Geodesic
Asymptotics of solutions for two elastic plates with thin junction
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 484-501

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The paper concerns an equilibrium problem for two elastic plates connected by a thin junction (bridge) in a case of Neumann boundary conditions, which provide a non-coercivity for the problem. An existence of solutions is proved. Passages to limits are justified with respect to the rigidity parameter of the junction. In particular, the rigidity parameter tends to infinity and to zero. Limit models are investigated.
Keywords: Thin junction, elastic plate, rigidity parameter, non-coercive boundary value problem, thin inclusion. 
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     author = {A. M. Khludnev},
     title = {Asymptotics of solutions for two elastic plates with thin junction},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {484--501},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a36/}
}
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A. M. Khludnev. Asymptotics of solutions for two elastic plates with thin junction. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 484-501. http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a36/