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Asymptotic analysis of notch induced crack nucleation
Author(s) -
Felger Julian,
Becker Wilfried
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710089
Subject(s) - nucleation , asymptotic analysis , mechanics , numerical analysis , fracture mechanics , asymptotic expansion , fracture (geology) , mathematics , materials science , structural engineering , mathematical analysis , physics , engineering , thermodynamics , composite material
In the present study, a semi‐analytical asymptotic approach is used in order to analyse the change of total potential energy due to the initiation of a crack at a sharp re‐entrant corner. The semi‐analytical solution nature allows for reducing the numerical effort compared to a purely numerical treatment and provides a deeper physical insight into the fracture mechanics problem. Finally, the obtained asymptotic solutions are compared to numerical reference solutions. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)