Аннотация:The stress-strain state arising under dynamic stretching of a homogeneous sheet of anincompressible ideally rigid-plastic material, which obeys the Mises–Hencky criterion, is studied.The lateral boundary is stressfree and the longitudinal velocities are given at the ends. The possibilityof thickening or thinning of the cross section along the length of the sheet is taken into account,which simulates necking and further development of the neck. Two characteristic stretching regimesare revealed: one of them depends on the velocity at which the end sections move away from eachother and the other one depends on their acceleration. For the second regime, the asymptoticintegration-based analysis allows approximately determining the stress-strain state parameters.