Open AccessCalculation of the strength of objects of water management of the environment
Author(s) -
Н. А. Гуреева,
Р З Киселева,
А. П. Николаев,
A P Kiselev,
V V Ryabukha
Publication year - 2022
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/965/1/012005
Subject(s) - work (physics) , finite element method , internal forces , matrix (chemical analysis) , stress (linguistics) , section (typography) , nonlinear system , state (computer science) , point (geometry) , element (criminal law) , flow (mathematics) , rotation (mathematics) , mathematics , mechanics , geometry , structural engineering , computer science , engineering , physics , mechanical engineering , materials science , algorithm , law , political science , linguistics , philosophy , quantum mechanics , composite material , operating system
The article discusses the objects of water management of the environment. An algorithm for forming a matrix of the stress-strain state of a prismatic finite element with a triangular cross-section in a mixed formulation is proposed to take into account the physical nonlinearity of water management objects in the form of rotation shells. The basic relations of the flow theory for arbitrary loading are used. The desired displacements and stresses of the inner point of the finite element were approximated by linear functions in terms of their nodal values. The stress-strain state matrix was formed using a functional expressing the equality of the actual work of external and internal work of external and internal forces, in which the actual work of internal forces was represented by the difference between the total and additional work of these forces.