Improvement of Finite-Elemental Algorithms Calculation of Strength of Meliorative Systems.

Autor: Klochkov, Yuriy V., Nikolaev, Anatoliy P., Vakhnina, Olga V., Sobolevskaya, Tatiana A., Klochkov, Mikhail Yu.
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Zdroj: AIP Conference Proceedings; 2020, Vol. 2216 Issue 1, p080001-1-080001-6, 6p, 1 Chart
Abstrakt: Triangular finite elements are widely used in the discretization of thin-walled structural elements of arbitrary shape. The compatibility of such elements, both in displacements and in their derivatives, is carried out only in the nodes of the sampling grid. At the boundaries of the elements, there is no continuity with respect to the derivatives of displacements. Improving the conditions for the continuity of the sought quantities by the finite element method (FEM) at the boundaries of adjacent finite elements is an important practical task. The aim of the work is the development and implementation of an algorithm to improve the compatibility conditions of the required FEM values at the boundaries between adjacent finite elements to increase the accuracy of finite element solutions. On the discretization grid of shells of elliptic type in the midpoints of the sides of adjacent triangular finite elements based on indefinite Lagrange multipliers, the equality of the derivatives of normal displacements is realized for adjacent finite elements. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index