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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.