CaltechAUTHORS
  A Caltech Library Service

Minimum energy characterizations of Saint-Venant's solution to the relaxed Saint-Venant problem

Sternberg, Eli and Knowles, James K. (1966) Minimum energy characterizations of Saint-Venant's solution to the relaxed Saint-Venant problem. Archive for Rational Mechanics and Analysis, 21 (2). pp. 89-107. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20150811-131727884

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20150811-131727884

Abstract

The singular importance, in both theory and practice, of SAINT-VENANT'S celebrated memoirs [1], [2] on what has long since become known as SAINTVENANT'S problem, requires no emphasis. Indeed, a comprehensive bibliography of the vast and varied literature to which the work contained in [1], [2] has given impetus would multiply the length of this rather limited study. With a view toward describing the aim of the present investigation we recall first that SAINT-VENANT'S problem consists in the determination of the stresses and deformations in an elastic cylinder (or prism), which - in the absence of body forces - is subjected to surface tractions arbitrarily prescribed over its ends and which is free from lateral loading. In this formulation the problem, even within the linearized equilibrium theory of homogeneous and isotropic elastic solids, has remained one of undiminished notoriety. SAINT-VENANT'S treatment of the foregoing problem rests on a relaxed formulation in which the detailed assignment of the terminal tractions is abandoned in favor of prescribing merely the appropriate stress resultants.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/BF00266569DOIArticle
http://link.springer.com/article/10.1007%2FBF00266569PublisherArticle
Additional Information:© 1966 Springer. (Received September 15, 1965) The results contained in this paper were obtained in the course of research conducted under Contract Nonr-220(58) with the Office of Naval Research in Washington, D.C.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)Nonr-220(58)
Record Number:CaltechAUTHORS:20150811-131727884
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150811-131727884
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59423
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:11 Aug 2015 21:18
Last Modified:13 Feb 2019 18:04

Repository Staff Only: item control page