Exact resultant equilibrium conditions in the non-linear theory of branching and self-intersecting shells

Violetta Konopińska-Zmysłowska; Wojciech Pietraszkiewicz

doi:10.1016/j.ijsolstr.2006.04.030

Exact resultant equilibrium conditions in the non-linear theory of branching and self-intersecting shells

Abstract

We formulate the exact, resultant equilibrium conditions for the non-linear theory of branching and self-intersecting shells. The conditions are derived by performing direct through-the-thickness integration in the global equilibrium conditions of continuum mechanics. At each regular internal and boundary point of the base surface our exact, local equilibrium equations and dynamic boundary conditions are equivalent, as expected, to the ones known in the literature. As the new equilibrium relations we derive the exact, resultant dynamic continuity conditions along the singular surface curve modelling the branching and self-intersection as well as the dynamic conditions at singular points of the surface boundary. All the results do not depend on the size of shell thicknesses, internal through-the-thickness shell structure, material properties, and are valid for an arbitrary deformation of the shell material elements.

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Authors (2)

Violetta Konopińska-Zmysłowska dr hab. inż.
Wojciech Pietraszkiewicz

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Publication version: Accepted or Published Version
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.ijsolstr.2006.04.030
License: Copyright (2006 Elsevier Ltd.)

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES no. 44, pages 352 - 369,
ISSN: 0020-7683
Language:: English
Publication year:: 2007
Bibliographic description:: Konopińska-Zmysłowska V., Pietraszkiewicz W.: Exact resultant equilibrium conditions in the non-linear theory of branching and self-intersecting shells// INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. -Vol. 44, nr. iss. 1 (2007), s.352-369
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.ijsolstr.2006.04.030
Verified by:: Gdańsk University of Technology