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Three‐dimensional fracture simulations based on the SDA
Author(s) -
Feist C.,
Hofstetter G.
Publication year - 2007
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.542
Subject(s) - classification of discontinuities , discontinuity (linguistics) , domain (mathematical analysis) , fracture (geology) , surface (topology) , field (mathematics) , orientation (vector space) , structural engineering , finite element method , computer science , geology , geometry , engineering , mathematics , geotechnical engineering , mathematical analysis , pure mathematics
A numerical model within the framework of a non‐symmetric strong discontinuity approach (SDA) suitable for fracture simulations of plain concrete is presented. The model is based on the fixed crack concept and is formulated within the framework of elements with embedded discontinuities. Discontinuity segments of individual elements are considered to form a C 0 ‐continuous surface. Enforcement of continuity of the crack surface across adjacent elements is established by the so‐called partial domain crack tracking algorithm (PDTA). Orientation of individual crack segments is derived from a non‐local strain field. Within the present work emphasis is put on the formulation for the three‐dimensional case. The implications on the respective algorithms are highlighted. The capabilities of the model are shown by means of numerical examples. Copyright © 2006 John Wiley & Sons, Ltd.