In this study, mathematical models based on the cellular automata (CA) method are developed to simulate the behavior of titanium alloys’ microstructures under elastic, elastoplastic and dwell-fatigue loading. Within the CA model it is possible to identify cells that, according to defined damage criteria, can be favorable for crack initiation. The results of the CA model in elasticity and elastoplasticity are compared with a finite element (FE) model of polycrystalline aggregates in order to validate the CA model. Simulations of fatigue/creep are also done and the CA model results are compared with experimental observations. Local stress/strain distributions, the neighboring grains effects, residual stresses and the behavior of critical cells are studied and discussed. At the end of this work, the CA is proven to be an interesting method to study the micromechanical behavior of materials. Because of its simplicity this method can simulate and study complex behaviors for high number of cycles.
| Date | 22 Jan 2014 |
|---|
| Original language | French |
|---|
| Awarding Institution | - École de technologie supérieure
|
|---|
| Supervisor | Philippe Bocher (Supervisor) & Florent Bridier (Co-supervisor) |
|---|
Hamid Pourian, M. (Author),
Bocher, P. (Supervisor) & Bridier, F. (Co-supervisor),
22 Jan 2014Student thesis: Doctoral thesis › Doctorate in Engineering: Engineering