Mathematical justification of a viscoelastic elliptic membrane problem
| Autor: | Gonzalo Castiñeira, Á. Rodríguez-Arós |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Marketing
Asymptotic analysis Strategy and Management 010102 general mathematics Mathematical analysis Zero (complex analysis) Shell (structure) 02 engineering and technology 01 natural sciences Viscoelasticity 020303 mechanical engineering & transports 0203 mechanical engineering Convergence (routing) Media Technology General Materials Science Limit (mathematics) 0101 mathematics Mathematics |
| Zdroj: | Comptes Rendus Mécanique. 345:824-831 |
| ISSN: | 1631-0721 |
| DOI: | 10.1016/j.crme.2017.09.007 |
| Popis: | We consider a family of linearly viscoelastic elliptic shells, and we use asymptotic analysis to justify that what we have identified as the two-dimensional viscoelastic elliptic membrane problem is an accurate approximation when the thickness of the shell tends to zero. Most noticeable is that the limit problem includes a long-term memory that takes into account the previous history of deformations. We provide convergence results which justify our asymptotic approach. |
| Databáze: | OpenAIRE |
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