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Implementation of the finite element method in the three‐dimensional discontinuous deformation analysis (3D‐DDA)
Author(s) -
Grayeli Roozbeh,
Hatami Kianoosh
Publication year - 2008
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.704
Subject(s) - discontinuous deformation analysis , finite element method , tetrahedron , computer science , deformation (meteorology) , discrete element method , algorithm , mathematics , computational science , mathematical optimization , structural engineering , geometry , engineering , geology , mechanics , physics , oceanography
A modified three‐dimensional discontinuous deformation analysis (3D‐DDA) method is derived using four‐noded tetrahedral elements to improve the accuracy of current 3D‐DDA algorithm in practical applications. The analysis program for the modified 3D‐DDA method is developed in a C++ environment and its accuracy is illustrated through comparisons with several analytical solutions that are available for selected problems. The predicted solutions for these problems using the modified 3D‐DDA approach all show satisfactory agreement with the corresponding analytical results. Results presented in this paper demonstrate that the modified 3D‐DDA method with discontinuous modeling capabilities offers a useful computational tool to determine stresses and deformations in practical problems involving fissured elastic media with reasonable accuracy. Copyright © 2008 John Wiley & Sons, Ltd.