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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

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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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