Sun, Qingping; Hwang, Kehchih Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. II: Study of the individual phenomena. (English) Zbl 0767.73063 J. Mech. Phys. Solids 41, No. 1, 19-33 (1993). Summary: The constitutive relation for various phenomena of shape memory alloys (superelasticity, rubber-like elasticity, ferro-elasticity, elastic anomaly, shape memory effect) is studied in detail and compared with the available experimental data. It is shown that the micromechanical model developed in Part I [see the foregoing entry] can satisfactorily describe the main peculiarities of the macroscopic thermomechanical constitutive behavior in the course of uniaxial mechanical and/or thermal loadings and that the existing phenomenological models are special cases of the proposed theory under proportional loading conditions. Some theoretical predictions and discussions for complex loading paths are also given which are yet subject to experimental verification. Cited in 27 Documents MSC: 74A60 Micromechanical theories 74M25 Micromechanics of solids 74A20 Theory of constitutive functions in solid mechanics 74A15 Thermodynamics in solid mechanics Keywords:superelasticity; rubber-like elasticity; ferro-elasticity; elastic anomaly; shape memory effect; proportional loading conditions; complex loading paths PDFBibTeX XMLCite \textit{Q. Sun} and \textit{K. Hwang}, J. Mech. Phys. Solids 41, No. 1, 19--33 (1993; Zbl 0767.73063) Full Text: DOI References: [1] Abrahams, S. C., Mater. Res. Bull., 6, 881 (1971) [2] Aizu, K., J. Phys. Soc. Japan, 27, 387 (1969) [3] Christian, J. W., Metall. Trans. A, 13A, 509 (1982) [4] Funakubo, H., Shape Memory Alloys (1987), Gordon and Breach: Gordon and Breach S.A [5] Husiguti, R. R.; Iwasaki, K., J. appl. Phys., 39, 2182 (1968) [6] Kamentseva, Z. P.; Kuzmin, S. L.; Likhachev, V. A., Probl. Prochn, 9, 87 (1980), (in Russian) [7] Nakanishi, N.; Mori, T.; Miura, S.; Murakami, Y.; Kachi, S., Phil. Mag., 28, 277 (1973) [8] Schroeder, T. A.; Wayman, C. M., Acta Metall., 27, 405 (1979) [9] Sun, Q. P., Ph.D. Thesis (1989), Department of Engineering Mechanics, Tsinghua University [10] Sun, Q. P.; Hwang, K. C., (Hutchinson, J. W.; Wu, T. Y., Advances in Applied Mechanics, Vol. 31 (1992), Academic Press: Academic Press New York), To appear in [11] Sun, Q. P.; Hwang, K. C., J. Mech. Phys. Solids, 41, 1 (1993) [12] Sun, Q. P.; Hwang, K. C.; Yu, S. W., J. Mech. Phys. Solids, 39, 507 (1991) [13] Wang, Z. G., J. Engng Mater. Technol. (1992), ASME, for publication [14] Wayman, C. M., (Tsakalalos, T., Phase Transformations in Solids—MRS Symposia Proceedings, Vol. 23 (1983), North Holland: North Holland Amsterdam), 657 [15] Zirinsky, S., Acta Metall., 4, 164 (1956) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.