Advertisement

Nonlinearity and Selforganization in Plasticity and Fracture

  • E. C. Aifantis
Part of the NATO ASI Series book series (NSSE, volume 183)

Abstract

Even though there is strong evidence of multiplicity, nonlinearity and selforganization in plasticity, there is not a general consensus or systematic effort to utilize recent methods of nonlinear physics for understanding bifurcation and pattering of deformation phenomena. An approach recently advocated by the author and his co-workers is briefly outlined here. Emphasis is put on illustrating the origin of plastic instabilities at various levels of observation. Details are given on the problem of the persistent slip bands noted, for example, during cyclic deformation of Cu-monocrystals, and of the Portevin-Le Chatelier bands noted, for example, during monotonic deformation of Al-5% Mg polycrystals. Finally, the problem of viscoelastic peeling is outlined in the appendix and its relation to fracture is pointed out.

Keywords

Shear Band Peel Test Persistent Slip Band Uniform Steady State Monotonic Deformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aifantis, E.C. (1983). Dislocation kinetics and the formation of deformation bands, Defects, Fracture and Fatigue, (G.C. Sih and J.W. Provan, eds.), pp. 75-84, Martinus-Nijhoff.Google Scholar
  2. Aifantis, E.C. (1984a). On the microstructural origin of certain inelastic models, J. Mat. Engng. Tech., 106, 326 - 330.CrossRefGoogle Scholar
  3. Aifantis, E.C. (1984b). On the mechanics of modulated structures, Modulated Structure Materials, (T. Tsakalakos, ed.), pp. 357-385, Martinus-Nijhoff.Google Scholar
  4. Aifantis, E.C. (1985). Continuum models for dislocated states and media with microstructures. Mechanics of Dislocations, (E.C. Aifantis and J.P. Hirth, eds.), pp. 127-146, Metals Park.Google Scholar
  5. Aifantis, E.C. (1986a). Mechanics of microstructures I, II, III. Mechanical Properties and Behaviour of Solids: Plastic Instabilities, (V. Balakrishnan and C.E. Bottani, eds.), pp. 314 - 353, World Scientific, Singapore.Google Scholar
  6. Aifantis, E.C. (1986b). On the dynamical origin of dislocation patterns. Mat. Sci. Eng., 81, 563 - 574.CrossRefGoogle Scholar
  7. Walgraef, D. and E.C. Aifantis (1985a). On the formation and stability of dislocation patterns - I, II, III. Int. J. Eng. Sci., 23, 1351-1358, 1359-1364, 1365 - 1372.CrossRefGoogle Scholar
  8. Walgraef, D. and E.C. Aifantis (1985b). Dislocation Patterning in fatigued metals as a result of dynamical instabilities. J. Appl. Phys., 58, 688 - 691.CrossRefGoogle Scholar
  9. Walgraef, D. and E.C. Aifantis (1986). Dislocation patterning in fatigued metals: Labyrinth structures and rotational effects. Int. J. Eng. Sci., pp. 1789 - 1798.Google Scholar
  10. Walgraef, D. and E.C. Aifantis (1988). Plastic instabilities, dislocation patterns and nonequilibrium phenomena. Res Mechanica, 23, 161 - 195.Google Scholar
  11. Triantafyllidis, N. and E.C. Aifantis (1986). A gradient approach to localization of deformation - I. Hyperelastic materials. J. of Elasticity, 16, 225 - 238.CrossRefGoogle Scholar
  12. Zbib, H.M. and E.C. Aifantis (1988a). On the localization and postlocalization behaviour of plastic deformation - I: On the initiation of shear bands; II: On the evolution and thickness of shear bands; III: On the structure and velocity of the Portevin-Le Chatelier Bands. Res Mechanica, 23, 261-277; 279-292; 293 - 305.Google Scholar
  13. Zbib, H.M. and E.C. Aifantis (1988b). On the structure and width of shear bands. Scripta Met., 22, 703 - 708.CrossRefGoogle Scholar
  14. Zbib, H.M. and E.C. Aifantis (1988c). A gradient-dependent model for the Portevin-Le Chatelier effect. Scripta Met., 22, 1331 - 1336.CrossRefGoogle Scholar
  15. Aifantis, E.C. (1987). The physics of plastic deformation. Int. J. Plasticity, 3, 211-247.Google Scholar
  16. Estrin, Y. and L.P. Kubin (1988). Plastic instabilities: Classification and physical mechanisms. Res Mechanica, 23, 197-221. [In: Material Instabilities, Special Issue of Res Mechanica, Vol. 23, E.C. Aifantis et al., eds.].Google Scholar

Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • E. C. Aifantis
    • 1
  1. 1.Dept. of Mechanical Engineering-Engineering MechanicsMichigan Technological UniversityHoughtonUSA

Personalised recommendations