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Title: Elastic-plastic deformations of a beam with the SD-effect

Abstract

The results for the bending of a cantilever beam with the SD-effect under a concentrated load are discussed. To solve this problem, the standard Bernoulli-Euler hypotheses for beams and the Ilyushin model of perfect plasticity are used. The problem is solved analytically for structural steel A40X. The SD-effect for elastic-plastic deformations is studied. The solutions for beam made of isotropic material and material with the SD-effect are compared.

Authors:
 [1]
  1. Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetsky prospekt, 28, St. Petersburg, 198504 (Russian Federation)
Publication Date:
OSTI Identifier:
22391075
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BENDING; COMPARATIVE EVALUATIONS; ELASTICITY; HYPOTHESIS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; PLASTICITY; STEELS

Citation Formats

Pavilaynen, Galina V. Elastic-plastic deformations of a beam with the SD-effect. United States: N. p., 2015. Web. doi:10.1063/1.4912549.
Pavilaynen, Galina V. Elastic-plastic deformations of a beam with the SD-effect. United States. doi:10.1063/1.4912549.
Pavilaynen, Galina V. Tue . "Elastic-plastic deformations of a beam with the SD-effect". United States. doi:10.1063/1.4912549.
@article{osti_22391075,
title = {Elastic-plastic deformations of a beam with the SD-effect},
author = {Pavilaynen, Galina V.},
abstractNote = {The results for the bending of a cantilever beam with the SD-effect under a concentrated load are discussed. To solve this problem, the standard Bernoulli-Euler hypotheses for beams and the Ilyushin model of perfect plasticity are used. The problem is solved analytically for structural steel A40X. The SD-effect for elastic-plastic deformations is studied. The solutions for beam made of isotropic material and material with the SD-effect are compared.},
doi = {10.1063/1.4912549},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1648,
place = {United States},
year = {Tue Mar 10 00:00:00 EDT 2015},
month = {Tue Mar 10 00:00:00 EDT 2015}
}