Two-level micromechanical theory for a shape-memory alloy reinforced composite

International journal of plasticity

Volumn 16, Issue 10, 2000, Pages 1289-1307

  Lu, Z K ^a   Weng, G J ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUSTENITIC TRANSFORMATIONS; COMPOSITE MICROMECHANICS; INCLUSIONS; MARTENSITE; MARTENSITIC TRANSFORMATIONS; METALLOGRAPHIC MICROSTRUCTURE; NICKEL ALLOYS; SHAPE MEMORY EFFECT; STRAIN; STRESS ANALYSIS; TENSILE TESTING;

MARTENSITE MICROSTRUCTURE; NICKEL TITANIUM REINFORCED COMPOSITE; SHAPE MEMORY ALLOY REINFORCED COMPOSITE; TENSILE AXIAL LOADING; TWO LEVEL MICROMECHANICAL THEORY;

FIBER REINFORCED MATERIALS;

EID: 0033713883     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(00)00011-5     Document Type: Article

References (43)

1. Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mech. Mater. 6:1987;147-157.
2. Bhattacharyya A., Weng G.J. An energy criterion for the stress-induced martensitic transformation in a ductile system. J. Mech. Phys. Solids. 42:1994;1699-1724.
3. Bishop J.F.W., Hill R. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Phil. Mag. 42:1951;414-427.
4. Bishop J.F.W., Hill R. A theoretical derivation of the plastic properties of a polycrystalline face-centred metal. Phil. Mag. 42:1951;1298-1307.
5. Bowles J.S., Mackenzie J.K. The crystallography of martensitic transforma tions. Acta Metall. 2:1954;129-147.
6. Boyd J.G., Lagoudas D.C. Thermomechanical response of shape memory composites. J. Intell. Mater. Syst. Struct. 5:1994;333-346.
7. Boyd J.G., Lagoudas D.C. A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy. Int. J. Plasticity. 12:1996;805-842.
8. Christian J.W. The Theory of Transformations in Metals and Alloys. 1975;Pergamon, Oxford.
9. Cohen M., Wayman C.M. Fundamentals of martensitic reactions. Tien J.K., Elliott J.F. Metallurgical Treaties. 1981;445-468 TMS of AIME, Warrendale.
10. Delaey L., Krishnan R.V., Tas H., Warlimont H. Review. thermoelasticity, pseudoelasticity and the memory effects associated with martensitic transformations. Part I J. Mater. Sci. 9:1974;1521-1535.
11. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc., London. A241:1957;376-396.
12. Fisher F.D., Sun Q.P., Tanaka K. Transformation-induced plasticity (TRIP). Appl. Mech. Review. 49:1996;317-364.
13. Furuya Y., Sakaki A., Taya M. Enhanced mechanical properties of TiNi shape memory fiber/Al matrix composite. Mater. Trans. JIM. 34:1993;224-227.
14. Hamada K., Lee J.H., Mizuuchi, Taya M., Inoue K. Thermomechanical behavior of TiNi shape memory alloy fiber reinforced 6061 aluminum matrix composite. Metall. Mater. Trans. 29A:1998;1127-1135.
15. Huang M.S., Brinson L.C. A multivariant model for single crystal shape memory alloy behavior. J. Mech. Phys. Solids. 46:1998;1379-1409.
16. Khachaturyan A.G. Theory of Structural Transformations in Solids. 1983;Wiley, New York.
17. Lagoudas D.C., Boyd J.G., Bo Z. Micromechanics of active composites with SMA fibers. ASME J. Engng. Mater. Tech. 116:1994;337-347.
18. Liang C., Rogers C.A. One-dimensional thermomechanical constitutive relations for shape memory materials. J. Intell. Mater. Syst. Struct. 1:1990;207-234.
19. Lu, Z.K., 1997. Micromechanics of Single Crystal and Polycrystal Shape Memory Alloys. PhD dissertation, Rutgers University.
20. Lu Z.K., Weng G.J. Martensitic transformation and stress-strain relations of shape-memory alloys. J. Mech. Phys. Solids. 45:1997;1905-1928.
