Natural Strain

Journal of Engineering Materials and Technology - Tập 117 Số 4 - Trang 379-385 - 1995
Alan D. Freed1
1Computational Materials Laboratory, MS 105-1, NASA Lewis Research Center, 21000 Brookpark Road, Cleveland, OH 44135-3191

Tóm tắt

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.

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