Compressed rectangular plates stability beyond the elastic limit

Abstract

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.