Approximation of Thin Three-Dimensional Plates with Smooth Lateral Surface by Polygonal Plates
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2573-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2573-4 | ||
| 245 | 0 | 0 | |a Approximation of Thin Three-Dimensional Plates with Smooth Lateral Surface by Polygonal Plates |h [Elektronische Daten] |c [S. Nazarov, G. Chechkin] |
| 520 | 3 | |a In a thin isotropic homogeneous three-dimensional plate of thickness h, we consider the limit passage of elastic fields as h → +0. It is assumed that the connected component Γ N of the boundary of the median cross section ω is a broken line with links of length ah, where a > 0 is a fixed parameter. We consider the Lamé equations with the Neumann condition (a free surface) on the plate bases, the Dirichlet condition (a rigidly clamped surface) on a smooth part, and some linear contact conditions on a ribbed part of the lateral surface. For the solution to the boundary value problem we obtain an asymptotic expansion with different boundary layers. In the two-dimensional model, new boundary conditions, different from the contact ones, arise on the limit smooth contour Γ0 , thereby for the spatial elasticity problem, we confirm the Babuška paradox caused by linear boundary conditions on the plate edge, but not unilateral constraints of Signorini type. Bibliography: 42 titles. Illustrations: 5 figures. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Nazarov |D S. |u St. Petersburg State University St. Petersburg State Polytechnical University, Institute for Problems in Mechanical Engineering RAS, 61, Bolshoi pr. V.O., 199178, St. Petersburg, Russia |4 aut | |
| 700 | 1 | |a Chechkin |D G. |u Lomonosov Moscow State University, 119991, Moscow, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/4(2015-10-01), 399-428 |x 1072-3374 |q 210:4<399 |1 2015 |2 210 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2573-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2573-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Nazarov |D S. |u St. Petersburg State University St. Petersburg State Polytechnical University, Institute for Problems in Mechanical Engineering RAS, 61, Bolshoi pr. V.O., 199178, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chechkin |D G. |u Lomonosov Moscow State University, 119991, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/4(2015-10-01), 399-428 |x 1072-3374 |q 210:4<399 |1 2015 |2 210 |o 10958 | ||