected uni-axial tension load. Based on results presented herein, the maximum normalized stress of perforated composite plates can be significantly changed by using proper combination of material properties, fiber orientation, loading angle, cutout bluntness, and orientation.

Hot spot along corner curvature of rectangular plate opening

“…Furthermore, an application of finite element method in biaxial loading of plate with elliptic [5] and circular hole [6] is also investigated. A stress analysis distribution around the hole of the composite plate and high stress concentration assessments in general could be also found in [7][8][9][10][11][12][13][14][15][16].…”

Studying the effect of different parameters on stress resultant and moments distribution around non‐circular cutouts in unsymmetric laminates

“…Analytical solution methods for the stress concentration problem in multilayered composites with pin-loaded cutouts were developed on the basis of layer-related solutions. Rezaeepazhand and Jafari [5] introduced a mapping function and calculated the stress components in anisotropic plate with quasi-square cutout. By studying the effect of bluntness and rotation angle of cutout, they achieved stress concentration factors less than those of circular cutout.…”

“…Canon [26] considered the stress distribution around square cutout in isotropic and anisotropic plates, as well as symmetric and unsymmetric laminates. He used the mapping function introduced by Rezaeepazhand and Jafari [5] to consider the effect of bluntness on the stress distribution around cutout. Although there are several studies in the field of perforated laminates, none of them completely studied the effect of all parameters such as cutout orientation, bluntness and geometry of cutout together.…”

An investigation on blunt notch behavior of fiber metal laminates containing notch with different shapes

“…7,8 Most of analytical solutions are based on complex variable method that was proposed by Lekhnitskii 9 and Savin. [10][11][12][13] Sharma 12 analytically studied the effect of fiber orientation, stacking sequence, and loading factor on stress concentration around openings with different shapes. Rezaeepazhand and Jafari 13 used Lekhnitskii's complex variable method to determine stress distribution around quasi-square holes.…”