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Published in: Mechanics of Composite Materials 4/2023

04-09-2023

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

Authors: N. Yu. Tsybin, R. A. Turusov, A. Yu. Sergeev, V. I. Andreev

Published in: Mechanics of Composite Materials | Issue 4/2023

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Abstract

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.

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Metadata
Title
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
Authors
N. Yu. Tsybin
R. A. Turusov
A. Yu. Sergeev
V. I. Andreev
Publication date
04-09-2023
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 4/2023
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-023-10124-8

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