V. D. Solovei

A VARIATIONAL PRINCIPLE FOR THE DISTURBANCES OF PARTICLE VELOCITIES IN THE FLOW OF A PERFECTLY PLASTIC STRIP UNDER ROLLING

The slow plane flow of a perfectly plastic strip under rolling is considered. The Prandtl friction law is assumed to be valid on the contact surface between the strip and the roller. A variational principle enabling one to build a set of velocity disturbances in order to study the stability of the stationary flow of a perfectly plastic strip at an arbitrary time is proved.

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