Journal of Theoretical
and Applied Mechanics

56, 1, pp. 297-311, Warsaw 2018
DOI: 10.15632/jtam-pl.56.1.297

Optimum design of fiber angle and hole orientation of an orthotropic plate

Xiaoli Zhang, Aizhong Lu, Shaojie Wang, Ning Zhang
With the goal of decreasing the stress concentration along the hole boundary in an orthotropic
plate under inequi-biaxial loadings, an optimum design of the fiber angle and hole
orientation is presented. The maximum absolute tangential stress along the hole boundary
is taken as the objective function, and the fiber orientation angle and the hole orientation
angle are considered as design variables. The conformal transformation method of a complex
function and the Differential Evolution (DE) algorithm are used. Two non-circular shapes,
ellipse and hexagon are taken as examples to analyze the problem. Based on the results, we
can conclude that the major axis of elliptical holes should be designed in the direction of the
maximum external loading for a perforated structure in an orthotropic plate. However, the
principal direction that has the larger Young’s modulus should be inclined to the direction
of the minimum loading, especially for a significantly orthotropic plate.
Keywords: orthotropic plate, fiber orientation angle, hole orientation angle, conformal transformation method, differential evolution algorithm