Effective rigidities of composite plates

DOI10.1016/0021-8928(82)90041-7zbMath0527.73065OpenAlexW2092100691MaRDI QIDQ595395

Alexander G. Kolpakov

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90041-7

zbMATH Keywords

averaging differential operatorsconstruction of operatorconverges in modulo to solution for homogeneous materialdetermination of effective characteristicselastic constants depend on parameter related to size of inhomogeneitieshinged or mixed supportinhomogeneous across the thicknessintermediate averaging stepintroduces new inhomogeneous materials independent of epsilonlimit of operators in form of analytical expressionlimit of sequence of functionalsnot fulfill assumptions of Kirchoff-Love hypothesispassage from three dimensional theory to two dimensional theoryplates of constant thicknessquasi-homogeneous bodysize of inhomogeneities epsilon approach zerosolution of stability eigenvalue problemstatisfying a priori Kirchoff-Love hypothesisuniform distribution of inhomogeneities

Mathematics Subject Classification ID

Plates (74K20) Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30)

Related Items (2)

Supplement to the paper ``On the thermoelasticity problem of non-uniform plates ⋮ Averaging in problems of the bending and oscillation of stressed inhomogeneous plates

Cites Work

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• Homogenization and bifurcation of perforated plates
• Sulla convergenza delle soluzioni di disequazioni variazionali
• AVERAGING ANDG-CONVERGENCE OF DIFFERENTIAL OPERATORS
• Existence Theorems in Linear and Semi-Linear Elasticity

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