Variation-Difference Analysis of Elastoplastic Deformation of Rotation Bodies Using Triangular and Tetragonal Cells

The paper deals with discrete sampling methods used in numerical analysis of axisymmetric quasi-static stress-strain state of rotation bodies using the Lagrange principle. The geometrical correlations are used in the form of Cauchy equations, physical relationships are described by Ilyushin’s deformation plasticity theory. A method of linear approximation is used. The paper gives examples of triangular and tetragonal cells to investigate the influence of polygonal shapes approximating the investigated area on the problem solution. The simulation results match the calculations.

теория упругости и пластичности, тело вращения, перемещения, деформации, напряжения, вариационный принцип Лагранжа, дискретизация, треугольные и четырёхугольные ячейки, решение системы линейных алгебраических уравнений, theory of elasticity and plasticity, rotation body, displacement, deformation, stress, Lagrange principle, discrete sampling, triangular and tetragonal cells, solution of linear algebraic equations

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