Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 29, Issue 5, Pages 557-573Publisher
WILEY-BLACKWELL
DOI: 10.1002/mma.700
Keywords
von Karman equations; viscoelastic plate; pseudoparabolic problem; semidiscretization; existence; uniqueness; linearization
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We deal with the system of quasistationary von Karman equations describing moderately large deflections of thin viscoelastic plates. We concentrate on a differential-type material, which gives rise to a quasistationary system with a linear pseudoparabolic main part and a non-linear differential 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 verified. The conditions for a linearization of these approximations are stated. Copyright (c) 2005 John Wiley & Sons, Ltd.
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