On the Numerical Determination of Shrinkage Stresses

[+] Author and Article Information
F. Bauer, E. L. Reiss

Courant Institute of Mathematical Sciences, New York University, New York, N. Y.

J. Appl. Mech 37(1), 123-127 (Mar 01, 1970) (5 pages) doi:10.1115/1.3408419 History: Received October 04, 1968; Revised June 10, 1969; Online July 12, 2010


An iterative method is employed to obtain numerical solutions of a two-dimensional mixed boundary-value problem for rectangular elastic plates. The theory of plane stress is used. This problem is encountered when the edge of a uniformly heated plate is bonded to a rigid body and then allowed to cool. The numerical results are compared with two formal asymptotic expansions of the solution. They correspond to the limiting cases of a thin strip and a long strip. The development of boundary layers near the edges of the plate is observed. The numerically determined stresses achieve their largest values at the corner of the bonded edge.

Copyright © 1970 by ASME
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