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Archive of Applied Mechanics

Erschienen in:

12.07.2018 | Original

An implicit representation of phase interface motion with internal variables

verfasst von: Antonios I. Arvanitakis

Erschienen in: Archive of Applied Mechanics | Ausgabe 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.

Vorheriger Artikel On measuring the dynamic elastic modulus for metallic materials using stress wave loading techniques

Nächster Artikel Proper orthogonal decomposition for substructures in nonlinear finite element analysis: coupling by means of tied contact

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Titel: An implicit representation of phase interface motion with internal variables
verfasst von: Antonios I. Arvanitakis
Publikationsdatum: 12.07.2018
Verlag: Springer Berlin Heidelberg
Erschienen in: Archive of Applied Mechanics / Ausgabe 11/2018
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-018-1424-4

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