Three-Dimensional Deformation of a Multilayer Plate with Elastic Links Between its Layers

We proposed a method for the determination of the stress–strain state of a multilayer plate with elastic links between the layers in the case of its three-dimensional deformation. The solution of the problem is based on the method of compliance functions with application of the two-dimensional Fouri...

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Bibliographic Details
Published in:Materials science (New York, N.Y.) N.Y.), 2015-01, Vol.50 (4), p.536-544
Main Author: Antonenko, N. M.
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Chemistry and Materials Science
Deformation
Elastic deformation
Fourier analysis
Fourier transformation
Links
Materials Science
Multilayers
Solid Mechanics
Stress concentration
Stress-strain relationships
Structural Materials
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Summary:We proposed a method for the determination of the stress–strain state of a multilayer plate with elastic links between the layers in the case of its three-dimensional deformation. The solution of the problem is based on the method of compliance functions with application of the two-dimensional Fourier integral transformation. We construct recursive relations for finding the compliance matrices. For a two-layer plate subjected to the action of normal concentrated loads, we analyze the influence of the coefficients of elastic links on the distribution of stresses and displacements in the layers.
ISSN:1068-820X
1573-885X
DOI:10.1007/s11003-015-9751-x