Uniaxial Loading in an Elastic Continuum With a Doubly Periodic Array of Material Discontinuities

[+] Author and Article Information
G. H. Gaonkar

Department of Systems, Mechanical and Aerospace Engineering, Washington University, St. Louis, Mo.

J. Appl. Mech 36(1), 134-139 (Mar 01, 1969) (6 pages) doi:10.1115/1.3564574 History: Received November 09, 1967; Revised June 24, 1968; Online September 14, 2011


Stress and displacement fields are presented for uniaxially loaded infinite elastic continua with a doubly periodic array of holes, elastic or rigid inclusions with or without overlapping. The results are obtained by using an appropriate form of the finite-element method. When possible, a numerical comparison has been made with known solutions. In the treatment of not previously studied configurations, the convergence is ascertained by observing the trend with finer discretizations.

Copyright © 1969 by ASME
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