Abstract
Movable Cellular Automata (MCA) is a new efficient numerical method in particle mechanics that is different from methods in the traditional continuum mechanics. In this paper MCA is applied to addressing buckling and post-buckling problems in solid mechanics. The simulation of the buckling behavior of a column subjected to a quasi-static loading is presented in this article. The critical buckling loads result obtained by MCA is consistent with the values calculated by the classical mechanics of materials. Under the post-buckling of the column, a lateral vibration of the column is observed, which was considered to be impossible at so low strain rate of over(ε, ̇) = 10- 3. The equilibrium positions of the vibration of the column are continually adjusted to match the curves of deflection of post-buckling. The vibration decays quickly with the buckling deflection increasing. Finally, the deflections of post-buckling increase steadily and the capability of bearing load of the column is slowly reduced.
Original language | English |
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Pages (from-to) | 310-316 |
Number of pages | 7 |
Journal | Computational Materials Science |
Volume | 48 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2010 |
Keywords
- MCA method
- Particle mechanics
- Post-buckling
- Vibration under post-buckling behavior
ASJC Scopus subject areas
- Materials Science(all)
- Chemistry(all)
- Computer Science(all)
- Physics and Astronomy(all)
- Computational Mathematics
- Mechanics of Materials