Solid-state transformations and crack propagation [Elektronische Ressource] : a phase field study / Michael Fleck

Solid-state transformationsand crack propagation:A phase field studyVon der Fakultät für Mathematik, Informatik und Naturwissenschaften derRWTH Aachen University zur Erlangung des akademischen Grades einesDoktors der Naturwissenschaften genehmigte Dissertationvorgelegt vonDiplom-PhysikerMichael Fleckaus AachenBerichter: Universitätsprofessor Dr. Heiner Müller-Krumbhaarrofessor Dr. Walter SelkeTag der mündlichen Prüfung: 28. September 2010Diese Dissertation ist auf den Internetseiten der Hochschulbibliothekonline verfügbar.AbstractDiffusional pattern formation processes, which for instance lead to the formation ofsnowflakes in undercooled watervapor, are doubtless fascinating systems with pretty com-plex nonlinear behavior. In the accompanying so-called diffusion limited phase transfor-mation kinetics the phase evolution is strongly coupled to the long-range diffusion oflatent heat, that is released at the solid liquid interface. For transformations in the solid-state these processes are additionally subjected to nonlocal elastic effects which arise fromstructural differences between adjacent solid phases.Mathematically, these dynamic systems can be mapped to so-called moving boundaryproblems, which then, for example, can be treated by the phase field method.