Abstract
In the framework of a plane problem of elasticity theory in strength analysis based on the finite element method in the hybrid formulation, we suggest that the approximation of displacements and stresses be used as magnitudes of vector and tensor fields, respectively. The quadrilateral finite element, the displacements and stresses of which are accepted as nodal unknowns is proposed. The mixed Reissner functional is applied to form a finite element deformation matrix.
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Sedov, L.I., Mekhanika sploshnoi sredy (Continuum Mechanics), Moscow: Nauka, 1976.
Postnov, V.A. and Kharkhurim, I.Ya., Metod konechnykh elementov v raschetakh sudovykh konstruktsii (Finite Element Analysis of Ship Structures), Leningrad: Sudostroenie, 1974.
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Original Russian Text © N.A. Gureeva, 2009, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, 2009, No. 2, pp. 8–11.
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Gureeva, N.A. Solving a plane problem of elasticity theory with the use of a hybrid FEM formulation. Russ. Aeronaut. 52, 138–144 (2009). https://doi.org/10.3103/S1068799809020020
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DOI: https://doi.org/10.3103/S1068799809020020