Michell-like grillages and structures with locking

• Autorzy: Lewiński, T. , Telega, J. J.
• Konferencja: Solid Mechanics Conference (33 ; 05-09.09.2000 ; Zakopane)
• Języki publikacji: EN

Abstrakty

EN

The paper generalizes the Michell theory of plane pseudo-continua to the anti-plane problems in which the loading is perpendicular to the plane of the structure. The starting point is the minimum compliance problem for a two-phase Kirchhoff plate. Upon relaxation, one of the materials can be degenerated to a void (or microvoids) and by imposing the condition of the volume being small, one arrives at the Michell-like problem for a locking plate. The locking locus B is determined explicitly; it tends to a square if the Poisson ratio tends to 1. In the last case the locking locus coincides with that used in the Rozvany-Prager theory of optimal grillages. A theory of perfectly-locking and elastic-locking plates and shells, not necessarily isotropic, is formulated. Dual extremum and existence theorems are also given.

Słowa kluczowe

EN

Michell theory; theory of perfectly locking and elastic-locking plates and shells

• Czasopismo: Archives of Mechanics
• Rocznik: 2001
• Tom: Vol. 53, nr 4-5
• Strony: 457-485
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Lewiński, T.

autor

Telega, J. J.

• Warsaw University of Technology, Faculty of Civil Engineering, Armii Ludowej 16, 00-637 Warsaw, Poland,