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.
Authors
- dr hab. inż. Violetta Konopińska-Zmysłowska link open in new tab ,
- Wojciech Pietraszkiewicz
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1201/b15684-27
- Category
- Aktywność konferencyjna
- Type
- materiały konferencyjne indeksowane w Web of Science
- Language
- angielski
- Publication year
- 2014
