MINIMUM ENERGY CHARACTERIZATIONS OF SAINTVENANT'S SOLUTION TO THE RELAXED SAINT-VENANT PROBLEM.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1965
- Accession Number
- AD0622502
Entities
People
- Eli Sternberg
- James K. Knowles
Organizations
- California Institute of Technology