Plane Orthotropic Layer by Transfer Matrix‐Spline Boundary Element
Publication: Journal of Engineering Mechanics
Volume 120, Issue 5
Abstract
Stress analysis of anisotropic layers under various loading conditions is of interest in the mechanics of composites or geomechanics. In an attempt to develop an efficient numerical approach for such an analysis, a solution method is developed herein. Based on the state space approach and the Fourier transform, the fundamental solution for an orthotropic elastic layer under the action of arbitrary surface loads and volume forces is obtained in the form of infinite integrals, which are then evaluated numerically. In order to remedy the slow convergence of the numerical integrals associated with the fundamental solution, a procrustean technique is introduced. The fundamental solution is then implemented in the spline‐boundary‐element method and a computational strategy for the numerical implementation is discussed. As an illustrative example, a problem of anisotropic layer containing an elliptic cavity is considered for two different boundary conditions and numerical results are compared to the finite‐element solutions.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 5 • May 1994
Pages: 1026 - 1041
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: May 24, 1993
Published online: May 1, 1994
Published in print: May 1994
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