Proceedings of the Second International Conference on Mechanics, Materials and Structural Engineering (ICMMSE 2017)

The contact layer method in the problem of bending of a multilayer beam. Fourier series solution

Authors
Andreev Vladimir I., Turusov Robert A., Tsybin Nikita Yu.
Corresponding Author
Andreev Vladimir I.
Available Online April 2017.
DOI
10.2991/icmmse-17.2017.34How to use a DOI?
Keywords
Multilayer beam, Composite, Adhesive, Substrate, Bending, Contact layer, Adhesive interaction, Fourier series, Edge effect
Abstract

The article deals with the solution of the problem of bending of a hinged multilayer beam under the normal uniformly distributed load and induced axial forces. The interaction between layers is accomplished by the contact layer in which the substances of adhesive and substrate are mixed. We will consider the contact layer as the transversal anisotropic medium with such parameters that it can be represented as a set of short elastic rods, which are not connected to each other. The solution is obtained in the form of decomposition into Fourier series of sines. There is an example of the calculation of a three-layer beam. The convergence of the obtained solution is analyzed according to the number of accounted members of the decomposition

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the Second International Conference on Mechanics, Materials and Structural Engineering (ICMMSE 2017)
Series
Advances in Engineering Research
Publication Date
April 2017
ISBN
978-94-6252-370-8
ISSN
2352-5401
DOI
10.2991/icmmse-17.2017.34How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Andreev Vladimir I.
AU  - Turusov Robert A.
AU  - Tsybin Nikita Yu.
PY  - 2017/04
DA  - 2017/04
TI  - The contact layer method in the problem of bending of a multilayer beam. Fourier series solution
BT  - Proceedings of the Second International Conference on Mechanics, Materials and Structural Engineering (ICMMSE 2017)
PB  - Atlantis Press
SP  - 220
EP  - 226
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmmse-17.2017.34
DO  - 10.2991/icmmse-17.2017.34
ID  - VladimirI.2017/04
ER  -