THE THERMAL STRESSES IN A THICK-WALLED CONE BY THE METHOD OF FINITE DIFFERENCES.
JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
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A thick-walled cone subject to arbitrary axisymmetric thermal gradients is analyzed. The displacements and stresses are determined by a computer program which is predicated on the method of finite differences. A special direct method is utilized to solve the matrix equation. The program is used to analyze two check problems which produce an unrestrained expansion of the cone. The results for a linear temperature gradient, uniform along the length of the cone, are presented and compared to thin-shell and thick-walled cylinder calculations. The results indicate that a tensile stress concentration occurs at the inside apex of the cone. Author