Thermodynamic considerations on a class of dislocation-based constitutive models

Wu R, Zaiser M (2022)


Publication Type: Journal article

Publication year: 2022

Journal

Book Volume: 159

Article Number: 104735

DOI: 10.1016/j.jmps.2021.104735

Abstract

Dislocations are the main carriers of plastic deformation in crystalline materials. Physically based constitutive equations of crystal plasticity typically incorporate dislocation mechanisms, using a dislocation density based description of dislocation microstructure evolution and plastic flow. Typically, such constitutive models are not formulated in a thermodynamic framework. Nevertheless, fundamental considerations of thermodynamic consistency impose constraints on the admissible range of model parameters and/or on the range of application of such models. In particular, it is mandatory to ensure that the internal energy increase associated with dislocation accumulation is properly accounted for in the local energy balance. We demonstrate on some examples taken from the literature how failure to do so can lead to constitutive equations that violate the first and second laws of thermodynamics either generally or in some particular limit cases, and we discuss how to formulate constraints that recover thermodynamic consistency.

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APA:

Wu, R., & Zaiser, M. (2022). Thermodynamic considerations on a class of dislocation-based constitutive models. Journal of the Mechanics and Physics of Solids, 159. https://dx.doi.org/10.1016/j.jmps.2021.104735

MLA:

Wu, Ronghai, and Michael Zaiser. "Thermodynamic considerations on a class of dislocation-based constitutive models." Journal of the Mechanics and Physics of Solids 159 (2022).

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