About this Abstract |
Meeting |
2024 TMS Annual Meeting & Exhibition
|
Symposium
|
Algorithm Development in Materials Science and Engineering
|
Presentation Title |
A Line-free Discrete Dislocation Dynamics Method for Finite Domains |
Author(s) |
Aitor Cruzado, Pilar Ariza, Alan Needleman, Michael Ortiz, Amine Benzerga |
On-Site Speaker (Planned) |
Aitor Cruzado |
Abstract Scope |
The method is based on the line-free framework of monopoles, in which dislocation events are considered as a transportation map problem. Long-range interactions are accounted for through linear elasticity and a core regularization procedure. General boundary-value problem solutions are obtained by superposition of the infinite medium solution for the dislocations and a complementary finite-element solution that enforces boundary conditions. Utilizing a computationally efficient approach based on the principle of virtual work, we formulate and solve the image problem. Our method involves a single Cholesky decomposition of the global stiffness matrix, consistent enforcement of traction and displacement boundary conditions, and efficient image force interpolation through BB-tree algorithms. Additionally, we incorporate an approximate nucleation model for large-scale computations within reasonable time frames. To ensure accuracy, we explore stable time steps and employ monopole splitting techniques. Special attention is given to the interaction of curved dislocations with arbitrary domain boundaries and free surfaces. |
Proceedings Inclusion? |
Planned: |
Keywords |
Computational Materials Science & Engineering, Mechanical Properties, Modeling and Simulation |