Effective rigidities of composite plates (Q595395)

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scientific article; zbMATH DE number 3837512
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Effective rigidities of composite plates
scientific article; zbMATH DE number 3837512

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    Effective rigidities of composite plates (English)
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    1982
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    statisfying a priori Kirchoff-Love hypothesis
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    elastic constants depend on parameter related to size of inhomogeneities
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    averaging differential operators
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    limit of operators in form of analytical expression
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    solution of stability eigenvalue problem
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    converges in modulo to solution for homogeneous material
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    plates of constant thickness
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    hinged or mixed support
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    uniform distribution of inhomogeneities
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    determination of effective characteristics
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    inhomogeneous across the thickness
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    not fulfill assumptions of Kirchoff-Love hypothesis
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    construction of operator
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    quasi-homogeneous body
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    size of inhomogeneities epsilon approach zero
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    intermediate averaging step
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    limit of sequence of functionals
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    introduces new inhomogeneous materials independent of epsilon
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    passage from three dimensional theory to two dimensional theory
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