caa a22 4500 445811846 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00419-011-0517-0 doi (NATIONALLICENCE)springer-10.1007/s00419-011-0517-0 The concept of material forces in phase transition problems within the level-set framework [Elektronische Daten] [Antonios Arvanitakis, Vassilios Kalpakides] The dynamics of a phase transition front in solids using the level set method is examined in this paper. Introducing an implicit representation of singular surfaces, a regularized version of the sharp interface model arises. The interface transforms into a thin transition layer of nonzero thickness where all quantities take inhomogeneous expressions within the body. It is proved that the existence of an inhomogeneous energy of the material predicts inhomogeneity forces that drive the singularity. The driving force is a material force entering the canonical momentum equation (pseudo-momentum) in a natural way. The evolution problem requires a kinetic relation that determines the velocity of the phase transition as a function of the driving force. Here, the kinetic relation is produced by invoking relations that can be considered as the regularized versions of the Rankine-Hugoniot jump conditions. The effectiveness of the method is illustrated in a shape memory alloy bar. Springer-Verlag, 2011 Phase transition nationallicence Level set method nationallicence Material forces nationallicence Kinetic relation nationallicence Jump conditions nationallicence Arvanitakis Antonios Department of Materials Science and Engineering, Laboratory of Mathematical Modeling and Scientific Computing, University of Ioannina, 45110, Ioannina, Greece aut Kalpakides Vassilios Department of Materials Science and Engineering, Laboratory of Mathematical Modeling and Scientific Computing, University of Ioannina, 45110, Ioannina, Greece aut Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1781-1792 0939-1533 81:12<1781 2011 81 419 https://doi.org/10.1007/s00419-011-0517-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0517-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Arvanitakis Antonios Department of Materials Science and Engineering, Laboratory of Mathematical Modeling and Scientific Computing, University of Ioannina, 45110, Ioannina, Greece aut NATIONALLICENCE 700 1- Kalpakides Vassilios Department of Materials Science and Engineering, Laboratory of Mathematical Modeling and Scientific Computing, University of Ioannina, 45110, Ioannina, Greece aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1781-1792 0939-1533 81:12<1781 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer