An overview of applications of the mesomechanical approach to shape memory phenomena - Completed by a new application to two-way shape memory

Journal of Intelligent Material Systems and Structures

Volumn 19, Issue 1, 2008, Pages 3-17

  Kafka, V ^a  

^a INSTITUTE OF THEORETICAL AND APPLIED MECHANICS   (Czech Republic)

Author keywords

Mesomechanics; Shape memory; Two way shape memory

Indexed keywords

DEFORMATION; INTELLIGENT MATERIALS; MATHEMATICAL MODELS;

MESOMECHANICS; TWO WAY SHAPE MEMORY;

SHAPE MEMORY EFFECT;

EID: 37249019672     PISSN: 1045389X     EISSN: 15308138     Source Type: Journal    
DOI: 10.1177/1045389X06075657     Document Type: Article

References (56)

1. Airoldi, G., Corsi, A. and Riva, G. 1998. '' Step-wise Martensite to Austenite Reversible Transformation Stimulated by Temperature or Stress: A Comparison in NiTi Alloys, '' Materials Science and Engineering, A241 (1 - 2). 233 - 240.
2. Auricchio, F. and Stefanelli, U. 2005. '' Well-posedness and Approximation for a One-dimensional Model for Shape Memory Alloys,'' Mathematical Models & Methods in Applied Sciences, 15 (9). 1301 - 1327.
3. Boyd, J.G. and Lagoudas, D.C. 1996 a. '' A Thermodynamical Constitutive Model for Shape Memory Materials. Part I. The Monolithic Shape Memory Alloy '' International Journal of Plasticity, 12 (6). 805 - 842.
4. Boyd, J.G. and Lagoudas, D.C. 1996 b. '' A Thermodynamical Constitutive Model for Shape Memory Materials. Part II. The SMA Composite Material, '' International Journal of Plasticity, 12 (7). 843 - 873.
5. Christian, J.W. 1982. '' Deformation by Moving Interfaces, '' Metallurgical Transactions A, 13A (4). 509 - 538.
6. Cingolani, E., Ahlers, M. and Sade, M. 1995. '' The Two Way Shape Memory Effect in Cu-Zn-Al Single Crystals: Role of Dislocations and Stabilization, '' Acta Metall. Mater., 43 (6). 2451 - 2461.
7. Contardo, L. 1988. '' Studies of Approaches to Training, Stability and the Origin of Two-way Shape Memory Effect in a Cu-Zn-Al Alloy,'' (in French), These no 88ISAL0048, INSA Lyon.
8. De Araujo, C.J. 1999. '' The Cyclic Behavior of the Fibers of Shape Memory Alloys Ti-Ni-Cu: an Electro-thermomechanical Analysis, Degradation and Fatigue Caused by Thermal Cycling under Constraint '' (in French), These no 99 ISAL 0021, INSA Lyon.
9. Falk, F. 1993. '' On Constitutive Theories of Shape Memory Alloys Undergoing a Structural Phase Transformation, '' In: Proc. VIII. Conf. Continuum Models of Discrete Systems, Paderborn 1992, Materials Science Forum, 123-125: 91-100.
10. Fuentes, J.M.G., Gmpel, P. and Strittmatter, J. 2002. '' Phase Change behavior of Nitinol Shape Memory Alloys, '' Advanced Engineering Materials, 4 (7). 437 - 451.
11. Gall, K. and Sehitoglu, H. 1999. '' The Role of Texture in Tension-compression Asymmetry in Polycrystalline NiTi, '' International Journal of Plasticity, 15 (1). 69 - 92.
12. Goldstein, D., Kabacoff, L. and Tydings, J. 1987. '' Stress Effects on Nitinol Phase Transformations, '' J. of Metals, 39 (3). 19 - 26.
13. Graesser, E.J. and Cozzarelli, F.A. 1994. '' A Proposed 3-dimensional Constitutive Model for Shape-memory Alloys, '' Journal of Intelligent Material Systems and Structures, 5 (1). 78 - 89.
14. Guilemany, J.M. and Fernandez, J. 1995. '' Mechanism of Two-way Shape Memory Effect Obtained by Stabilised Stress Induced Martensite, '' Journal de Physique IV, Colloque C2, supplement to Journal de Physique III, 5 (February): 355 - 359.
15. Kafka, V. 1994 a. '' Shape Memory: A New Concept of Explanation and of Mathematical Modelling. Part I: Micromechanical Explanation of the Causality in the SM Processes, '' Journal of Intelligent Material Systems and Structures, 5 (6). 809 - 814.
16. Kafka, V. 1994 b. '' Shape Memory: A New Concept of Explanation and of Mathematical Modelling. Part II: Mathematical Modelling of the SM Effect and Pseudoelasticity, '' Journal of Intelligent Material Systems and Structures, 5 (6). 815 - 824.
