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Microcanonical Entropy and Mesoscale Dislocation Mechanics and Plasticity
(Journal of Elasticity, Carlson memorial Volume)
A methodology is devised to utilize the statistical mechanical entropy of an isolated, constrained atomistic system to define the dissipative driving-force and energetic fields in continuum thermomechanics. A thermodynamic model of dislocation mechanics is discussed. One outcome is a definition for the mesoscale back-stress tensor and the symmetric, polar dislocation density-dependent, Cauchy stress tensor from atomistic ingredients.
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 entropy and mesoscale dislocation mech_pre.pdf | 161.31 KB |
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Paper accepted for the
Paper accepted for the forthcoming Carlson Memorial volume of the Journal of Elasticity. Revised version attached.
Aside: since there was a discussion here on imechanica about atomic definitions of stress, footnote 1 of attached paper may be food for thought for many who participated in that discussion.