Mechanics of sheared bands - Applications to faults, twins and variants

Mechanics of Materials

Volumn 40, Issue 4-5, 2008, Pages 195-205

  Fischer, F D ^a   Antretter, T ^a   Oberaigner, E R ^a  

^a INSTITUTE OF MECHANICS   (Austria)

Author keywords

Elastic strain energy; Internal stress state; Micromechanical modeling; Twinning

Indexed keywords

MICROMECHANICS; STRAIN ENERGY; STRESS ANALYSIS; TWINNING;

ELASTIC STRAIN ENERGY; INTERNAL STRESS STATE; MICROMECHANICAL MODELING;

SHEAR BANDS;

EID: 37449017659     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2007.07.004     Document Type: Article

References (23)

1. Appel F. An electron microscope study of mechanical twinning and fracture in TiAl alloys. Philos. Mag. 85 (2005) 205-231
2. Appel F., Fischer F.D., and Clemens H. Precipitation twinning. Acta Mater. 55 (2007) 4915
3. Böhm H.J., Fischer F.D., and Reisner G. Evaluation of elastic strain energy of spheroidal inclusions with uniform volumetric and shear eigenstrains. Scr. Mater. 36 (1997) 1053-1059 2003, Scr. Mater. 49, 107
4. Chen M., Ma E., Hemker K.J., Sheng H., Wang Y., and Cheng X. Deformation twinning in nanocrystalline aluminium. Science 300 (2003) 1275-1277
5. Christian J.W., and Mahajan S. Deformation twinning. Prog. Mater. Sci. 39 (1995) 1-157
6. Evans A.G., Burlingame N., Drory M., and Kriven W.M. Martensitic transformations in zirconia particle size effects and toughening. Acta Metall. 29 (1981) 447-456
7. Fischer F.D., Appel F., and Clemens H. A thermodynamical model for the nucleation of mechanical twins in TiAl. Acta Mater. 51 (2003) 1249-1260
8. Fischer F.D., Schaden T., Appel F., and Clemens H. Mechanical twins, their development and growth. Eur. J. Mech. A: Solids 22 (2003) 709-726
9. Fischer F.D., Schaden T., Appel F., and Clemens H. Continuum mechanics of deformation twinning - a review. Mulitdiscipl. Model. Mater. Struct. 2 (2006) 167-188
10. Fu Y., Evans A.G., and Kriven W.M. Microcrack nucleation in ceramics subject to a phase transformation. J. Am. Ceram. Soc. 67 (1984) 626-630
11. Kachanov M., Shafiro B., and Tsurkov I. Handbook of Elasticity Solutions (2003), Kluwer Academic Publishers, Dordrecht p. 53 ff
12. Maciejewski G., Stupkiewicz S., and Petryk H. Elastic micro-strain energy at the austenite-twinned martensite interface. Arch. Mech. 57 (2005) 277-297
13. Meyers M.A., Mishra A., and Benson D.J. The deformation physics of nanocrystalline metals: experiments, analysis, and computations. JOM April (2006) 41-48
14. Petryk H., Fischer F.D., Marketz W., Clemens H., and Appel F. An energy approach to the formation of discrete twin bands in polycrystallin solids. Metall. Mater. Trans. A 34A (2003) 2827-2836
15. Romanov A.E. Mechanics and physics of disclinations in solids. Eur. J. Mech. A: Solids 22 (2003) 727-741
16. Romanov A.E., and Vladimirov V.I. Disclinations in crystalline solids. In: Nabarro F.R.N. (Ed). Dislocations in Solids vol. 9 (1992), Elsevier Science Publishers B.V., Amsterdam 191-402 Chapter 47, Sect. 5
17. Roytburd A.L. Thermodynamics of polydomain heterostructures, I. Effect of macrostresses. J. Appl. Phys. 83 (1998) 228-238
18. Roytburd A.L. Thermodynamics of polydomain heterostructures, II. Effect of microstresses. J. Appl. Phys. 83 (1998) 239-245
19. Sridhar N., Rickman J.M., and Srolovitz D.J. Twinning in thin films - I. Elastic analysis. Acta Mater. 44 (1996) 4085-4096
20. Waitz T. The self-accommodated morphology of martensite in nanocrystalline NiTi shape memory alloys. Acta Mater. 53 (2005) 2273-2283
21. Waitz T., and Karnthaler H.P. Martensitic transformation of NiTi nanocrystals embedded in an amorphous matrix. Acta Mater. 52 (2004) 5461-5469
22. Waitz T., Antretter T., Fischer F.D., Simha N.K., and Karnthaler H.P. Size effects on the martensitic phase transformation of NiTi nanograins. J. Mech. Phys. Solids 55 (2007) 419-444
23. Yan W.Y., Reisner G., and Fischer F.D. Micromechanical study on the morphology of martensite in constrained zirconia. Acta Mater. 45 (1997) 1969-1976