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TECHNICAL PAPERS

A Higher-Order Theory for Plane Stress Conditions of Laminates Consisting of Isotropic Layers

[+] Author and Article Information
X. J. Wu, S. M. Cheng

Structures, Materials and Propulsion Laboratory, Institute of Aerospace Research, National Research Council of Canada, Ottawa, Ontario K1A OR6, Canada

J. Appl. Mech 66(1), 95-100 (Mar 01, 1999) (6 pages) doi:10.1115/1.2789174 History: Received January 21, 1998; Revised June 25, 1998; Online October 25, 2007

Abstract

In this paper, a higher-order theory is derived for laminates consisting of isotropic layers, on the basis of three-dimensional elasticity with displacements as higher-order functions of z in the thickness direction. The theory employs three stress potentials, Ψ (an Airy function), p (a harmonic function), and its conjugate q, to satisfy all conditions of stress equilibrium and compatibility. Interlaminar shear stresses, i.e., antiplane stresses, are shown to be present at the interfaces, especially near material discontinuities where gradients of in-plane stresses are usually high. For illustrating its practical application, the problem of a plate containing a hole patched with an intact plate is solved.

Copyright © 1999 by The American Society of Mechanical Engineers
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