2026-06-26T15:38:18Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/496522023-08-25T11:08:10Zcom_20.500.14352_14col_20.500.14352_15

Oleaga Apadula, Gerardo Enrique 2023-06-20T09:28:27Z 2023-06-20T09:28:27Z 2006 0956-7925 10.1017/S0956792506006577 https://hdl.handle.net/20.500.14352/49652 http://journals.cambridge.org/action/displayJournal?jid=EJM 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. eng open access The classical theory of univalent functions and quasistatic crack propagation journal article