Stress-diffusive regularizations of non-dissipative rate-type materials
| Type of publication: | Misc |
| Citation: | |
| Publication status: | Submitted |
| Volume: | 10 |
| Number: | 6 |
| Year: | 2017 |
| Pages: | 1233-1256 |
| Abstract: | We consider non-dissipative (elastic) rate-type material models that are derived within the Gibbspotential- based thermodynamic framework. Since the absence of any dissipative mechanism in the model prevents us from establishing even a local-in-time existence result in two spatial dimensions for a spatially periodic problem, we propose two regularisations. For such regularized problems we obtain well-posedness of the planar, spatially periodic problem. In contrast with existing results, we prove ours for a regularizing term present solely in the evolution equation for the stress. |
| Preprint project: | MORE |
| Preprint year: | 2017 |
| Preprint number: | 03 |
| Preprint ID: | MORE/2017/03 |
| Keywords: | |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
|
Attachments
|
|
|
|
|
Notes
|
|
|
|
|
|
Topics
|
|
