Refined Theory for Bending and Torsion of Perforated Plates

[+] Author and Article Information
P. Meijers

Delft University of Technology, Department of Mechanical Engineering, Laboratory of Engineering Mechanics, Mekelweg, Delft, The Netherlands

J. Pressure Vessel Technol 108(4), 423-429 (Nov 01, 1986) (7 pages) doi:10.1115/1.3264808 History: Received March 21, 1985; Revised September 16, 1985; Online November 05, 2009


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.

Copyright © 1986 by ASME
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In