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Some non-classical problems for thin structures

Ziel

The problem of the elastic equilibrium of a power-type cusped plate under the action of point-concentrated shearing forces and bending moments such as those already considered by some team members in the case of a half-plane will be solved in explicit form within the framework the Kirchhoff-Love and Reissner-Mindlin models.

The phenomenology of concentrated contact interactions will be illustrated by means of the solutions in case of a half-plane of the equilibrium problems for cusped prismatic shells (the N=0 approximation of I. Vekua's hierarchical models) and cusped plates (Kirchhoff-Love and Reissner-Mindlin models). Full analysis of the reformulation of physical boundary conditions for mathematical moments will be carried out. The problem of the elastic equilibrium of a power-type cusped plate under the action of concentrated at point and along the cusped edge shearing forces and bending moments in the case of a half-plane will be solved in the explicit forms within the framework of the Kirchhoff-Love and Reissner-Mindlin models.

The problem of the elastic equilibrium of a power-type cusped prismatic shell under the action of concentrated at point and along the cusped edge zero moments and the weighted first moments in the case of a half-plane will be solved in the explicit forms within the framework of the zero and first approximations of I.Vekua's hierarchical models. The hierarchical models of the thermoelastic plates, prismatic shells of the variable thickness and bars of the variable area of the cross-section including cusped ones will be constructed and investigated. Relation of the solutions of problems of hierarchical models to the corresponding solutions of problems of 3D thermoelasticity will be studied. Concrete problems in the first approximations will be studied.

Asymptotically exact solutions of formulated problems will be found and an analysis of solution will be carried out. Recommendations on optimal choice of geometrical parameters of layered packet used in various areas of construction and technique will be given. Asymptotically exact solutions of formulated problems will be found and an analysis of solution will be carried out. Obtained results can be used in modern instrumental engineering, particularly in devices of non-destructive control. Stability and vibrations of elastic and piezoelastic plates with account of transverse shear deformations will be investigated.

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UNIVERSITÀ DI ROMA "TOR VERGATA"
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Adresse
VIALE POLYTECNICO, 1
ROMA
Italien

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Letzte Aktualisierung: 16 März 2017

Mein Booklet

Permalink: https://cordis.europa.eu/project/id/INTAS2006-1000017-8886/de

European Union, 2024