On the semidiscretization and linearization of pseudoparabolic von Kármán system for viscoelastic plates
✍ Scribed by Igor Bock
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 143 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.700
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✦ Synopsis
We deal with the system of quasistationary von Kà armà an equations describing moderately large de ections of thin viscoelastic plates. We concentrate on a di erential-type material, which gives rise to a quasistationary system with a linear pseudoparabolic main part and a non-linear di erential term. This model arises when considering a special relaxation function involving only one exponential function. The existence and the uniqueness of a solution as the limit of a semidiscrete approximation is veriÿed. The conditions for a linearization of these approximations are stated.
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