RT Journal Article
T1 The classical theory of univalent functions and quasistatic crack propagation
A1 Oleaga Apadula, Gerardo Enrique
AB We study the propagation of a crack in critical equilibrium for a brittle material in a Mode III field. The energy variations for small virtual extensions of the crack are handled in a novel way: the amount of energy released is written as a functional over a family of univalent functions on the upper half plane. Classical techniques developed in connection to the Bieberbach Conjecture are used to quantify the energy-shape relationship. By means of a special family of trial paths generated by the so-called Löwner equation we impose a stability condition on the field which derives in a local crack propagation criterion. We called this the anti-symmetry principle, being closely related to the well known symmetry principle for the in-plane fields.
PB Cambridge University Press
SN 0956-7925
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/49652
UL https://hdl.handle.net/20.500.14352/49652
LA eng
DS Docta Complutense
RD 9 may 2025