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Unilateral Problems for Nonlinearly Elastic Plates and Shallow Shells

Faculty of Engineering-Braiila, "Dunarea de Jos" University of Gala#i, Calea Calaraqilor 29, Bra'ila 6100 Romania; e-mail: gratie@starnets.ro

Using the topological degree for pseudo-monotone operators of type (S+), we establish a general existence result for variational inequalities of von Karman type, which model unilateral problems for nonlinearly elastic plates. Then, we give a reduced operatorial form of Marguerre von Karman equations for nonlinearly elastic shallow shells and get a new existence result for this model.

Key Words: topological degree • variational inequalities • generalized monotone operators • von Karman plates • nonlinearly elastic shallow shells • unilateral eigenvalue problem

Mathematics and Mechanics of Solids, Vol. 6, No. 3, 343-355 (2001)
DOI: 10.1177/108128650100600308


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