University of Illinois Urbana-Champaign

Consistent theory for elastic deformations with small strains

Shield, Richard T.

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https://hdl.handle.net/2142/112198

Description

Title
Consistent theory for elastic deformations with small strains
Author(s)
Shield, Richard T.
Issue Date
1983-07
Keyword(s)
  • Elastic Deformations
  • Linear Elastic Behavior
Abstract
A consistent theory is developed for linear elastic behavior in which the strains are small but in which no restriction is placed on the magnitudes of the displacements or the rotations of elements of the body. The theory reduces to the classical theory for infinitesimal deformations when the rotations are small. Pure torsion of a long cylinder and the bending of a beam by a terminal load are treated in order to illustrate the application of the theory. The bending solution agrees with the St. Venant flexure solution when the deflections are small and with the theory of the elastica when the deflections are large.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 459
  • 1983-6004
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112198
Copyright and License Information
Copyright 1983 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.