Level-set topology optimization for robust design of structures under internal porosity constraints
Duration: 55 mins
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Martinez-Frutos, J
Wednesday 12th June 2019 - 10:00 to 11:00 |
|---|
| Created: | 2019-06-12 13:15 |
|---|---|
| Collection: | New trends and challenges in the mathematics of optimal design |
| Publisher: | Isaac Newton Institute |
| Copyright: | Martinez-Frutos, J |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Porosity is a well-known phenomenon occurring during various manufacturing processes (casting, welding, additive manufacturing) of solid structures, which undermines their reliability and mechanical performance. The main purpose of this talk is to introduce a new constraint functional of the domain which controls the negative impact of porosity on elastic structures in the framework of shape and topology optimization. The main ingredient of our modeling is the notion of topological derivative, which is used in a slightly unusual way: instead of being an indicator of where to nucleate holes in the course of the optimization process, it is a component of a new constraint functional which assesses the influence of pores on the mechanical performance of structures. The shape derivative of this constraint is calculated and incorporated into a level set based shape optimization algorithm. This approach will be illustrated by several two- and three-dimensional numerical experiments of topology optimization problems constrained by a control on the porosity effect. These works have been conducted together with Grégoire Allaire, Charles Dapogny and Francisco Periago. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.93 Mbits/sec | 799.80 MB | View | Download | |
| WebM | 640x360 | 694.44 kbits/sec | 279.83 MB | View | Download | |
| iPod Video | 480x270 | 522.08 kbits/sec | 210.31 MB | View | Download | |
| MP3 | 44100 Hz | 249.79 kbits/sec | 100.72 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||