Asymptotic analysis of notch induced crack nucleation | Zendy

Felger Julian | Zendy; Becker Wilfried | Zendy

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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)

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