Teilprojekt P10 - Configurational Fracture/Surface Mechanics

Drittmittelfinanzierte Gruppenförderung - Teilprojekt

Details zum übergeordneten Gesamtprojekt

Titel des Gesamtprojektes: Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik (FRASCAL)

Sprecher/in des Gesamtprojekts:
Prof. Dr.-Ing. Paul Steinmann (Lehrstuhl für Technische Mechanik)

Details zum Projekt

Prof. Dr.-Ing. Paul Steinmann
Prof. Dr. Michael Stingl

Beteiligte FAU-Organisationseinheiten:
Lehrstuhl für Technische Mechanik
Professur für Mathematische Optimierung
Zentralinstitut für Scientific Computing (ZISC)

Mittelgeber: DFG / Graduiertenkolleg (GRK)
Akronym: GRK2423 - P10
Projektstart: 02.01.2019
Projektende: 30.06.2023


Lehrstuhl für Technische Mechanik

Abstract (fachliche Beschreibung):

In a continuum the tendency of pre-existing cracks to propagate through
the ambient material is assessed based on the established concept of
configurational forces. In practise crack propagation is
however prominently affected by the presence and properties of either
surfaces and/or interfaces in the material. Here materials exposed to
various surface treatments are mentioned, whereby effects of surface
tension and crack extension can compete. Likewise, surface tension in
inclusion-matrix interfaces can often not be neglected. In a continuum
setting the energetics of surfaces/interfaces is captured by separate
thermodynamic potentials. Surface potentials in general result in
noticeable additions to configurational mechanics. This is
particularly true in the realm of fracture mechanics, however its
comprehensive theoretical/computational analysis is still lacking.

The project aims in a systematic account of the pertinent
surface/interface thermodynamics within the framework of geometrically
nonlinear configurational fracture mechanics. The focus is especially on
a finite element treatment, i.e. the Material Force Method [6]. The
computational consideration of thermodynamic potentials, such as the
free energy, that are distributed within surfaces/interfaces is at the
same time scientifically challenging and technologically relevant when
cracks and their kinetics are studied.

Zuletzt aktualisiert 2019-17-01 um 14:58