Open AccessTriangular finite element in a mixed formulation for a flate problem of elasticity theory
Author(s) -
Н. А. Гуреева,
V. V. Ryabukha
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1100/1/012047
Subject(s) - finite element method , elasticity (physics) , mathematics , work (physics) , matrix (chemical analysis) , stress (linguistics) , mixed finite element method , stress–strain curve , internal stress , deformation (meteorology) , internal forces , state (computer science) , mathematical analysis , geometry , structural engineering , physics , engineering , algorithm , materials science , mechanical engineering , linguistics , philosophy , meteorology , composite material , thermodynamics
Annotation. The algorithm for obtaining the stress-strain state matrix of a triangular finite element in a mixed formulation for calculating elastic structures under flat stress and flat deformation is analyzed. The nodal unknowns are assumed to be displacements and stresses. Approximation of desired quantities through the nodal values was carried out pelenanie functions. The stress-strain state matrix is obtained on the basis of a functional that reflects the equality of the actual work of external and internal forces when replacing the actual work of internal forces with the difference between the total and additional work of these forces. The calculation example shows the specificity of the algorithm.