On Waves of Loading and Unloading, Arising from the Motion of an Elastic or Plastic Flexible Fibre

摘要

The work consists of three sections. In the first section, with the aid of the method of characteristics, consideration is given to transverse and longitudinal waves propagating in a flexible (elastic or plastic) fibre. The tension is presupposed as a given function of strain. In the second section, the motion of a semi-infinite fibre is considered. The force of the reaction at the end of the fibre is such, that the material of that part exceeds the limit of elasticity. Waves of loading and unloading are investigated with the hypothesis of ideal plasticity. The third section is devoted to the same problem in the case of a linear approximation. (Author)