Time-dependent constitutive law for materials with microstructural evolution

Mechanics of Materials

Volumn 33, Issue 2, 2001, Pages 63-76

  Mueller, Ralf ^a   Gross, Dietmar ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CREEP; DISLOCATIONS (CRYSTALS); EIGENVALUES AND EIGENFUNCTIONS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; MICROSTRUCTURE; PHASE TRANSITIONS;

HOMOGENIZATION; MACROSCOPIC CREEPS; MICROSTRUCTURAL EVOLUTIONS;

COMPOSITE MICROMECHANICS;

EID: 0035252239     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(00)00053-3     Document Type: Article

References (32)

1. 3 Si precipitates in binary Ni-Si alloys Mater. Sci. Eng. A. 185:1994;153-163.
2. Ardell A., Nicholson R. On the modulated structure of aged Ni-Al alloys. Acta Metall. 14:1966;1205-1309.
3. Bacon D., Barnett D., Scattergood R. Anisotropic continuum theory of lattice defects. Progr. Mater. Sci. 23:1979;55-262.
4. Eshelby J. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc. R. Soc. Lond. A. 241:1957;376-396.
5. Gurtin M. The nature of configurational forces. Arch. Rational Mech. Anal. 131:1995;67-100.
6. Hornbogen E., Roth M. Die Verteilung hohärenter Teilchen in Nickellegierungen. Z. Metallkde. 58:1967;842-855.
7. Ignat M., Buffiere J.-Y., Chaix J. Microstructures induced by a stress gradient in a nickel-based superalloy. Acta Metall. Mater. 41(3):1993;855-862.
8. Johnson W., Berkenpas M., Laughlin D. Precipitate shape transitions during coarsening under uniaxial stress. Acta Metall. 36(2):1988;3149-3162.
9. Johnson W., Cahn J. Elastically induced shape bifurcations of inclusions. Acta Metall. 32(11):1984;1925-1933.
10. 2 J. Am. Ceram. Soc. 69(7):1986;564-569.
11. Lee J. Coherency strain analysis via discrete atom method. Scr. Metall. Mater. 32(4):1995;559-564.
12. Lee J. Effects of applied stress on coherent precipitates via a disctrete atom method. Metals Mater. 2(3):1996;183-193.
13. Lee J. A study on coherency strain precipitate morphology via a discrete atom method. Metall. Mater. Trans. A. 27:1996;1449-1459.
14. Lee J. Morphology of coherent precipitates via a discrete atom method. Mater. Sci. A. 238:1997;1-12.
15. Leo P., Lowengrub J., Jou H. A diffuse interface model for microstructural evolution in elastically stressed solids. Acta Mater. 46(6):1998;2113-2130.
16. Leo P., Sekerka R. The effect of surface stress on crystal-melt and crystal-crystal equilibrium. Acta Metall. 37(12):1989;3119-3138.
17. Lu Z., Weng G. Martensitic transformation and stress-strain relations of shape memory alloys. J. Mech. Phys. Solids. 45(11/12):1997;1905-1928.
18. Lubliner J. Plasticity Theory. 1990;Macmillan, New York.
19. Mueller R., Gross D. 3D simulation of equilibrium morphologies of precipitates. Comput. Mater. Sci. 11:1998;35-44.
20. Mueller R., Gross D. 3D inhomogeneous, misfitting second phase particles- equilibrium shapes and morphological development. Comput. Mater. Sci. 16:1999;53-60.
21. Mura T. Micromechanics of Defects in Solids. 1987;Martinus Nijhoff, Dordrecht.
22. Nemat-Nasser S., Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. 1993;North-Holland, Amsterdam.
23. Pollock T., Argon A. Directional coarsening in nickel-base single crystals with high volume fractions of coherent precipitates. Acta. Metall. Mater. 43(6):1994;1859-1874.
24. Schmidt I., Gross D. A strategy for determinig the equilibrium shape of an inclusion. Arch. Mech. 47(2):1995;379-390.
25. Schmidt I., Gross D. The equilibrium shape of an elastically inhomogeneous particle. J. Mech. Phys. Solids. 45(9):1997;1521-1549.
26. Schmidt I., Mueller R., Gross D. The effect of elastic inhomogeneity on equilibrium and stability of a two particle morphology. Mech. Mater. 30:1998;181-196.
27. Su C., Voorhees P. The dynamics of precipitate evolution in elastically stressed solids - I, inverse coarsening. Acta Mater. 44(5):1996;1987-1999.
28. Su C., Voorhees P. The dynamics of precipitate evolution in elastically stressed solids - II, particle alignment. Acta Mater. 44(5):1996;2001-2016.
29. Thompson M., Su C., Voorhees P. The equilibrium shape of a misfitting precipitate. Acta Metall. Mater. 42(6):1994;2107-2122.
30. Voorhees P., McFadden G., Johnson W. On the morphological development of second-phase particles in elastically-stressed solids. Acta Metall. Mater. 40(11):1992;2979-2992.
31. Wang Y., Chen L.-Q., Khachaturyan A. Kinetics of strain-induced morphological transformation in cubic alloys with a miscibility gap. Acta Metall. Mater. 41(1):1993;279-296.
32. 2 J. Am. Ceram. Soc. 79(4):1996;967-991.