Extension of the Vook-Witt and inverse Vook-Witt elastic grain-interaction models to general loading states

Philosophical Magazine

Volumn 87, Issue 26, 2007, Pages 3921-3943

  Welzel, U ^a   Freour S ^a,b  

^a MAX PLANCK INSTITUTE FOR INTELLIGENT SYSTEMS   (Germany)

^b INSTITUT DE RECHERCHE EN GÉNIE CIVIL ET MÉCANIQUE GEM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC CONSTANTS; ELASTIC DEFORMATION; MATHEMATICAL MODELS; STRESS ANALYSIS; TEXTURES; X RAY DIFFRACTION;

MECHANICAL STRESS TENSOR; ROTATIONALLY SYMMETRIC STATES; STRESS FACTORS; VOOK-WITT MODELS;

STRUCTURAL LOADS;

EID: 34547962252     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430701203176     Document Type: Article

References (21)

1. P.D. Chinh, Phil. Mag. 86 205 (2006).
2. E. Kröner, J. Phys. F: Metal Phys. 8 2261 (1978).
3. V. Hauk (Editor), Structural and Residual Stress Analysis by Nondestructive Methods (Elsevier, Amsterdam, 1997).
4. U. Welzel and E.J. Mittemeijer, J. Appl. Phys. 93 9001 (2003).
5. U. Welzel, S. Fréour and E.J. Mittemeijer, Phil. Mag. 85 2391 (2005).
6. U. Welzel, J. Ligot, P. Lamparter, et al., J. Appl. Cryst. 38 1 (2005).
7. W. Voigt, Lehrbuch der Kristallphysik (Teubner, Leipzig, 1910).
8. A. Reuss, Z. Angew. Math. Mech. 9 49 (1929).
9. H. Neerfeld, Mitt. K.-Wilh.-Inst. Eisenforschg. 24 61 (1942).
10. R. Hill, Proc. Phys. Soc. London A 65 349 (1952).
11. E. Kröner, Z. Phys. 151 504 (1958).
12. M. van Leeuwen, J.-D. Kamminga and E.J. Mittemeijer, J. Appl. Phys. 86 1904 (1999).
13. M. Leoni, U. Welzel, P. Lamparter, et al., Phil. Mag. A 81 597 (2001).
14. U. Welzel, M. Leoni and E.J. Mittemeijer, Phil. Mag. 83 603 (2003).
15. U. Welzel, M. Leoni and E.J. Mittemeijer, in Diffraction Analysis of the Microstructure of Materials, edited by E.J. Mittemeijer and P. Scardi (Springer, Berlin, 2004), pp. 363-390.
16. R.W. Vook and F. Witt, J. Appl. Phys. 36 2169 (1965).
17. N. Koch, U. Welzel, H. Wem and E.J. Mittemeijer, Phil. Mag. 84 3547 (2004).
18. C Giacovazzo, H.L. Monaco, D. Vioterbo, et al., Fundamentals of Crystallography (Oxford Science, Oxford, 1998).
19. J.M. Sprauel and L.Castex, Mater. Sci. Forum 79/82 143 (1991).
20. R.-J. Roe and W.R. Krigbaum, J. Chem. Phys. 40 2608 (1964).
21. M.A. Meyers and K.K. Chawla, Mechanical Metallurgy, Principles and Applications (Prentice-Hall, Englewood Cliffs, NJ, 1984), p. 57.