On jump conditions at non-material singular curves in the resultant shell thermomechanics

Violetta Konopińska-Zmysłowska; Wojciech Pietraszkiewicz

doi:10.1201/b15684-27

On jump conditions at non-material singular curves in the resultant shell thermomechanics

Abstract

The global, refined, resultant, two-dimensional (2D) balance laws of mass, linear and angular momenta, and energy as well as the entropy inequality were formulated by Pietraszkiewicz (2011) as exact implications of corresponding laws of 3D rational thermomechanics. In case of a shell with the regular base surface and all resultant surface fields differentiable everywhere on it and at any time instant, the local laws of the resultant shell thermomechanics in the referential (Lagrangian) description were also given. In the present contribution, on the undeformed base surface a moving, non-material, singular surface curve representing a discontinuous thermomechanical process is allowed at which some resultant surface fields may not be differentiable. In such a case, to derive the local field equations we have extended the surface transport relation and the surface divergence theorems. With these extensions, the referential local laws of the resultant shell thermomechanics are supplemented here by the corresponding referential jump conditions at the non-material singular curve moving relative to the reference base surface.

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Authors (2)

Violetta Konopińska-Zmysłowska dr hab. inż.
Wojciech Pietraszkiewicz
- PAN Instytut Maszyn Przepływowych

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Category:: Conference activity
Type:: materiały konferencyjne indeksowane w Web of Science
Title of issue:: Shell Structures: Theory and Applications. - Vo. 3 strony 117 - 120
Language:: English
Publication year:: 2014
Bibliographic description:: Konopińska V., Pietraszkiewicz W..: On jump conditions at non-material singular curves in the resultant shell thermomechanics, W: Shell Structures: Theory and Applications. - Vo. 3, 2014, CRC Press/ Balkema,.
DOI:: Digital Object Identifier (open in new tab) 10.1201/b15684-27
Verified by:: Gdańsk University of Technology