Geodesic
Deformation of a three-layer circular plate under creep conditions
Problemy fiziki, matematiki i tehniki, no. 2 (2021), pp. 57-63

Voir la notice de l'article provenant de la source Math-Net.Ru

The analytical solution of the boundary value problem of axisymmetric bending of a circular three-layer plate under creep conditions is obtained using the experimental-theoretical Ilyushin method. The physical equations of state of the hereditary theory of linear viscoelasticity are used. The similarity of the creep cores of the layer materials was assumed. The polyline hypothesis is used to describe the kinematics of a plate package that is not symmetric in thickness. In the bearing layers, the Kirchhoff hypotheses are valid. In a relatively thick placeholder, the Timoshenko hypothesis is accepted. The well-known solution of a similar problem in the theory of elasticity for such a three-layer plate is taken as the initial one. Numerical approbation of the obtained solution is carried out.
Keywords: three-layer plate, bending, similarity of creep nuclei, experimental-theoretical method. 
@article{PFMT_2021_2_a7,
     author = {E. I. Starovoitov and Yu. M. Pleskatshevsky and A. V. Yarovaya},
     title = {Deformation of a three-layer circular plate under creep conditions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {57--63},
     publisher = {mathdoc},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2021_2_a7/}
}
TY  - JOUR
AU  - E. I. Starovoitov
AU  - Yu. M. Pleskatshevsky
AU  - A. V. Yarovaya
TI  - Deformation of a three-layer circular plate under creep conditions
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2021
SP  - 57
EP  - 63
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2021_2_a7/
LA  - ru
ID  - PFMT_2021_2_a7
ER  - 
%0 Journal Article
%A E. I. Starovoitov
%A Yu. M. Pleskatshevsky
%A A. V. Yarovaya
%T Deformation of a three-layer circular plate under creep conditions
%J Problemy fiziki, matematiki i tehniki
%D 2021
%P 57-63
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2021_2_a7/
%G ru
%F PFMT_2021_2_a7
E. I. Starovoitov; Yu. M. Pleskatshevsky; A. V. Yarovaya. Deformation of a three-layer circular plate under creep conditions. Problemy fiziki, matematiki i tehniki, no. 2 (2021), pp. 57-63. http://geodesic.mathdoc.fr/item/PFMT_2021_2_a7/