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TECHNICAL PAPERS

Recent Developments in Gradient Plasticity—Part II: Plastic Heterogeneity and Wavelets

[+] Author and Article Information
Avraam A. Konstantinidis

Laboratory of Mechanics and Materials (LMM), Polytechnic School, Aristotle University of Thessaloniki, Thessaloniki, GR-54006 Greece e-mail: mom@mom.gen.auth.gr

Elias C. Aifantis

Laboratory of Mechnanics and Materials (LMM), Polytechnic School, Aristotle University of Thessaloniki, Thessaloniki, GR-54006 Greece Center for the Mechanics of Material Instabilities and Manufacturing Processes (MMINMP), Michigan Tech, Houghton, MI 49931

J. Eng. Mater. Technol 124(3), 358-364 (Jun 10, 2002) (7 pages) doi:10.1115/1.1479696 History: Received January 19, 2002; Revised February 19, 2002; Online June 10, 2002
Copyright © 2002 by ASME
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References

Konstantinidis, A, 2000, “Applications of Wavelets and Neural Networks Theory on the Mechanical Behavior of Materials,” Ph.D. thesis, Aristotle University of Thessaloniki, Thessaloniki, Hellas (in Greek).
Engelke,  C., and Neuhäuser,  H., 1995, “Static and Dynamic Strain Ageing in D03-Ordered Fe3Al,” Scr. Metall. Mater., 33, pp. 1109–1115.
Brinck,  A., Engelke,  C., and Neuhäuser,  H., 1997, “On the Temperature Dependence of Slip Inhomogeneity in Fe3Al,” Mater. Sci. Eng., A, 234–236, pp. 418–421.
Brinck,  A., Engelke,  C., Neuhäuser,  H., Molénat,  G., Rösner,  H., Langmaack,  E., and Nembach,  E., 1998, “Dislocation Processes in Fe3Al Investigated by Transmission Electron, Scanning Force and Optical Microscopy,” Mater. Sci. Eng., A, 258, pp. 32–36.
Brinck,  A., Engelke,  C., and Neuhäuser,  H., 1998, “Quantitative AFM Investigation of Slip Line Structure in Fe3Al Single Crystals After Deformation at Various Temperatures,” Mater. Sci. Eng., A, 258, pp. 37–41.
Daubechies, I., 1992, Ten Lectures on Wavelets, SIAM Press, Philadelphia, USA.
Aifantis,  E. C., 1984, “On the Microstructural Origin of Certain Inelastic Models,” ASME J. Eng. Mater. Technol., 106, pp. 326–330.
Aifantis,  E. C., 1987, “The Physics of Plastic Deformation,” Int. J. Plast. 3, pp. 211–247.
Zbib,  H. M., and Aifantis,  E. C., 1988, “On the Localization and Postlocalization Behavior of Plastic Deformation-I: On the Initiation of Shear Bands,” Res. Mech., 23, pp. 261–277.
Zbib,  H. M., and Aifantis,  E. C., 1988, “On the Localization and Postlocalization Behavior of Plastic Deformation-II: On the Evolution and Thickness of Shear Bands,” Res. Mech., 23, pp. 279–292.
Zbib,  H. M., and Aifantis,  E. C., 1988, “On the Localization and Postlocalization Behavior of Plastic Deformation-III: On the Structure and Velocity of the Portevin-Le Chatelier Bands,” Res. Mech., 23, pp. 293–305.
Zbib,  H. M., and Aifantis,  E. C., 1988, “On the Structure and Width of Shear Bands,” Scr. Metall., 22, pp. 703–708.
More, J. J., 1995, “The Levenberg-Marquardt Algorithm: Implementation and Theory,” Numerical Analysis, Lecture Notes in Mathematics, G. A. Watson, ed., Springer-Verlag, Heidelberg, Vol. 630, pp. 105–116.
Fleck,  N. A., Muller,  G. M., Ashby,  M. F., and Hutchinson,  J. W., 1994, “Strain Gradient Plasticity: Theory and Experiment,” Acta Metall. Mater., 42, pp. 475–487.
Tsagrakis, I., 2001, “The Role of Gradients in Elasticity and Plasticity. Analytical and Numerical Applications,” Ph.D. thesis, Aristotle University of Thessaloniki, Thessaloniki, Hellas (in Greek).
Stölken,  J. S., and Evans,  A. G., 1998, “A Microbend Test Method for Measuring the Plasticity Length Scale,” Acta Mater., 14, pp. 5109–5115.

Figures

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Localized clustered slip bands in Fe3Al appearing rapidly during deformation
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(a) Experimental height measurements 4; (b) spatial distribution of strain γ
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(a) Symmlet mother wavelet; (b) strain distribution at scale 9 of wavelet analysis
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Strain distribution coming from wavelet analysis at scales 7(a), 5(b), 3(c), and 1(d)
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Step height distribution coming from wavelet analysis at scales 7(a), 5(b), 3(c), and 1(d)
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Errors of the prediction: (a) scale 8; (b) scale 9
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Slip step height distribution prediction at a resolution higher than the experimental
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(a) Fitting of experimental data on torsional plastic flow of polycrystalline copper; (b) radial shear stress profile in torsion.
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Fitting of experimental data on bending plastic flow of Ni thin foils

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