On an analytical estimation of characteristic lengths in pattern formation — application to fatigue

References

• Aifantis , E. C. 1982 . “ Dislocation kinetics and the formation of deformation bands ” . In Sih GS, Provan JW, Defects Fracture and Fatigue , 75 – 84 . Martinus-Nijhoff .
   Google Scholar
• Aifantis , E. C. 1984 . Remarks on media with microstructures . Int. J. Engg. Sci , 22 : 961
   Web of Science ®Google Scholar
• Frantziskonis , G. and Loret , B. 1995 . Scale dependent constitutive relations – information from wavelet analysis and applications to localization problems . Eur. J. Mechs. A/Solids , 14 : 873 – 892 .
   Web of Science ®Google Scholar
• Avlonitis , M. and Aifantis , E. C. On the statistical interpretation of scale-dependent gradient constitutive equations . to be appear in J. Mech. Behav ,
   Google Scholar
• Papoulis , A. 1984 . Probability, Random Variables and Stochastic Processes , 2nd , McGraw-Hill .
   Google Scholar
• Basinski , Z. S. and Basinski , S. J. 1992 . Prog. Mater. Sci , 36 : 89
   Web of Science ®Google Scholar
• Zaiser , M. , Avlonitis , M. and Aifantis , E. C. 1998 . Stochastic and deterministic aspects of strain localization during cyclic plastic deformation . Acta Mater , 46 : 4143 – 4151 .
   Web of Science ®Google Scholar
• Zaiser , M. and Aifantis , E. C. 1998 . On the dynamic interaction of moving dislocations . Appl. Phys , A66 : 393 – 397 .
   Google Scholar
• Schwab , A. , Bretschneider , J. , Buque , C. , Blochwitz , C. and Holste , C. 1996 . Application of electron channelling contrast to the investigation of strain localization effects in cyclically deformed fee crystals . Phill. Mag. Lett , 74 : 449 – 454 .
   Web of Science ®Google Scholar