Abstract:
This paper studies solids with internal degrees of freedom using the method of Cartan moving hedron. Strain compatibility conditions are derived in the form of structure equations for manifolds. Constitutive relations are reviewed and ultimate load theorems are proved for rigid plastic solids with internal degrees of freedom. It is demonstrated how the above theorems can be applied in behavior analysis of rigid plastic continual shells of shape memory materials. The ultimate loads are estimated for rotating shells under external forces and in case of shape recovery from heating.
Citation:
V. A. Grachev, Yu. S. Nayshtut, “Ultimate load theorems for rigid plastic solids with internal degrees of freedom and their application in continual lattice shells”, Computer Research and Modeling, 5:3 (2013), 423–432
\Bibitem{GraNay13}
\by V.~A.~Grachev, Yu.~S.~Nayshtut
\paper Ultimate load theorems for rigid plastic solids with internal degrees of freedom and their application in continual lattice shells
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 3
\pages 423--432
\mathnet{http://mi.mathnet.ru/crm406}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-3-423-432}
Linking options:
https://www.mathnet.ru/eng/crm406
https://www.mathnet.ru/eng/crm/v5/i3/p423
This publication is cited in the following 1 articles:
V. A. Grachev, Yu. S. Naishtut, “Sploshnye sredy iz tonkikh plastin”, Kompyuternye issledovaniya i modelirovanie, 6:5 (2014), 655–670
Citation in format AMSBIB
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