Geometrically non-linear modeling of the Portevin–Le Chatelier effect

摘要: Abstract In this work we investigate the plastic instabilities associated with Portevin–Le Chatelier (PLC) effect in Al alloy 2024. A semi-phenomenological approach is taken. simple geometrically non-linear elastic–viscoplastic constitutive model proposed for simulation of material response under various applied strain rates. Using determine numerically relation between critical onset discontinuous yielding and rate. The results obtained are very good quantitative agreement available experimental data (collected from tests at room temperature) cover both normal inverse behavior strain. simulations performed using finite element method. Additional verification framework was carried out statistical analysis simulated stress–time series. transition a chaotic regime to self-organized localized bands were predicted terms temporal two-point correlation function Finally investigated influence different factors, such as geometry specimen, its orientation respect rolling direction loading conditions (strain rate), on type PLC their onset.