Extended non-linear relations of elastic shells undergoing phase transitions

Wojciech Pietraszkiewicz; Victor Eremeyev; Violetta Konopińska-Zmysłowska

doi:10.1002/zamm.200610309

Extended non-linear relations of elastic shells undergoing phase transitions

Abstract

The non-linear theory of elastic shells undergoing phase transitions was proposed by two first authors in J. Elast. 79, 67-86 (2004). In the present paper the theory is extended by taking into account also the elastic strain energy density of the curvilinear phase interface as well as the resultant forces and couples acting along the interface surface curve itself. All shell relations are found from the variational principle of stationary total potential energy. In particular, we derive the extended natural continuity conditions at coherent and/or incoherent surface curves modelling the phase interface. The continuity conditions allow one to establish the final position of the interface surface curve after the phase transition. The results are illustrated by an example of a phase transition in an infinite plate with a central hole.

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik no. 87, pages 150 - 159,
ISSN: 0044-2267
Language:: English
Publication year:: 2007
Bibliographic description:: Pietraszkiewicz W., Eremeyev V., Konopińska-Zmysłowska V.: Extended non-linear relations of elastic shells undergoing phase transitions// ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. -Vol. 87, nr. No. 2 (2007), s.150-159
DOI:: Digital Object Identifier (open in new tab) 10.1002/zamm.200610309
Verified by:: Gdańsk University of Technology