On the Numerical Determination of Shrinkage Stresses

Cover On the Numerical Determination of Shrinkage Stresses
On the Numerical Determination of Shrinkage Stresses
Frances Bauer
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Thus most of the plate is essentially free to contract as it is cooled and no stresses are developed.
-14- 1. 25 S, (o, y) 4. 914 6. 125 2. 435 6. 376 -. 25 Fig. La. The variation of S on the bonded edge x = 0.
The thin strip approximation is denoted by a = oo and the long strip approximation by a = 0. The numbers adjacent to the vertical arrows are the numerically determined stresses at the edge y = a.
-15- . 3r Q=l -J 2. 470 2, 456 Fig. Lb. The variation of S„ on the bonded edge.
1. 1 Sy(o, y
...) . 0 -16- -Sxy(0, y) Fig. Ic. The variation of S on the bonded edge.
xy -17- sa, y) Pig. 2. The variation of the stresses along the width of the plate at x = l/2 for a = 4.
-18- S, (x, o) -. 251.
Fig. 3a. The variation of S along the length of the plate at the line of symmetry y = 0.
-19- a = 00 S/x, o) Fig. 3b. The variation of S (x, 0) -20- Security Classification DOCUMENT CONTROL DATA - R&D (Security claaaltication o/ title, body ot abstract end indexing annolalton must be entered when the overall report le clasailied) 1 OtilGINATIN G ACTIUI'^Y (Corporate author) Courant Institute of Mathematical Sciences New York University 2« REPORT SECURITY CLASSIFICATION not classified 26 OROUP none 3 REPORT TITLE On the Numerical Determination of Shrinkage Stresses 4 DESCRIPTIVE NOTES (Type ol report and Irtclualve dale*) Technical Report September 1968 S AUTHORfS; (Lmat name, Hrat name.


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