THE ACCOUNT OF DISPLACEMENT OF THE FINAL ELEMENT AS RIGID WHOLE IN MIXED FORMULATION FEM

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Abstract


The volume finite element is developed for calculation of covers of rotation in shape hexahedron with central unknown persons in a kind a component of a vector of moving and a component tensor strains. For expression the component of a vector of moving of an internal point of a finite element and its component tensor strains through central unknown persons was used a way of interpolation vector and tensor fields three linear by form functions that has allowed to consider implicitly displacement of a finite element as the rigid whole. For formation of a matrix of deformation hexahedron the variation principle in the mixed formulation was used.
On an example efficiency of the offered way of approximation of required sizes as vector and tensor fields in comparison with traditional way of approximation of required sizes as scalar fields is shown.

About the authors

N A Gureeva

J V Klochkov

А P Nikolaev

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