Nonequilibrium Thermodynamics of Amorphous Materials III: Shear-Transformation-Zone Plasticity

Details Nonequilibrium Thermodynamics of Amorphous Materials III: Shear-Transformation-Zone Plasticity Nonequilibrium Thermodynamics of Amorphous Materials III: Shear-Transformation-Zone Plasticity

2009-03-09

arxiv.org/abs/0903.1527v1

Phys. Rev. E 80, 031133 (2009)

Physics

Condensed Matter

Materials Science

8 pages. Third of a three-part series

Scientific paper

We use the internal-variable, effective-temperature thermodynamics developed in two preceding papers to reformulate the shear-transformation-zone (STZ) theory of amorphous plasticity. As required by the preceding analysis, we make explicit approximations for the energy and entropy of the STZ internal degrees of freedom. We then show that the second law of thermodynamics constrains the STZ transition rates to have an Eyring form as a function of the effective temperature. Finally, we derive an equation of motion for the effective temperature for the case of STZ dynamics.

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