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Continuum approach to the numerical simulation of material failure in concrete
Author(s) -
Oliver J.,
Huespe A. E.,
Samaniego E.,
Chaves E. W. V.
Publication year - 2004
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.365
Subject(s) - uniqueness , discontinuity (linguistics) , simple (philosophy) , classification of discontinuities , perturbation (astronomy) , computer simulation , structural engineering , computer science , mechanics , mathematics , engineering , mathematical analysis , physics , epistemology , philosophy , quantum mechanics
Abstract Some new aspects of the continuum strong discontinuity approach (CSDA) to model material failure in geomaterials are addressed. A new global algorithm, for tracking multiple crack lines/surfaces in 2D/3D cases is proposed. It is based on solving a simple heat conduction‐like problem accompanying the standard mechanical algorithm. A viscous perturbation method on the crack surface is also proposed to remedy the instabilities caused by mutual interactions of multiple developing cracks. A simple procedure to compute the critical time step that ensures algorithmic uniqueness is then provided. Numerical simulations of two‐ and three‐dimensional problems displaying a multi‐crack pattern are finally presented. Copyright © 2004 John Wiley & Sons, Ltd.