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A variational approach to the modelling of grooving in a three-dimensional setting

K. Hackl, F.D. Fischer, J. Svoboda.

Acta Materialia, Elsevier Ltd, 129, 331-342, (2017)

Abstract
We present a theory of thermal grooving, i.e. surface motion due to surface diffusion, based solely on geometrical and energetic arguments and a variational approach involving a thermodynamic extremal principle. The theory is derived for a fully three-dimensional setting. All interface and contact conditions at junction lines and points of the material aggregate are derived rigorously and without ambiguity. A finite element implementation of the model is employed. Numerical examples are presented and compared with experimental results from the literature. © 2017 Acta Materialia Inc.


Keyword(s): Surfaces diffusion, thermodynamics, kinetics, triple junction
Cite as: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85015059527&doi=10.1016%2fj.actamat.2017.01.064&partnerID=40&md5=78ac2d8b2f4f226d26d14243089dc413
DOI: 10.1016/j.actamat.2017.01.064
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