Construction and solution of strain model along thickness ofaluminum alloy plate under plastic deformation
(1. School of Mechanical and Electrical Engineering,
Central South University of Forestry and Technology, Changsha 410004,China;
2. School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China)
Central South University of Forestry and Technology, Changsha 410004,China;
2. School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China)
Abstract: A thickness strain modelof aluminium alloy plate under plastic deformation, based on thin plate assumption was proposed. It is found that when ratio of stress fractions is constant during in-plane loading, ratios of strain components under various loading conditions are linearly related and these points of ratios form a η-η line. Under these simple loadings, strains in thickness direction can be easily calculated by the η-η line equation without integral and differential work. When the plate is under more complicated loading conditions, the thickness can be computed by the proposed optimization and piecewise calculation model. Validation computations indicate that the relative error of the results of the presented model is less than 0.75% compared with the proven theories and FE simulation. Therefore, the developed model can be applied to engineering calculation, e.g. pre-stretching analysis of aerospace aluminium thick plate, with acceptable accuracy.
Key words: isotropic linear hardening; thick plate; strain model; plastic deformation; aluminum alloy