Abstract:
A general solution is obtained for dynamic bending of ideal rigid-plastic plates with a clamped or simply supported curved contour containing an absolutely rigid insert of an arbitrary shape. The plate is affected by a short-time high-intensity explosive dynamic load uniformly distributed over the surface. It is shown that there are several mechanisms of plate deformation. Equations for dynamic deformation are derived for each mechanism, and conditions of occurrence are analyzed. Examples of numerical solutions are given.
Citation:
Yu. V. Nemirovskii, T. P. Romanova, “Dynamic deformation of a curved plate with a rigid insert”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006), 126–138; J. Appl. Mech. Tech. Phys., 47:2 (2006), 254–265
\Bibitem{NemRom06}
\by Yu.~V.~Nemirovskii, T.~P.~Romanova
\paper Dynamic deformation of a curved plate with a rigid insert
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 2
\pages 126--138
\mathnet{http://mi.mathnet.ru/pmtf2138}
\elib{https://elibrary.ru/item.asp?id=16515870}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 2
\pages 254--265
\crossref{https://doi.org/10.1007/s10808-006-0051-y}
Linking options:
https://www.mathnet.ru/eng/pmtf2138
https://www.mathnet.ru/eng/pmtf/v47/i2/p126
This publication is cited in the following 3 articles:
T. P. Romanova, “Modeling the Dynamic Bending of Rigid-Plastic Hybrid Composite Curvilinear Plates with a Rigid Inclusion”, Mech. Solids, 54:5 (2019), 756
Aleksandr Starov, Sergei Kalashnikov, Andrey Chauskin, AIP Conference Proceedings, 1801, 2017, 040011
Yu. V. Nemirovskii, T. P. Romanova, “Dynamic deformation of rigid-plastic curvilinear plates of variable thickness”, J. Appl. Mech. Tech. Phys., 48:5 (2007), 712–722