Decay of Elastic Waves in Solids with Dislocations
- 1 July 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 35 (7) , 2170-2173
- https://doi.org/10.1063/1.1702811
Abstract
A nonlinear, time‐dependent, integral stress—strain relationship is formulated. Response functions for various powers of the retarded stress have transforms which satisfy dispersion relations. Characteristics and characteristic equations for one‐dimensional elastic—plastic wave propagation are developed. We assume that the mechanism for the decay of elastic waves is the same as the mechanism of ultrasonic internal friction. This permits us to evaluate the linear response function by comparison with frequency‐dependent internal friction theory and experiment. The functional form of the nonlinear response function is found.This publication has 9 references indexed in Scilit:
- Decay of Elastic Precursor WavesJournal of Applied Physics, 1963
- Elastic-Plastic Properties of IronJournal of Applied Physics, 1963
- Dynamic Yield Behavior of Explosively Loaded Metals Determined by a Quartz Transducer TechniqueJournal of Applied Physics, 1962
- Dislocation Damping in Copper at Kilocycle and Megacycle per Second FrequenciesJournal of Applied Physics, 1962
- Theory and Application of a Superposition Model of Internal Friction and CreepJournal of Applied Physics, 1961
- Modification of the Koehler-Granato-Lücke Dislocation Damping TheoryJournal of Applied Physics, 1961
- Modifications of the Lomnitz-Jeffreys' Law of CreepJournal of Applied Physics, 1959
- Linear Dissipation in SolidsJournal of Applied Physics, 1957
- Theory of Mechanical Damping Due to DislocationsJournal of Applied Physics, 1956