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On a variational inequality for a shallow shell operator with a constraint on the boundary - MaRDI portal

On a variational inequality for a shallow shell operator with a constraint on the boundary (Q1114488)

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scientific article; zbMATH DE number 4083152
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On a variational inequality for a shallow shell operator with a constraint on the boundary
scientific article; zbMATH DE number 4083152

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    On a variational inequality for a shallow shell operator with a constraint on the boundary (English)
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    1987
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    A variational inequality is formulated to describe the contact of an elastic shallow shell with a rigid stamp. To solve the contact problem one has to minimize the shell energy functional on a convex closed set. This problem is equivalent to solve a variational inequality. The exact formulation of the problem is given in detailed form. The stamp reaction is characterized by two non-negative measures. Properties of these measures are analysed. The regularity of the solution is discussed.
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    unilateral contact
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    elastic shallow shell
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    rigid stamp
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    minimize the shell energy functional
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    convex closed set
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    two non-negative measures
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    regularity
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