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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, 129, 331-342, (2017)

DOI: 10.1016/j.actamat.2017.01.064

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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.

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{"type":"article", "name":"k.hackl20175", "author":"K. Hackl and F.D. Fischer and J. Svoboda", "title":"A variational approach to the modelling of grooving in a threedimensional setting", "journal":"Acta Materialia", "volume":"129", "OPTnumber":"", "OPTmonth":"5", "year":"2017", "OPTpages":"331-342", "OPTnote":"", "OPTkey":"Surfaces diffusion, thermodynamics, kinetics, triple junction", "DOI":"10.1016/j.actamat.2017.01.064"}
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