Open AccessStudy of stress-strain behavior of a compressed elastic strip
Author(s) -
N. V. Minayeva,
Sergey Gridnev,
Yuriy Skalko,
D. V. Sabynin
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012117
Subject(s) - rectangle , infinitesimal , mathematics , mathematical analysis , compressibility , displacement (psychology) , plane stress , stress intensity factor , stress (linguistics) , enhanced data rates for gsm evolution , geometry , mechanics , physics , finite element method , computer science , psychology , telecommunications , linguistics , philosophy , psychotherapist , thermodynamics
The paper considers the plane strain of a compressed elastic strip made from incompressible material. The deviation of the cross-section contour from the rectangle, as well as the intensity of the force applied to the upper and the lower edge of the section are known up to small parameters. The authors have carried out a study of the problem solution analyticity with respect to small near zero parameters. With the help of the perturbation method, they have found a solution for a particular case of the function describing the deviations up to the second order of smallness. It has been shown that if an experimental research is carried out and the applied force meets the condition described, the average stress and displacement values will differ from those typical for homogeneous state only by a second order infinitesimal.