Affiliation:
1. Delft University of Technology, Department of Mechanical Engineering, Laboratory of Engineering Mechanics, Mekelweg, Delft, The Netherlands
Abstract
Abstract
An asymptotic solution is given for the effective elastic constants and the stresses in a perforated plate which is loaded in bending and torsion. In this solution terms 0(h/R)2 are neglected with respect to unity; h being the plate thickness and R the hole radius. In addition to the doubly periodic solution of the classical plate problem another bi-potential problem and two auxiliary problems, viz., a plane strain and a torsion problem for a half-infinite strip, have to be solved. The asymptotic solution together with an approximate solution for an infinitely thick plate permits us often to construct a solution which covers the entire range of h/R; viz., 0≤h/R<∞. In a number of cases accurate interpolation requires additional finite-element calculations. The numerical data presented here apply to a square or an equilateral triangular hole pattern.
Subject
Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality
Cited by
5 articles.
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