On unilaterally supported viscoelastic von Kármán plates with a long memory

Igor Bock and Ján Lovíšek

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 399-407

Abstract: We deal with the system consisting of the nonlinear integro-differential variational inequality for the deflection and the nonlinear quasistationary equation for the Airy stress function. The system describes moderately large deflections with an inner obstacle of a thin viscoelastic plate made of a long memory material. The corresponding Volterra type canonical integro-differential variational inequality is solved using a semidiscrete approximation transforming the problem into the sequence of stationary variational inequalities of von Kármán type. The existence of a solution as well as the convergence of a semidiscrete approximation to a solution of the Volterra variational inequality with a nonlinear main part are verified.

Keywords: von Kármán system; Integro-differential variational inequality; Viscoelastic plate; Memory term; Semidiscretization (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:61:y:2003:i:3:p:399-407

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