On the Lüders band formation and propagation in NiTi shape memory alloys

•Both the B19′ martensite and B2 austenite can form Lüders band.•Lüders band initiation strain rate is two orders of magnitude of the applied strain rate.•Lüders band forms with a finite minimum width.•Lüders band propagates with a transition zone half of the band minimum width.•Transition zone local strain rate is more than one order of magnitude of the applied strain rate.