ON THE NUMERICAL DETERMINATION OF SHRINKAGE STRESSES.
NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES
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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. Author
- Metallurgy and Metallography