Geodesic
Equilibrium of a three-layer plate with crack
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 1, pp. 105-120

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

An equilibrium problem of a three-layer plate which is clamped at outer edge and containes a through vertical crack is studied. The three-layer plate consists of two structural layers which are considered as anisotropic Kirchhoff—Love plates and a soft layer between them. At the crack edges in the structural layers a non-penetration condition is posed. Passage to the limit as the width of soft layer tends to zero and its reduced stiffness tends to infinity is considered. For the both problems a unique solvability is shown, variational and differentional statements are presented.
Keywords: Kirchhoff—Love plate, three-layer plate, crack with non-penetration condition. . 
@article{SJIM_2022_25_1_a7,
     author = {E. V. Pyatkina},
     title = {Equilibrium of a three-layer plate with crack},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {105--120},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a7/}
}
TY  - JOUR
AU  - E. V. Pyatkina
TI  - Equilibrium of a three-layer plate with crack
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2022
SP  - 105
EP  - 120
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a7/
LA  - ru
ID  - SJIM_2022_25_1_a7
ER  - 
%0 Journal Article
%A E. V. Pyatkina
%T Equilibrium of a three-layer plate with crack
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2022
%P 105-120
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a7/
%G ru
%F SJIM_2022_25_1_a7
E. V. Pyatkina. Equilibrium of a three-layer plate with crack. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 1, pp. 105-120. http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a7/