Vol. 3, No. 2, 2008

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ISSN: 1559-3959
Dynamic rigid-plastic deformation of arbitrarily shaped plates

Tatiana Pavlovna Romanova and Yuri Vladimirovich Nemirovsky

Vol. 3 (2008), No. 2, 313–334
Abstract

A rigid, perfectly-plastic model of solids is applied to study the dynamic behavior of simply supported or clamped, arbitrarily shaped plates on visco-elastic foundation. The role of membrane forces and transverse shear forces in the yield condition and the influence of geometry changes are neglected. The plate is subjected to explosive loads uniformly distributed over the surface. Several mechanisms of dynamic deformation of the plate are considered. For each mechanism, equations of the dynamic behavior are obtained. Operating conditions of these mechanisms are analyzed. Analytical expressions for the limit and high loads and for the maximum final deflections are obtained. Detailed analyses are given for an astroid-shaped plate, for a plate with a contour consisting of two arcs and for a plate with an internal free hole or a rigid insert.

Keywords
rigid-plastic plate, arbitrarily shaped plate, dynamic load, limit load, final deflection
Milestones
Received: 17 April 2006
Revised: 11 May 2006
Accepted: 3 July 2007
Published: 1 February 2008
Authors
Tatiana Pavlovna Romanova
Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Science
Institutskaia str., 4/1
Novosibirsk, 630090
Russia
Yuri Vladimirovich Nemirovsky
Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Science
Institutskaia str., 4/1
Novosibirsk, 630090
Russia