THE SHEAR CORRECTION COEFFICIENT IN THE VISCOELASTIC MINDLIN–TIMOSHENKO THIN PLATE MODEL

Dávid Pancza

   The Mindlin-Timoshenko Model allows us to describe the vertical motion (bending) of a viscoelastic thin plate by an operator equation K(W'',V)+(A(0)W,V)+(A'*W,V)=F(V)+G(V). The bilinear form A can be written as a sum of two members which are differently dependent on the thickness h of the plate: A=hA₁+h³A₃ . To correct the inexactness of the MT model, a factor k called the shear correction coefficient is introduced into A: A=hA₁+kh³A₃. The term khA₁ plays here the role of a penalty term. We shall deal with the properties of the MT model in the special cases of k → 0 and k → ∞.

Keywords: stress and strain, viscoelastic material, Mindlin-Timoshenko thin plate model, shear correction coefficient, coercivity

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