Ultimate load theorems for rigid plastic solids with internal degrees of freedom and their application in continual lattice shells

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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.

Keywords: rigid plastic solids, Cartan hedron, constitutive equations, ultimate load, shape memory, rotating shells
Citation in English: Grachev V.A., Nayshtut Yu.S. Ultimate load theorems for rigid plastic solids with internal degrees of freedom and their application in continual lattice shells // Computer Research and Modeling, 2013, vol. 5, no. 3, pp. 423-432
Citation in English: Grachev V.A., Nayshtut Yu.S. Ultimate load theorems for rigid plastic solids with internal degrees of freedom and their application in continual lattice shells // Computer Research and Modeling, 2013, vol. 5, no. 3, pp. 423-432
DOI: 10.20537/2076-7633-2013-5-3-423-432
According to Crossref, this article is cited by:
  • V. A. Grachev, Yu. S. Nayshtut. Solids composed of thin plates. // Computer Research and Modeling. 2014. — V. 6, no. 5. — P. 655. DOI: 10.20537/2076-7633-2014-6-5-655-670
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Citations: 2 (RSCI).

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