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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2012 Volume 12, Issue 3, Pages 56–62 (Mi isu314)

Mechanics

Calculation plainly loaded geometrically nonlinear designs on the basis of mixed FEM with tenzorno-vector approximation requires sizes

N. A. Gureeva

Volgograd State Agricultural Academy, Chair of Higher Mathematics

Abstract: The algorithm of reception on a step of loading designs matrixes of deformation of a volume final element with cross-section section in the form of any quadrangle with central unknown persons in the form of increments of movings and increments of deformations is stated in mixed formulation FEM.
For numerical realization of algorithm it is used functional, received of a condition of equality of possible and valid works of external and internal forces on a step loading.

Key words: vector approximation, tensor approximation, vector field, tensor field, mixed formulation, variation principle.

UDC: 539.3

DOI: 10.18500/1816-9791-2012-12-3-56-62



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