Fracture mechanics with Steigmann-Ogden surface energy
32 mins 15 secs,
59.00 MB,
MP3
44100 Hz,
249.78 kbits/sec
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About this item
Description: |
Zemlyanova, A
Thursday 12th December 2019 - 14:30 to 15:00 |
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Created: | 2019-12-16 12:39 |
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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. |
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MPEG-4 Video | 640x360 | 1.93 Mbits/sec | 468.72 MB | View | Download | |
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MP3 * | 44100 Hz | 249.78 kbits/sec | 59.00 MB | Listen | Download | |
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