Unilateral dynamic contact of von Kármán plates with singular memory. (English) Zbl 1164.35447

Summary: The solvability of the contact problem is proved provided the plate is simply supported. The singular memory material is assumed. This makes it possible to get a priori estimates important for the strong convergence of gradients of velocities of solutions to the penalized problem.


35L85 Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators
74D10 Nonlinear constitutive equations for materials with memory
74K20 Plates
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