Vibrations of Elasto-Plastic Bodies

the long version

Underservedly little attention is paid in the vast literature on the theories of vibration and plasticity to the problem of steady-state vibrations in elastoplastic bodies. This problem, however, is of considerable interest and has many important applications. The problem of low-cyclic fatigue of metals and the the applied theory of amplitude-dependent internal damping are two of those. Contents: Foundations and equations of continuum mechanics; Plasticity theory and internal friction in materials; Three-dimensional cyclic deformations of elastoplastic materials; Single-frequency vibrations in elastoplastic bodies; Random deformation of elastoplastic materials; Random vibrations of elastoplastic bodies; Propagation of vibration in a nonlinear dissipative medium; Propagation of vibration in media with complex studies.