Stress concentration of a laminate weakened by multiple holes

Abstract

A laminate weakened by multiple equal elliptical holes in series is treated as an anisotropic, infinite, multiply connected and thin plate. Using Faber series expansion and a complex potential method in the plane theory of elasticity of an anisotropic body, the general step to deduce the stress concentration in the laminate subjected to arbitrary in-plane loads at infinity is obtained. As a numerical example, the stress concentration of a particular laminate weakened by two, three or four equal circular holes in series is calculated. Moreover, the effects of the loading type, the number of holes and the relative distance between two neighbouring holes on the stress concentration of the laminate are discussed.