Abstract
The topology optimization problem is formulated in a phase-field approach. The solution
procedure is based on the Allan-Cahn diffusion model. The functional defining the minimization problem
includes a gradient term which introduces cost for boundaries and thereby regularizing the problem. To
avoid non-physical densities obstacles are introduces. It is shown that the problem can be stated as a
variational inequality or a max-min problem. The numerical solution procedure are based on the finite
element method and Howard’s algorithm.
procedure is based on the Allan-Cahn diffusion model. The functional defining the minimization problem
includes a gradient term which introduces cost for boundaries and thereby regularizing the problem. To
avoid non-physical densities obstacles are introduces. It is shown that the problem can be stated as a
variational inequality or a max-min problem. The numerical solution procedure are based on the finite
element method and Howard’s algorithm.
| Original language | English |
|---|---|
| Pages | 161--162 |
| Publication status | Published - 2012 |
| Event | 25th Nordic Seminar on Computational Mechanics, 2012 - Lund, Lund, Sweden Duration: 2012 Oct 25 → 2012 Oct 26 Conference number: 25 |
Conference
| Conference | 25th Nordic Seminar on Computational Mechanics, 2012 |
|---|---|
| Abbreviated title | NSCM |
| Country/Territory | Sweden |
| City | Lund |
| Period | 2012/10/25 → 2012/10/26 |
Subject classification (UKÄ)
- Mechanical Engineering