Abstract
The nonlinear phenomena of damping are analysed in detail and formulated in two integral transformations; the volume and time integrals. This formulation enables one to examine the relationship between damping and tensile experiments in the microstrain range, and to describe the phenomena consistently in terms of dislocation behavior. An analysis of the amplitude-dependent internal friction is made by the use of the breakaway and friction models under the quasi-static condition. The generalized friction model is presented, which is the most appropriate for the analysis of internal friction under the steady-state vibrations in usual experiments. Several convenient formulae are given for the interpretation on dislocation mechanisms. This approach includes some earlier work such as the Granato-Lücke theory and the Davidenkov-Pisarenko formulation as a special case. In addition, the applicability of the Granato-Lücke theory is critically examined with reference to recent observations of stress-strain hysteresis.
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