A variational approach to the modelling of grooving in a three-dimensional setting. (1st May 2017)

• Record Type: Journal Article
• Authors: Hackl, Klaus; Fischer, Franz Dieter; Svoboda, Jiri
• Is Part Of: Acta materialia. Volume 129(2017)
• Page Start: 331
• Page End: 342
• Publication Date: 2017-05-01
• Subjects: Surfaces -- Diffusion -- Thermodynamics -- Kinetics -- Triple junction; Materials -- Periodicals; Materials science -- Periodicals; Materials -- Mechanical properties -- Periodicals; Metallurgy -- Periodicals; Chemistry, Inorganic -- Periodicals; 620.112
• DOI: 10.1016/j.actamat.2017.01.064
• Languages: English
• ISSNs: 1359-6454

Abstract

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. Graphical abstract: Image 1