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

Inhalt

1 Foundations and equations of continuum mechanics.- 2 Plasticity theory and internal friction in materials.- 3 Three-dimensional cyclic deformations of elastoplastic materials.- 4 Single-frequency vibrations in elastoplastic bodies.- 5 Random deformation of elastoplastic materials.- 6 Random vibrations of elastoplastic bodies.- 7 Propagation of vibration in a nonlinear dissipative medium.- 8 Propagation of vibration in media with complex structure.- References.