On the justification of viscoelastic flexural shell equations
| Autor: | Gonzalo Castiñeira, Á. Rodríguez-Arós |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Asymptotic analysis
Mathematical analysis Shell (structure) Boundary (topology) 010103 numerical & computational mathematics 01 natural sciences Viscoelasticity 010101 applied mathematics Computational Mathematics Computational Theory and Mathematics Flexural strength Modeling and Simulation Convergence (routing) Limit (mathematics) 0101 mathematics Quasistatic process Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 77:2933-2942 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2018.08.062 |
| Popis: | We consider a family of linearly viscoelastic shells of thickness 2 e , all with the same middle surface and fixed on the lateral boundary. By using asymptotic analysis, we find that for external forces of a particular order of e , a two-dimensional viscoelastic flexural shell model is an accurate approximation of the three-dimensional quasistatic problem. 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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