Scientific journal
Scientific Review. Technical science
ISSN 2500-0799
ПИ №ФС77-57440

MIXED FINITE ELEMENT METHOD IN THREE-DIMENSIONAL PROBLEMS OF THE THEORY OF ELASTICITY

Lavygin D.S. 1
1 Ulyanovsk State University
We have built the algorithm of mixed finite element method in the three-dimensional theory of thermoelasticity. The formulation of the three-dimensional problem with cube-shaped finite element demanded creating appropriate shape functions, which was defined by tensor products of one-dimensional approximate functions. Four nodal matrices was built. Revealed that using the orthogonal finite functions in each of three nodal matrices with derivatives leads to fourfold reduce count of non-zero elements. The nodal matrix without derivatives can be represented as diagonal matrix that will leads as a result to significant reduce of non-zero elements of the global sparse system and accelerate calculations. New algorithms and models was released in form of software complex ViSolver, which let to solve the hard technical problems with high smoothness and precision for displacements, angles, strains and stresses.