Open AccessCompressed rectangular plates stability beyond the elastic limit
Author(s) -
T. Mavlonov,
Bakhtiyor Yuldoshev,
Kubaymurat Ismayilov,
S. Toshev
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/883/1/012199
Subject(s) - stability (learning theory) , elasticity (physics) , materials science , strain hardening exponent , limit analysis , square (algebra) , limit (mathematics) , structural engineering , failure assessment , diagram , bending , bending of plates , hardening (computing) , yield (engineering) , composite material , mathematics , geometry , mathematical analysis , finite element method , engineering , computer science , fracture mechanics , machine learning , statistics , layer (electronics)
The paper provides a detailed analysis of the methods for calculating the thin-walled structure stability under static and dynamic loads, and the results of well-known studies related to assessing the stability of thin-walled structures. The paper gives a methodology for assessing the thin-walled structure stability and the analysis of stability loss of rectangular plates beyond the elasticity of the material. The stability loss of rectangular plates beyond the elastic limit of the material is investigated in the paper. A formula is proposed for determining the longitudinal forces in a plate under a state of infinitely small bending. An analytical formula is given to assess stability for the case of a hinged supported rectangular plate compressed in two directions beyond the elastic limit at various widths (b)-thickness (h) ratios of the plate. The proposed diagram of the plate material strain is in good agreement with the Berlin – Dahlem experimental diagram. It was stated that under linear hardening of the material, a square plate of flexibility b / h ≥ 20, loses its stability within the yield strength. Beyond the yield strength, flexibility b / h < 5 corresponds to stability loss.