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Proceedings Paper

Geometrically and physically nonlinear shell theory in convective description
Author(s): M. Herold; R. John; V. Ulbricht
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Paper Abstract

Starting from the basic equations of the 3D continuum a shell theory will be derived, considering geometrically and physically nonlinear effects, transverse shear strains and thickness stretching. Motion is described using a material description with convected coordinates. This means the independent variables are the material coordinates (theta) i of the material points P and the time t. Due to the specifics of this description the shape of the coordinate lines, the base vector system and the metric are dependent on space and time. In this case a rate formulation of the field equations proves to be useful, which leads to a nonlinear initial-boundary value problem. The nonlinearity is implied in the initial value problem whereas the boundary value problem is linear in terms of displacement rates.

Paper Details

Date Published: 25 January 2000
PDF: 16 pages
Proc. SPIE 4064, Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (25 January 2000); doi: 10.1117/12.375458
Show Author Affiliations
M. Herold, Technische Univ. Dresden (Germany)
R. John, Technische Univ. Dresden (Germany)
V. Ulbricht, Technische Univ. Dresden (Germany)


Published in SPIE Proceedings Vol. 4064:
Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering
Alexander I. Melker, Editor(s)

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