TY  - JOUR
T1  - Determination of the Coefficient of Thermal Expansion in a Non-Linear Elastic Rod of Two Concentric Layers
AU  - Rızov, Victor
PY  - 2023
DA  - December
DO  - 10.55549/epstem.1403000
JF  - The Eurasia Proceedings of Science Technology Engineering and Mathematics
JO  - EPSTEM
PB  - ISRES Publishing
WT  - DergiPark
SN  - 2602-3199
SP  - 1
EP  - 7
VL  - 25
LA  - en
AB  - The present theoretical paper treats the problem of determination of the coefficient of thermal expansion of a rod with two concentric longitudinal layers. The layers exhibit non-linear elastic behaviour. Besides, the layers have different thickness. The rod is exposed to temperature influence. The coefficient of thermal expansion of the rod is derived by analysing the thermal strains in the two layers. Since the layers are connected, the strains in the layers are equal (this fact is used to work out an equation for determining the coefficient of thermal expansion of the rod). The case when the two layers are continuously inhomogeneous along the rod length is also considered. In this case the material properties of the layers vary continuously in longitudinal direction. Here again the layers have non-linear elastic mechanical behaviour. Analysis of the distribution of strains along the length of the rod is carried-out when deriving the coefficient of thermal expansion of the rod. A comparison with the coefficient of thermal expansion of a rod having linear-elastic mechanical behaviour is performed for check-up of the solutions obtained in the present paper.
KW  - Concentric layers
KW  - Rod
KW  - Circular section
KW  - Coefficient of thermal expansion
CR  - Dolgov, N. (2005). Determination of stresses in a two-layer coating. Strength of Materials, 37, 422-431.
CR  - Hoa, S.V., Gay, D., & Tsai, S W. (2003). Composite materials (1st ed.). Boca Raton: CRC Press.
CR  - Kaul, A. B. (2014). Two-dimensional layered materials: Structure, properties, and prospects for device applications, Journal of Material Research, 29, 348-361.
UR  - https://doi.org/10.55549/epstem.1403000
L1  - https://dergipark.org.tr/en/download/article-file/3591301
ER  -