A Micromechanical Basis for Constitutive Equations With Internal State Variables

[+] Author and Article Information
E. W. Hart

Cornell University, Ithaca, N.Y. 14853

J. Eng. Mater. Technol 106(4), 322-325 (Oct 01, 1984) (4 pages) doi:10.1115/1.3225724 History: Received June 15, 1984; Online September 15, 2009


A micromechanical model based on the glide and interaction of dislocations is developed to rationalize some of the phenomenological features of inelastic deformation. An origin for an internal stress is explicitly stated. The relation among the applied stress, the internal stress, and the glide friction stress is derived. The internal stress is shown to be linearly proportional to a stored anelastic strain. The micromechanical model is shown to provide a detailed basis for the state variable constitutive relations proposed by Hart.

Copyright © 1984 by ASME
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