Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA
The validity of three-dimensional discontinuous deformation analysis (3-D DDA) is examined by comparing its solution for dynamic block displacement with an analytical solution. Displacement of a single block on inclined planes subjected to dynamic loadings is studied for analytical solutions derived...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
Pergamon
2009
|
| Online Access: | http://hdl.handle.net/20.500.11937/34912 |
| _version_ | 1848754352826613760 |
|---|---|
| author | Beyabanaki, S. Ferdosi, Behnam Mohammadi, S. |
| author_facet | Beyabanaki, S. Ferdosi, Behnam Mohammadi, S. |
| author_sort | Beyabanaki, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The validity of three-dimensional discontinuous deformation analysis (3-D DDA) is examined by comparing its solution for dynamic block displacement with an analytical solution. Displacement of a single block on inclined planes subjected to dynamic loadings is studied for analytical solutions derived with respect to the frictional resistance offered by the planes. 3-D DDA predicts accurately the analytical displacements, and the results were found sensitive to the maximum displacement ratio, and the size of the time step, which are defined by the user. Best results were achieved when the actual displacements were approximately equal to the assumed maximum displacements per time step. Furthermore, edge-to-edge contact constraints have been improved by using the augmented Lagrangian method instead of the penalty method. Using the augmented Lagrangian method to enforce contact restraints retains the simplicity of the penalty method, and reduces its disadvantages. The new formulation of edge-to-edge contact using the augmented Lagrangian method is implemented in 3-D DDA and has been programmed in VC++. Finally two illustrative examples are presented for demonstrating this new approach. Crown Copyright © 2008. |
| first_indexed | 2025-11-14T08:39:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-34912 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:39:03Z |
| publishDate | 2009 |
| publisher | Pergamon |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-349122017-09-13T15:28:26Z Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA Beyabanaki, S. Ferdosi, Behnam Mohammadi, S. The validity of three-dimensional discontinuous deformation analysis (3-D DDA) is examined by comparing its solution for dynamic block displacement with an analytical solution. Displacement of a single block on inclined planes subjected to dynamic loadings is studied for analytical solutions derived with respect to the frictional resistance offered by the planes. 3-D DDA predicts accurately the analytical displacements, and the results were found sensitive to the maximum displacement ratio, and the size of the time step, which are defined by the user. Best results were achieved when the actual displacements were approximately equal to the assumed maximum displacements per time step. Furthermore, edge-to-edge contact constraints have been improved by using the augmented Lagrangian method instead of the penalty method. Using the augmented Lagrangian method to enforce contact restraints retains the simplicity of the penalty method, and reduces its disadvantages. The new formulation of edge-to-edge contact using the augmented Lagrangian method is implemented in 3-D DDA and has been programmed in VC++. Finally two illustrative examples are presented for demonstrating this new approach. Crown Copyright © 2008. 2009 Journal Article http://hdl.handle.net/20.500.11937/34912 10.1016/j.ijrmms.2008.12.001 Pergamon restricted |
| spellingShingle | Beyabanaki, S. Ferdosi, Behnam Mohammadi, S. Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA |
| title | Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA |
| title_full | Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA |
| title_fullStr | Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA |
| title_full_unstemmed | Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA |
| title_short | Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA |
| title_sort | validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-d dda |
| url | http://hdl.handle.net/20.500.11937/34912 |