Open AccessPlastic stiffness matrix of a plane rod macroelement for discrete-analytical strength computation
Author(s) -
Vladimir Glukhikh,
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A. M. Maslennikov,
L. N. Kondratieva,
Vladimir Meleshko,
М. В. Сухотерин,
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Publication year - 2021
Publication title -
vestnik graždanskih inženerov
Language(s) - English
Resource type - Journals
ISSN - 1999-5571
DOI - 10.23968/1999-5571-2021-18-6-66-71
Subject(s) - stiffness , stiffness matrix , structural engineering , matrix (chemical analysis) , computation , plane (geometry) , rod , planar , nonlinear system , cross section (physics) , macro , plasticity , mathematical analysis , mathematics , mechanics , materials science , geometry , physics , engineering , computer science , composite material , medicine , alternative medicine , computer graphics (images) , algorithm , pathology , quantum mechanics , programming language
The paper considers a discrete-analytical solution of the plane strength problem, with the rod system being under elastic-plastic loading, and the rod performance is considered fundamentally important for the study. Simplifications are proposed in determining the plastic stiffness matrix of the rod element using the integral function of the law of the section state. A mathematical model has been developed to determine the tangential stiffness of a cross-section of the rod of a variable form at a time step, during elastic-plastic camputation. The results of a physically nonlinear calculation of the planar system with the articulation of a large number of rod macro-elements are presented.