17. Kafka, V. 1999. '' Shape Memory under Complex Loading: Mesomechanical Modeling, '' Acta Technica CSAV, 44 (1). 17 - 33.
18. Kafka, V. 2001. Mesomechanical Constitutive Modeling, World Scientific, Singapore, New Jersey, London, Hong Kong.
19. Kafka, V. and Vokoun, D. 1998. '' Two-way Shape Memory: Its Nature and Modeling, '' Acta Technica CSAV, 43 (4). 375 - 391.
20. Kafka, V. and Vokoun, D. 2000 a. '' Shape Memory Elements in Bending: Influence of the Shape of their Cross-section, '' Journal of Intelligent Material Systems and Structures, 11 (12). 977 - 984.
21. Kafka, V. and Vokoun, D. 2000 b. '' Heterogeneity on the Atomic Scale and Shape Memory Phenomena, '' In: Potier-Ferry, M. and Toth, L.S. (eds), 4th Proc. Euromech Solid Mechanics Conference, Vol. 2. p. 570, Metz, France, June 26-30, Universit de Metz, Metz 2000.
22. Kafka, V. and Vokoun, D. 2005. '' On Backstresses, Overstresses, and Internal Stresses Represented on the Mesoscale, '' International Journal of Plasticity, 21 (8). 1461 - 1480.
23. Kafka, V. and Vokoun, D. 2006. '' Background of Two Characteristic Features of Shape Memory Phenomena, '' Journal of Intelligent Material Systems and Structures, 17 (6). 511 - 520.
24. Kainuma, R., Matsumoto, M. and Honma, T. 1986. '' The Mechanism of the All-round Shape Memory Effect in a Ni-rich TiNi Alloy, '' In: Proceedings of the International Conference on Martensitic Transformations, pp. 717-722, The Japan Institute of Metals, Sendai.
25. Kawai, M., Ogawa, H., Baburaj, V. and Koga, T. 1999. '' Multiaxial Constitutive Modeling for R-phase and M-phase Transformations of TiNi Shape Memory Alloys, '' Arch. Mech., 51 (6). 665 - 692.
26. Kudoh, Y., Tokonami, M., Miyazaki, S. and Otsuka, K. 1985. '' Crystal Structure of the Martensite in Ti-49.2at.%Ni Alloy Analyzed by the Single Crystal X-Ray Diffraction Method, '' Acta Metall., 33 (11). 2049 - 2056.
27. Lagoudas, D.C. and Bo, Z. 1999. '' Thermomechanical Modeling of Polycrystalline SMAs under Cyclic Loading, Part II: Material Characterization and Experimental Results for a Stable Transformation Cycle, '' Int. J Eng. Sci., 37 (9). 1141 - 1173.
28. Lagoudas, D.C., Entchev, P.B., Popov, P., Patoor, E., Brinson, L.C. and Gao, X. 2006. '' Shape Memory Alloys, Part II: Modeling of Polycrystals, '' Mechanics of Materials, 38 (5 - 6). 430 - 462.
29. Lahoz, R. and Puertolas, J.A. 2004. '' Training and Two-way Shape Memory in NiTi Alloys: Influence on Thermal Parameters, '' Journal of Alloys and Compounds, 381 (1 - 2). 130 - 136.
30. Leclercq, S. and Lexcellent, C. 1996. '' A General Macroscopic Description of the Thermomechanical Behavior of Shape Memory Alloys, '' J. Mech. Phys. Solids, 44 (6). 953 - 980.
31. Lexcellent, C. and Bourbon, G. 1996. '' Thermodynamical Model of Cyclic Behaviour of Ti-Ni and Cu-Zn-Al Shape Memory Alloys under Isothermal Undulated Tensile Tests, '' Mech. of Mat., 24 (1). 59 - 73.
32. Lexcellent, C., Leclercq, S., Gabry, B. and Bourbon, G. 2000. '' The Two Way Shape Memory Effect of Shape Memory Alloys: An Experimental Study and a Phenomenological Model, '' Intern. J Plasticity, 16 (10 - 11). 1155 - 1168.
33. Liang, C. and Rogers C.A., 1992. '' A Multi-dimensional Constitutive Equations of Shape Memory Alloys,'' Journal of Engineering Mathematics, 26 (2). 429 - 443.
34. Liu, Y. and McCormic, P.G. 1990. '' Factors Influencing the Development of Two-way Shape Memory Effect, '' Acta Metall. Mater., 38 (7). 1321 - 1326.
35. Meng, X.L., Cai, W. and Zhao, L.C. 2005. '' Effect of Deformation on the Phase Transformation and Two-way Shape Memory Effect in a Ti-Ni-Hf High Temperature Shape Memory Alloy, '' Rare Metal Materials and Engineering, 34 (3). 355 - 358.
36. Miller, D.A. and Lagoudas, D.C. 2000. '' Thermo-mechanical Characterization of NiTiCu and NiTi SMA Actuators: Influence of Plastic Strains, '' Smart Materials and Structures, 9 (5). 640 - 652.