21. Lu Z.K., Weng G.J. A self-consistent model for the stress-strain behavior of shape-memory alloy polycrystals. Acta Mater. 46:1998;5423-5433.
22. Miyazaki S., Kimura S., Otsuka K., Suzuki Y. The habit plane and transformation strains associated with the martensitic transformation in Ti-Ni single crystals. Scripta Metall. 18:1984;883-888.
23. Mori T., Tanaka K. Average stress in the matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21:1973;571-574.
24. Mura T. Micromechanics of Defects in Solids. 2nd Edition:1987;Martinus Nijhoff, Dordrecht.
25. Otsuka K., Shimizu K. Pseudoelasticity and shape memory effects in alloys. Inst. Metals Rev. 31:1986;93-114.
26. Patel J.R., Cohen M. Criterion for the action of applied stress in the martensitic transformation. Acta Metall. 1:1953;531-538.
27. Patoor E., Eberhardt A., Berveiller M. Potentiel pseudoelastique et plasticite de transformation martensitique dans les mono- et polycristaux metalliques. Acta Metall. 35:1987;2779-2789.
28. Raniecki B., Lexcellent Ch. Thermodynamics of isotropic pseudoelasticity in shape memory alloys. Euro. J. Mech., A/Solids. 17:1998;185-205.
29. Salzbrenner R.J., Cohen M. On the thermodynamics of thermoelastic martensitic transformations. Acta Metall. 27:1979;739-748.
30. Sato Y., Tanaka K. Estimation of energy dissipation in alloys due to stress induced martensite transformation. Res. Mech. 23:1988;381-393.
31. Song G.Q., Sun Q.P., Cherkaoui M. Role of microstructure in the thermomechanical behavior of SMA composites. ASME J. Engng. Mater. Tech. 121:1999;86-92.
32. Sun Q.P., Hwang K.C. Micromechanics modeling for the constitutive behavior of polycrystailine shape memory alloys. I. Derivation of general relations. J. Mech. Phys. Solids. 41:1993;1-17.
33. Sun Q.P., Hwang K.C. Micromechanics modeling for the constitutive behavior of polycrystailine shape memory alloys. II. Study of individual phenomena. J. Mech. Phys. Solids. 41:1993;19-33.
34. Tanaka K. A thermomechanical sketch of shape memory effect. One-dimensional tensile behavior Res. Mech. 18:1986;251-263.
35. Warlimont H., Delaey L., Krishnan R.V., Tas H. Review. thermoelasticity, pseudoelasticity and the memory effects associated with martensitic transformations Part III. J. Mater. Sci. 9:1974;1545-1555.
36. Wayman C.M. Shape memory and related phenomena. Progr. Mater. Sci. 36:1992;203-224.
37. Wechsler M.S., Lieberman D.S., Read T.A. On the theory of formation of martensite. J. Metals Trans. AIME. 197:1953;1503-1515.
38. Weng G.J. Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions. Int. J. Engng. Sci. 22:1984;845-856.
39. Weng G.J. The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Walpole bounds. Int. J. Engng. Sci. 28:1990;1111-1120.
40. Weng G.J. Explicit evaluation of Willis' bounds with ellipsoidal inclusions. Int. J. Engng. Sci. 30:1992;83-92.
41. Willis J.R. Bounds and self-consistent estimates for the overall properties of anisotropic composites. J. Mech. Phys. Solids. 25:1977;185-202.
42. Wollants P., Roos J.R., Delaey L. Thermally- and stress-induced thermoelastic martensitic transformations in the reference frame of equilibrium thermodynamics. Progr. Mater. Sci. 37:1993;227-288.
43. Yamada Y., Taya M., Watanabe R. Strengthening of metal matrix composite by shape memory effect. Mater. Trans. JIM. 34:1993;254-260.