Natural Strain

[+] Author and Article Information
Alan D. Freed

Computational Materials Laboratory, MS 105-1, NASA Lewis Research Center, 21000 Brookpark Road, Cleveland, OH 44135-3191

J. Eng. Mater. Technol 117(4), 379-385 (Oct 01, 1995) (7 pages) doi:10.1115/1.2804729 History: Received April 24, 1995; Online November 27, 2007


The purpose of this paper is to present a consistent and thorough development of the strain and strain-rate measures affiliated with Hencky. Natural measures for strain and strain-rate, as I refer to them, are first expressed in terms of the fundamental body-metric tensors of Lodge. These strain and strain-rate measures are mixed tensor fields. They are mapped from the body to space in both the Eulerian and Lagrangian configurations, and then transformed from general to Cartesian fields. There they are compared with the various strain and strain-rate measures found in the literature. A simple Cartesian description for Hencky strain-rate in the Lagrangian state is obtained.

Copyright © 1995 by The American Society of Mechanical Engineers
Topics: Tensors
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