Premium
Nonlinear augmented finite element method for arbitrary cracking in large deformation plates and shells
Author(s) -
Wang Liang,
Ma Xueshi,
Yang Qingda,
Karkkainen Ryan L.
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6445
Subject(s) - shell (structure) , finite element method , nonlinear system , deformation (meteorology) , structural engineering , displacement (psychology) , fracture mechanics , fracture (geology) , cracking , extended finite element method , materials science , geometry , mechanics , mathematics , engineering , physics , composite material , quantum mechanics , psychology , psychotherapist
This article presents a nonlinear augmented finite element method (N‐AFEM) for the analysis of arbitrary crack initiation and propagation in large deformation plates and shells. The FE formulations for plate/shell elements and a shell‐like cohesive zone element, both with explicit consideration of geometric nonlinearity, have been derived in detail. The geometrically nonlinear shell‐like cohesive element has the essential feature of 3D but with crack displacements directly extracted from midplane shell element nodes, which enables an accurate description of crack propagation in shells and plates under large deformation. Furthermore, a novel augmentation process that can explicitly account for the discontinuous displacement fields of cracked elements without the need of extra nodes or nodal DoFs has been develop based on a nonlinear Newton‐Raphson method. The numerical performance of the N‐AFEM in modeling a number of benchmark shell/plate fracture problems demonstrates that the method is efficient, accurate, and robust.