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Microcanonical Entropy and Mesoscale Dislocation Mechanics and Plasticity

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Abstract

A methodology is devised to utilize the statistical mechanical entropy of an isolated, constrained atomistic system to define constitutive response functions for the dissipative driving-force and energetic fields in continuum thermomechanics. A thermodynamic model of dislocation mechanics is discussed as an example. Primary outcomes are constitutive relations for the back-stress tensor and the Cauchy stress tensor in terms of the elastic distortion, mass density, polar dislocation density, and the scalar statistical density.

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Authors and Affiliations

  1. Carnegie Mellon University, Pittsburgh, PA, USA

    Amit Acharya

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  1. Amit Acharya
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Correspondence to Amit Acharya.

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This paper is dedicated to the memory of Professor Donald E. Carlson, teacher and friend to me. I owe a great debt for all I learned from him, in particular continuum mechanics. Don was a scholar and a gentleman, with a kind heart and a tremendous sense of humor. I miss him.

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Acharya, A. Microcanonical Entropy and Mesoscale Dislocation Mechanics and Plasticity. J Elast 104, 23–44 (2011). https://doi.org/10.1007/s10659-011-9328-3

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