Accession Number : AD0622502

Title :   MINIMUM ENERGY CHARACTERIZATIONS OF SAINTVENANT'S SOLUTION TO THE RELAXED SAINT-VENANT PROBLEM.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Sternberg,Eli ; knowles,James K.

Report Date : AUG 1965

Pagination or Media Count : 37

Abstract : This investigation aims at minimum strain-energy characterizations of Saint-Venant's solutions to the relaxed problem of extension, bending, torsion, and flexure of prismatic and cylindrical bodies. The results obtained show that Saint-Venant's solutions for the cases of extension, bending, and torsion are uniquely distinguished-among all solutions to the corresponding relaxed problem meeting certain natural side conditions--by the fact that they render the total strain energy an absolute minimum. In contrast, the classical flexure solution was found to be no longer 'optimal' in the foregoing sense and the determination of the actual optimal flexure solution has been reduced to the solution of a mixed-mixed boundaryvalue problem in elastostatics. (Author)

Descriptors :   (*ELASTIC PROPERTIES, STRAIN(MECHANICS)), (*DEFORMATION, CYLINDRICAL BODIES), STRESSES, PRISMATIC BODIES, ENERGY, STATICS, BOUNDARY VALUE PROBLEMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE