Changes in post critical equilibrium and localization effects of elastic elongated plates

7th International Symposium Actual Problems of Computational Simulation in Civil Engineering

土木建筑工程;计算机科学

Manuilov, G.A.^1 ; Kositsyn, S.B.^2 ; Begichev, M.M.^3

Department of Structural Mechanics, Russian University of Transport (RUT (MIIT), 9b9 Obrazcova Street, Moscow, Russia^1

Head of Department of Theoretical Mechanics, Russian University of Transport (RUT (MIIT), 9b9 Obrazcova Street, Moscow, Russia^2

Department of Theoretical Mechanics, Russian University of Transport (RUT (MIIT), 9b9 Obrazcova Street, Moscow, Russia^3

关键词: FEM modeling;    Half-wave;    Linear elastic;    Localization effect;    Longitudinal shortening;    Rectangular plates;    Single soliton;    Soliton formation;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/456/1/012078/pdf
DOI  :  10.1088/1757-899X/456/1/012078

来源: IOP

【 摘 要 】

The influence of three hinged support variants on the lateral sides of linear elastic compressed elongated rectangular plate on its post critical equilibrium development is investigated. We consider cases of classical hinged support, rigid or elastic hinging, and also a variant of point hinged support. The latter is realized at the nodes during the FEM model of the plate. It was established (apparently for the first time) that within the last variant of the boundary conditions, at sufficiently strong longitudinal shortening of the plate, first a "pre-soliton" equilibrium appears (the appearance of lateral "half-dents" on the surface of the extreme half-waves) which turns into a single soliton-like ejection of bending deformations as a result of a load large decrease under conditions of kinematic loading. With the classical hinged support, the lateral sides of the plate remain rectilinear, as a result of which the soliton does not form; the "pre-soliton" equilibrium appears. If the plate has a rigid hinge fixation, the monotonic development of the post critical equilibrium will be interrupted by jumps of the load at the secondary symmetrical points and unstable bifurcations. In this case, no effects of localization and soliton formation were observed.