Polar Decomposition Theory in Nonlinear Analyses of Solids and Structures
Publication: Journal of Engineering Mechanics
Volume 121, Issue 4
Abstract
The physical meaning, geometric interpretation, and applications of the polar decomposition theory and Jaumann strains and stresses in nonlinear modeling and analysis of solids and structures are considered. Jaumann strains and stresses prove to be objective geometric measures defined with respect to the deformed system configuration, and constant material stiffnesses obtained from experiments using engineering stresses and strains can be directly used in the constitutive equation. Moreover, the relations of Jaumann strains and stresses to Green-Lagrange strains and Piola-Kirchhoff stresses are derived, and it is shown that Jaumann strains can be easily derived by using a new concept of local displacements.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 4 • April 1995
Pages: 568 - 581
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Apr 1, 1995
Published in print: Apr 1995
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