Free boundary problem of crack dynamics [Elektronische Ressource] : phase field modeling / vorgelegt von Clemens Gugenberger

Free-Boundary Problem of Crack Dynamics:Phase-Field ModelingVon der Fakultat fur Mathematik, Informatik und Naturwissenschaftender RWTH Aachen University zur Erlangung des akademischen Gradeseines Doktors der Naturwissenschaften genehmigte Dissertationvorgelegt vonDiplom-PhysikerClemens Gugenbergeraus Filderstadt-PlattenhardtBerichter: Universitatsprofessor Dr. Heiner Muller-KrumbhaarUniversitatsprofessor Dr. Walter SelkeTag der mun dlichen Pruf ung: 9. Dezember 2008Diese Dissertation ist auf den Internetseiten der Hochschulbibliothek online verfug bar.AbstractThis thesis describes the behavior of cracks and pores under the inuence of elastic andcurvature e ects. In a continuum theory approach, these structure deformations aretreated as free moving boundaries. Our investigation start with well established sharpinterface equations for which no fully dynamical solutions exist so far. The equationsinclude only linear dynamical elasticity, surface energy and non-equilibrium transporttheory. By proper use of the phase- eld concept, we are now able to tackle the fullytime-dependent free moving boundary problem to describe crack propagation in a fullyself-consistent way. We concentrate on two material transport processes, namely surfacedi usion and phase transition dynamics.