CDC 6600 Computer Program for Three Dimensional Grain Stress Analysis.
Final rept. Jul 70-Mar 71,
THIOKOL CHEMICAL CORP BRIGHAM CITY UTAH WASATCH DIV
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The report describes a stress analysis computer program for non-homogeneous elastic solids in a three dimensional state of stress. The continuum can be enclosed in a membrane case. The displacement equations of equilibrium can be based on the usual potential energy variational principle, or they can be based on Herrmanns variational theorem for solids with high Poissons ratio such as propellant grain. The HVT formulation assumes constant hydrostatic pressure over each double-dodecahedral element, and both formulations assume linear displacements over each of the 10 tetrahedral subelements. Problems involving a Poissons ratio of 0.499 and having 10,560 displacement components have been run successfully on the CDC 6600 computer. Plane stress membrane is assumed for the case. The system of equations is solved by a direct elimination technique and the solution substituted back into the system to check the validity of the solution. Author
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