We present a continuum mechanical framework for modeling crystallographic phase transformations. Scalar field variables for the mass fraction of various crystallographic phases are central to the description as are tensor field variables representing Bain strains associated with transformation. Standard balance laws for stress, energy and entropy are then augmented with additional balance principles for these additional field variables. The constitutive theory involves specification of a free energy function and an entropy production functional. We present a treatment for: the basic structure of the theoretical description, handling of the constraints associated with the additional fields, formulation of free energy functions that deliver physically motivated equilibrium configurations, and formulation of entropy production functionals that deliver physically motivated hysteretic response.

A Multi-field model for solid-solid phase transformations / Bernardini, Davide; Pence, T. J.. - ELETTRONICO. - (2002). (Intervento presentato al convegno Nonlinear Continuum Mechanics, Rheology and the Dynamo tenutosi a Minneapolis, USA nel 18-22/3/2002).

A Multi-field model for solid-solid phase transformations

BERNARDINI, Davide;
2002

Abstract

We present a continuum mechanical framework for modeling crystallographic phase transformations. Scalar field variables for the mass fraction of various crystallographic phases are central to the description as are tensor field variables representing Bain strains associated with transformation. Standard balance laws for stress, energy and entropy are then augmented with additional balance principles for these additional field variables. The constitutive theory involves specification of a free energy function and an entropy production functional. We present a treatment for: the basic structure of the theoretical description, handling of the constraints associated with the additional fields, formulation of free energy functions that deliver physically motivated equilibrium configurations, and formulation of entropy production functionals that deliver physically motivated hysteretic response.
2002
Nonlinear Continuum Mechanics, Rheology and the Dynamo
04 Pubblicazione in atti di convegno::04d Abstract in atti di convegno
A Multi-field model for solid-solid phase transformations / Bernardini, Davide; Pence, T. J.. - ELETTRONICO. - (2002). (Intervento presentato al convegno Nonlinear Continuum Mechanics, Rheology and the Dynamo tenutosi a Minneapolis, USA nel 18-22/3/2002).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/812959
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