The mathematical model of plasticity anisotropic beams bending

Authors

  • Galina V. Pavilaynen St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

Abstract

A plasticity anisotropic beam simply bearing by the ends and uniformly moment was considered. The resolving differential equation of curvature with non-linear coefficients was built. Taking up one beam with a known different yield limits under the stress and tension. The results for the elastic-plastic bending of beams with the SD-effect under a moment are discussed. To solve this problem, the standard Bernoulli- Euler hypotheses for beams and the model of perfect plasticity are used. The problem is solved analytically and the numerical example was considered. The solutions for beam made of isotropic material and material with the SD-effect are compared. So, mathematical model of the plasticity anisotropic beams bending are fully completed. The results may be used for another different loads. Refs 12. Figs 2. Tables 1.

Keywords:

elastoplastic bending, beam, Strength-Different effect

Downloads

Download data is not yet available.

Downloads

Published

2015-11-01

How to Cite

Pavilaynen, G. V. (2015). The mathematical model of plasticity anisotropic beams bending. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2(4), 633–638. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11199

Issue

Vol. 2 No. 4 (2015)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.

Most read articles by the same author(s)