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Archive of Applied Mechanics

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12-07-2018 | Original

An implicit representation of phase interface motion with internal variables

Author: Antonios I. Arvanitakis

Published in: Archive of Applied Mechanics | Issue 11/2018

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Abstract

Internal variables in continuous media with a microstructure of multiple phases spatially distributed within its volume are discussed in this paper. However, in our analysis phase transition boundaries are represented implicitly under the use of the level-set formulation. Each level-set function representing an interface corresponds to an internal variable of state. Employing the general thermodynamic theory of internal variables within the framework of canonical thermomechanics, we derive the evolution equations for the level-set functions describing the motion of the interfaces inside a material. Finally, the concept of two internal variables and both dissipative and non-dissipative cases is discussed.

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Title: An implicit representation of phase interface motion with internal variables
Author: Antonios I. Arvanitakis
Publication date: 12-07-2018
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 11/2018
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-018-1424-4

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