Axisymmetric plane stress states of an annulus subject to displacive shear transformation

Journal of Applied Mechanics, Transactions ASME

Volumn 72, Issue 1, 2005, Pages 44-53

  Chi, Yuwei ^a   Pence, Thomas J ^a   Tsai, Hungyu ^a  

^a Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PHASE FRACTION FIELDS; SHEAR TRANSFORMATION; THRESHOLD STRESSES; TRANSFORMATION STRAIN;

BOUNDARY VALUE PROBLEMS; CRYSTAL STRUCTURE; MARTENSITIC TRANSFORMATIONS; PHASE TRANSITIONS; SCHEMATIC DIAGRAMS; SHAPE MEMORY EFFECT; STRESS ANALYSIS;

SHEAR STRENGTH;

EID: 14644392113     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1828062     Document Type: Article

References (19)

1. Birman, V., 1999, "Analysis of an Infinite Shape Memory Alloy Plate With a Circular Hole Subjected to Biaxial Tension," Int. J. Solids Struct., 36(1), pp. 167-178.
2. Birman, V., 1997, "Review of Mechanics of Shape Memory Alloy Structures," Appl. Mech. Rev., 50(11), pp. 629-645.
3. Bernardini, D., and Pence, T. J., 2002, "Shape-Memory Materials, Modeling," Encyclopedia of Smart Matertals, M. Schwartz, ed., J. Wiley & Sons, New York, pp. 964-979.
4. Bondaryev, E. N., and Wayman, C. M., 1988, "Some Stress-Strain-Temperature Relationships for Shape Memory Alloys," Metall. Trans. A, 19A(10), pp. 2407-2413.
5. Gall, K., Sehitoglu, H., Maier, H. J., and Jacobus, K., 1998, "Stress-Induced Martensitic Phase Transformation in Polycrystalline CuZnAl Shape Memory Alloys Under Different Stress States," Metall. Mater. Trans. A, 29A(3), pp. 765-773.
6. Lim, T. J., and McDowell, D. L., 1999, "Mechanical Behavior of an Ni-Ti Shape Memory Alloy Under Axial-Torsional Proportional and Nonproportional Loading," ASME J. Eng. Mater. Technol., 121(1), pp. 9-18.
7. Giannakopoulos, A. E., and Olsson, M., 1993, "Axisymmetric Deformation of Transforming Ceramic Rings," Mech. Mater., 16(3), pp. 295-316.
8. Budiansky, B., Hutchinson, J. W., and Lambropoulos, J. C., 1983, "Continuum Theory of Dilitant Transformation Toughening in Ceramics," Int. J. Solids Struct., 19(4), pp. 337-355.
9. Nadai, A., 1950, Theory of Flow and Fracture of Solids, McGraw-Hill, New York, pp. 472-481.
10. Chi, Y., Pence, T. J., and Tsai, H., 2003, "Plane Stress Analysis of a Shape Memory Annular Plate Subject to Edge Pressure," J. Phys. IV, 112, pp. 245-248.
11. Briggs, J. P., and Ostrowski, J. P., 2002, "Experimental Feedforward and Feedback Control of a One-Dimensional SMA Composite," Smart Mater. Struct., 11(1), pp. 9-23.
12. Qidwai, M. A., and Lagoudas, D. C., 2000, "On Thermomechanics and Transformation Surfaces of Polycrystalline NiTi Shape Memory Alloy Material," Int. J. Plast., 16, pp. 1309-1343.
13. Briggs, J. P., and Ponte Castaneda, P., 2002, "Variational Estimates for the Effective Response of Shape Memory Alloy Actuated Fiber Composites," ASME J. Appl. Mech., 69(4), pp. 470-480.
14. Delaey, L., Krishnan, R. V., Tas, H., and Warlimont, H., 1974, "Review: Thermoelasticity, Pseudoelasticity and the Memory Effects Associated With Martensitic Transformations. Part 1: Structural and Microstructural Changes Associated With the Transformations," J. Mater. Sci., 9, pp. 1521-1535.
15. Liang, C., and Rogers, C. A., 1990, "One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials," J. Intell. Mater. Syst. Struct., 1, pp. 207-234.
16. Ivshin, Y., and Pence, T. J., 1994, "A Constitutive Model for Hysteretic Phase Transition Behavior," Int. J. Eng. Sci., 32(4), pp. 681-704.
17. Gillet, Y., Meunier, M. A., Brailovski, V., Trochu, F., Patoor, E., and Berveiller, M., 1995, "Comparison of Thermomechanical Models for Shape Memory Alloy," J. Phys. IV, 5(C8), pp. 1165-1170.
18. Budiansky, B., 1958, "Extension of Michell's Theorem to Problems of Plasticity and Creep," Q. Appl. Math., 16, pp. 307-309.
19. Roberts, S. M., and Shipman, J. S., 1972, Two-Point Boundary Value Problems: Shooting Methods, American Elsevier, New York.