Research ArticleOpen AccessGoogle Scholar indexed
Evidence for the existence of localized plastic flow au-to-waves generated in deforming metals
- 1
- 2
Copy link · social · email
Abstract
The localized plastic flow auto-waves observed for the stages of easy glide and linear work hardening in a number of metals are considered. The propagation rates were determined expe- rimentally for the auto-waves in question with the aid of focused-image holography. The dispersion relation of quadratic form derived for localized plastic flow auto-waves and the dependencies of phase and group rates on wave number are discussed. A detailed comparison of the quantitative characteristics of phase and group waves has revealed that the two types of wave are closely related. An invariant is introduced for localized plastic flow phenomena occurring on the micro-and macro-scale levels in the deforming solid.
KeywordsMetallic MaterialsMechanical TestingOptical InterferometryStrengthening and MechanismsCrystal PlasticityFracture
- Zuev, L.B. (2001) Wave phenomena in low-rate plastic flow of solids. Annals of Physics, 10(11-12), 965-984.
- Zuev, L.B. (2007) On the waves of plastic flow loca- lization in pure metals and alloys. Annals of Physics, 16(1), 286-310.
- Zuev, L.B. and Danilov, V.I. (1999) A self-excited wave model of plastic deformation in solids. Philosophical Magazine A, 79(1), 43-57.
- Zuev, L.B. and Semukhin, B.S. (2002) Some acoustic properties of a deforming medium. Philosophical Maga-zine A, 82(6), 1183-1193.
- Zemskov, V.P. and Loskutov, A.Y. (2008) Oscillatory traveling waves in excitable media. Journal of Experi-mental and Theoretical Physics, 107(2), 344-349.
- Aifantis, E.C. (1996) Nonlinearly, periodicity and patter- ning in plasticity and fracture. International Journal of Non-Linear Mechanism, 31(8), 797-809.
- Aifantis, E.C. (1995) Pattern formation in plasticity. International Journal of Engineering Science, 33(15), 2161-2178.
- Aifantis, E.C. (2001) Gradient plasticity. In Lemaitre, J., Ed., Handbook of Materials Behavior Models, Acade- mic Press, New York, 291-307.
- Haken, H. (1988) Information and self-organization. A Macroscopic Approach to Complex Systems. Springer Verlag, Berlin.
- Zuev, L.B., Gorbatenko, V.V. and Polyakov, S.N. (2002) Instrumentation for speckle interferometry and techni- ques for investigating deformation and fracture. Procee- dings of SPIE, 4900, 1197-1208.
- Kolsky, H. (1963) Stress waves in solid. Dover, New York.
- Barannikova, S.A. (2004) Dispersion of the plastic strain localization waves. Technical Physics Letters, 30(4), 338-340.
- Scott, A. (2003) Nonlinear science. University Press, Oxford.
- Braun, O.M. and Kivshar, Y.S. (2004) The Frenkel- Kontorova model. Springer, Berlin.
- Donnay, J.D.H. (1963) Crystal data. Determinate Tables, Williams and Heintz Map Corp., Washington.
- Anderson, O.L. (1965) Determination and some applica- tions of the isotropic elastic constants of polycrystalline systems, obtained from single crystals data. In Mason, W. P., Ed., Physical Acoustics: Principles and Methods, 3B, Academic Press, New York, 43-95.
- Dirac, P.A.M. (1978) Directions in physics. John Wiley and Sons, New York.