Solving the Stress Singularity Problem in Boundary-Value Problems of the Mechanics of Adhesive Joints and Layered Structures by Introducing a Contact Layer Model. Part 1. Resolving Equations for Multilayered Beams

The stress-strain state that occurs in multilayered structures (for example, beams) significantly depends on the nature of the interaction of their layers. In practice, when calculating such structural elements, an ideal contact of the layers is most often considered, this implies the continuity of...

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Bibliographic Details
Published in:Mechanics of composite materials 2023-09, Vol.59 (4), p.677-692
Main Authors: Tsybin, N. Yu, Turusov, R. A., Sergeev, A. Yu, Andreev, V. I.
Format: Article
Language:English
Subjects:
Adhesive joints
Boundary value problems
Ceramics
Characterization and Evaluation of Materials
Chemistry and Materials Science
Classical Mechanics
Composite materials
Composites
Contact stresses
Free surfaces
Glass
Interaction models
Materials Science
Mathematical models
Natural Materials
Singularity (mathematics)
Solid Mechanics
Strain
Stress-strain relationships
Structural members
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Summary:The stress-strain state that occurs in multilayered structures (for example, beams) significantly depends on the nature of the interaction of their layers. In practice, when calculating such structural elements, an ideal contact of the layers is most often considered, this implies the continuity of displacement vectors and stresses at the contact boundary. Strict elasticity theory solutions in this case inevitably lead to the appearance of infinite tangential stresses on the free surfaces at the angular points of structures at the layer interfaces. In this paper, the problem of the stress-strain state of a multilayered beam is considered in which the interaction of layers is assumed nonideal. For this aim, a layer interaction model with a thin contact layer between the adhesive and adherends is chosen. The equations obtained on the basis of this model allowed us to find non-singular solutions that describe the essentially inhomogeneous stress-strain state in each layer of the beam and at their interfaces.
ISSN:0191-5665
1573-8922
DOI:10.1007/s11029-023-10124-8