37. Miyazaki, S., Otsuka, K. and Suzuki, Y. 1981. '' Transformation Pseudoelasticity and Deformation Behaviour in a Ti-50.6at%Ni Alloy, '' Scripta Metall., 15 (3). 287 - 292.
38. Miyazaki, S. and Otsuka, K. 1986. '' Deformation and Transformation Behaviour Associated with the R-phase in Ti-Ni Alloys, '' Metall. Transactions, 17A (1). 53 - 63.
39. Mller, Ch. and Bruhns, O.T. 2006. '' A Thermodynamic Finite-strain Model for Pseudoelastic Shape Memory Alloys, '' International Journal of Plasticity, 22 (9). 1658 - 1682.
40. Paiva, A., Savi, M.A., Braga, A.M.B. and Pacheco, P.M.C.L. 2005. '' A Constitutive Model for Shape Memory Alloys Considering Tensile-Compressive Asymmetry and Plasticity, '' International Journal of Solids and Structures, 42 (11 - 12). 3439 - 3457.
41. Patoor, E., Barke, P., Eberhardt, A. and Berveiller, M. 1991. '' Internal Stress Effect in the Shape Memory Behaviour, '' Journal de Physique IV (Colloque C4, supplement to J. de Physique III, Vol. 1). 95 - 100.
42. Patoor, E., Lagoudas, D.C., Entchev, P.B., Brinson, L.C. and Gao, X. 2006. '' Shape Memory Alloys, Part I: General Properties and Modeling of Single Crystals, '' Mechanics of Materials, 38 (5 - 6). 391 - 429.
43. Perkins, J. 1981. '' Shape Memory Behavior and Thermoelastic Martensitic Transformations, '' Mater. Sci. Engng., 51 (2). 181 - 192.
44. Ren, X., Miura, N., Zhang, J., Otsuka, K., Tanaka, K., Koiwa, M., Suzuki, T., Chumlyakov, Yu. I. and Asai, M. 2001. '' A Comparative Study of Elastic Constants of Ti-Ni-based Alloys Prior to Martensitic Transformation, '' Materials Science and Engineering A, 312 (1 - 2). 196 - 206.
45. Solovyev, L.A. and Khatchin, V.N. 1974. '' The Effect of Internal Stresses on the Process of Phase Transformation in Alloys Titanium-nickel and Copper-zinc-silicon, '' (in Russian), Fizika Metallov i Metallovedenie, 37 (5). 1095 - 1097.
46. Stoeckel, D., Hornbogen, E., Ritter, F. and Tautzenberger, P. 1988. '' Alloys with Shape Memory, '' (In German), Expert-Verlag, Kontakt & Studium, Bd. 259, Ehningen bei Bblingen.
47. Stoeckel, D. and Waram, T. 1991. '' Thermo-variable Rate Springs; A New Concept for Thermal Sensor-actuators, '' Springs 30, special leaflet No. 2.
48. Sun, Q.P. and Hwang, K.C. 1993. '' Micromechanics Modeling for the Constitutive Behavior of Polycrystalline Shape Memory Alloys-II. Study of the Individual Phenomena, '' J. Mech. Phys. Solids, 41 (1). 1 - 17.
49. Tadaki, T., Otsuka, K. and Shimizu, K. 1988. '' Shape Memory Alloys,'' Annual Reviews Mat. Science, 18 (August): 25 - 45.
50. Tanaka, K., Hayashi, T. and Itoh, Y. 1992. '' Analysis of Thermomechanical Behaviour of Shape Memory Alloys, '' Mech. of Mat., 13 (3). 207 - 215.
51. Vokoun, D. and Kafka, V. 1996. '' On Mathematical Modelling of the Incomplete Transformations in Pseudoelastic Processes in Binary Alloys, '' In: Gobin, P.F. and Tatibout, J. (eds), Proc. 3rd International Conference on Intelligent Materials, Vol. 2779, pp. 541 - 545, Lyon, France, June 3-5, SPIE.
52. Vokoun, D. and Kafka, V. 1998. '' Training of Two-way Shape Memory Effect in NiTi Wire: One Experimental Procedure, '' Acta Technica CSAV, 43 (5). 507 - 513.
53. Vokoun, D., Kafka, V. and Hu, C.T. 2003. '' Recovery Stresses Generated by NiTi Shape Memory Wires under Different Constraint Conditions, '' Smart Mater. Struct. 12 (5). 680 - 685.
54. Wayman, C.M. 1988. '' Fundamentals of the Shape Memory Effect, '' In: Abstracts of the Conference 'Engineering with Shape Memory ', pp. 15 - 17, Michigan State University.
55. Zhang, X.M., Fernandez, J., Guilemany, J.M., Li, B., Liu, M. and Sha, X.W. 2001. '' Role of Oriented Stress Fields in Two-way Shape-memory Alloys, '' Mater. Sci. Forum, 394 (3). 221 - 224.
56. Zhang, X.D., Rogers, C.A. and Liang, C. 1997. '' Modelling of the Two-way Shape Memory Effect, '' J. Intel. Mat. Syst. and Structures, 8 (4). 353 - 362.