The Ananthakrishna model,seeking to explain the Portevin-Le Chatelier effect,is studied with or without non-synchronous perturbations.For the unperturbed model,Bogdanov-Takens bifurcation and zeroHopf bifurcation are ...The Ananthakrishna model,seeking to explain the Portevin-Le Chatelier effect,is studied with or without non-synchronous perturbations.For the unperturbed model,Bogdanov-Takens bifurcation and zeroHopf bifurcation are detected.For the perturbed model,rich dynamical behaviors are given by researching the Poincarémap,including solutions of different periods,quasi-periodic solutions,chaotic solutions,and bistability.Moreover,an augmented temperature-dependent perturbation amplitude induces a transition from non-serrated to serrated flow on the stress-time curve.Notably,on the stress-strain curve,the phenomenon of repeated yielding diminishes with an increase in the value of a temperature-dependent parameter,while it persists with an increase in the value of a temperature-independent parameter.Sensitivity analysis sheds light on the factors exerting the most significant influence on dislocation density.展开更多
基金supported by National Natural Science Foundation of China(12201577,U23A2065,52071298)Key Scientific and Technological Project of Henan Province(232102320136)。
文摘The Ananthakrishna model,seeking to explain the Portevin-Le Chatelier effect,is studied with or without non-synchronous perturbations.For the unperturbed model,Bogdanov-Takens bifurcation and zeroHopf bifurcation are detected.For the perturbed model,rich dynamical behaviors are given by researching the Poincarémap,including solutions of different periods,quasi-periodic solutions,chaotic solutions,and bistability.Moreover,an augmented temperature-dependent perturbation amplitude induces a transition from non-serrated to serrated flow on the stress-time curve.Notably,on the stress-strain curve,the phenomenon of repeated yielding diminishes with an increase in the value of a temperature-dependent parameter,while it persists with an increase in the value of a temperature-independent parameter.Sensitivity analysis sheds light on the factors exerting the most significant influence on dislocation density.
