Fracture mechanics with Steigmann-Ogden surface energy
Duration: 32 mins 14 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Zemlyanova, A
Thursday 12th December 2019 - 14:30 to 15:00 |
|---|
| Created: | 2019-12-16 12:39 |
|---|---|
| Collection: | Complex analysis: techniques, applications and computations |
| Publisher: | Isaac Newton Institute |
| Copyright: | Zemlyanova, A |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | It is known that surface energy plays an increasingly important role in modeling of objects at nano-scales. In this talk, surface energy model proposed by Steigmann and Ogden will be applied to fracture problems in two-dimensional setting. Introduction of surface energy leads to non-classical boundary conditions incorporating both stresses and derivatives of displacements. The mechanical problem will be reduced to systems of singular integro-differential equations which are further reduced to systems of weakly-singular equations. The existence and uniqueness of the solution will be discussed. It is shown that taking into account surface mechanics leads to the size-dependent solutions. A numerical scheme of the solution of the systems of singular integro-differential equations based on B-splines is suggested, and the numerical results are presented for different values of the mechanical and the geometric parameters. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.93 Mbits/sec | 468.72 MB | View | Download | |
| WebM | 640x360 | 381.73 kbits/sec | 90.12 MB | View | Download | |
| iPod Video | 480x270 | 521.92 kbits/sec | 123.22 MB | View | Download | |
| MP3 | 44100 Hz | 249.78 kbits/sec | 59.00 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||