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A new model for nonlinear elastic plates with rapidly varying thickness. (English) Zbl 0683.73027
The problem deals with the composition of the two-dimensional models concerning nonlinear elastic plates with rapidly varying thickness. The author’s procedure is based on the assumption that the three-dimensional constitutive equation is linear with respect to the full strain tensor. By using a variational approach with the well-known method of multiple- scale asymptotic expansion he established the existence of the solution to the “limit problem”. The obtained result is the generalization of some earlier models of plates of constant thickness.
Reviewer: V.Brčić

MSC:
74K20 Plates
74B20 Nonlinear elasticity
35C20 Asymptotic expansions of solutions to PDEs
74S30 Other numerical methods in solid mechanics (MSC2010)
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References:
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