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University of Illinois at Urbana-Champaign

Variational Principles in Finite Elasticity With Applications

Abstract

dc:description

A variational principle of the complementary energy type is derived. Trial functions for the actual deformation gradient are used in the formulation of the principle. Corresponding principles for elastic bodies subject to kinematical constraints such as incompressibility are formulated. The same approach can be used to obtain variational principles for infinitesimal deformations superposed on a known finite elastic deformation of an elastic body.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Theoretical and Applied Mechanics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Lee, Sang Jin

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8017970
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/68506

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Lee, Sang Jin. Variational Principles in Finite Elasticity With Applications. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/68506