|
|
|
References
|
|
|
1. |
V. V. Bolotin, Yu. N. Novichkov, Mechanics of multilayered structures, Mashinostroenie, M., 1980 (in Russian) |
2. |
E. Reissner, Inst. Aeron. Sci. A symposium, Preprint № 165, 1948, 21–48 |
3. |
E. I. Grigolyuk, “Equation of three-layered shells with lightweight intermediate layer”, Bull. AN USSR. Division of Technical Sci., 1957, no. 1, 77–84 (in Russian) |
4. |
E. I. Grigolyuk, P. P. Chulkov, “On the general theory of three-layer shells with a big deflection”, Dokl. Acad. Nauk SSSR, 150:5 (1963), 1012–1014 |
5. |
E. I. Grigolyuk, G. M. Kulikov, “Generalized model of mechanics of composite material thin-shell structures”, Mech. Composite Mater., 1988, no. 4, 698–704 (in Russian) |
6. |
V. I. Korolev, Elasto-plastic deformation of shells, Mashinostroenie, M., 1971 (in Russian) |
7. |
Yu. I. Dimitrienko, “Asymptotic theory of multylayer thin plates”, Vestn. Moskov. Univ. im. Baumana, Ser. Estestv. Nauki, 2012, no. 3, 86–99 (in Russian) |
8. |
Yu. I. Dimitrienko, E. A. Gubareva, Yu. V. Yurin, “Variational equations of asymptotic theory of multylayer thin plates”, Vestn. Moskov. Univ. im. Baumana, Ser. Estestv. Nauki, 2015, no. 4, 67–87 (in Russian) |
9. |
E. I. Grigolyuk, G. M. Kulikov, “Development of the theory of elastic multilayered plates and shells”, Vestn. TSTU, 11 (2005), 439–448 (in Russian) |
10. |
A. R. Rzanitsyn, Built-up bars and plates, Stroiizdat, M., 1986 (in Russian) |
11. |
A. M. Khludnev, “On the contact of two plates, one of which contains a crack”, J. Appl. Math. Mech., 61:5 (1997), 851–862 |
12. |
A. M. Khludnev, V. A. Kovtunenko, Analysis of Cracks in Solids, WIT Press, Southampton–Boston, 2000 |
13. |
E. M. Rudoy, “Differentiation of energy functionals in two-dimensional elasticity theory for solids with curvilinear cracks”, J. Appl. Mech. Tech. Phys., 45:6 (2004), 843–852 |
14. |
A. M. Khludnev, Elasticity theory problems in nonsmooth domains, Fizmatlit, M., 2010 |
15. |
N. P. Lazarev, “The problem of equilibrium of a Timoshenko-type plate containing a through-thickness crack”, J. Appl. Industr. Math., 14:4 (2011), 32–43 |
16. |
V. V. Shcherbakov, “On an optimal control problem of thin inclusions shapes in elastic bodies”, J. Appl. Industr. Math., 7:3 (2013), 435–443 |
17. |
E. M. Rudoy, N. A. Kazarinov, V. Yu. Slesarenko, “Numerical simulation of the equilibrium of an elastic two-layer structure with a crack”, Numer. Analys. Appl., 10:1 (2017), 63–73 |
18. |
Y. Beneveniste, T. Miloh, “Imperfect soft and stiff interfaces in two-dimensional elasticity”, Mech. of Materials, 33 (2001), 309–323 |
19. |
A. M. Khludnev, “On modelling elastic bodies with defects”, Sib. Electr. Math. Rep., 15 (2018), 153–166 |
20. |
I. V. Fankina, “On the equilibrium of a two-layer elastic structure with a crack”, J. Appl. Industr. Math., 13:4 (2019), 629–641 |
21. |
I. V. Fankina, “On the equilibrium problem for a two-layer structure with the upper layer covering a defect tip”, Sib. Electr. Math. Rep., 17 (2020), 141–160 |
22. |
E. Rudoy, “Asymptotic modelling of bonded plates by a soft thin adhesive layer”, Sib. Electr. Math. Rep., 17 (2020), 615–625 |
23. |
A. Furtsev, E. Rudoy, “Variational approach to modelling soft and stiff interfaces in the Kirchoff-Love theory of plates”, Int. J. Solids Structures, 202 (2020), 562–574 |