Exact solution of double filled hole of an infinite plate

Kasayapanand, Nat

doi:10.2140/jomms.2008.3.365

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Exact solution of double filled hole of an infinite plate

Nat Kasayapanand

Vol. 3 (2008), No. 2, 365–373

DOI: 10.2140/jomms.2008.3.365

Abstract

The plane stress linear elastic solution to the problem of a circular disk embedded in a ring fitted into a uniaxially loaded infinite plate is solved using Airy stress functions. This exact solution is validated by reduction to the benchmark solutions: plate without hole, plate with a circular hole, plate with a circular inclusion, and plate with a ring inclusion. Numerical results of stress distribution are presented for changing material properties.

Keywords

stress function, stress concentration, plane stress, circular hole, inclusion

Supplementary material

Online supplement

Milestones

Received: 17 April 2007

Revised: 18 July 2007

Accepted: 23 July 2007

Published: 1 February 2008

Authors

Nat Kasayapanand
School of Energy, Environment, and Materials King Mongkut’s University of Technology Thonburi 126 Pracha U-thit Rd., Bangmod Thung-khru, Bangkok 10140 Thailand

Vol. 3, No. 2, 2008