Uniaxial modeling of multivariant shape-memory materials with internal sublooping using dissipation functions

Meccanica

Volumn 40, Issue 4-6 SPEC. ISS., 2005, Pages 339-364

  Bernardini, Davide ^a   Pence, Thomas J ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; STRESS ANALYSIS;

DISSIPATION FUNCTIONS; SHAPE-MEMORY MATERIALS; UNIAXIAL MODELING;

SHAPE MEMORY EFFECT;

EID: 29144534118     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-005-2103-4     Document Type: Article

References (16)

1. Bernardini, D., 'On the macroscopic free energy functions of shape memory alloys', J. Mech. Phys. Solids 49 (2001) 813-837.
2. Bernardini, D., 'Models of hysteresis in the framework of thermomechanics with internal variables, Physica B 306 (2001) 132-136.
3. Bernardini, D. and Pence, T.J., 'Shape memory materials: modeling', in: Encyclopedia of Smart Materials, vol. 2, Wiley, New York, 2002, pp. 964-980.
4. Bernardini, D. and Pence T.J., 'Models for one-variant shape memory materials based on dissipation functions', Int. J. Nonlin. Mech. 37, (2002) 1299-1317.
5. Bernardini, D. and Pence, T.J., 'A multifield theory for the modeling of the macroscopic behavior of shape memory materials', in: Capriz, G. and Mariano, P.M. (eds.), Advances in Multifield Theories of Continua With Substructure, Birkhauser, Boston, 2003, pp. 199-242.
6. Brokate, M. and Sprekels, J., Hysteresis and Phase Transitions, Springer, 1995.
7. Fischer, F.D., Berveiller, M., Tanaka, K. and Oberaigner, E.R., 'Continuum mechanical aspects of phase transformations in solids', Arch. Appl. Mech. 64 (1994) 54-85.
8. Green, A.E. and Nagdhi, P.M., 'On the thermodynamics and the nature of the second law', Proc. Roy. Soc. London A357 (1977) 253-270.
9. Ivshin, Y. and Pence, T.J., 'A thermomechanical model for a one-variant shape memory material', J. Intell. Mater. Syst. Struct. 5 (1994), 455-473.
10. Lacarbonara, W., Bernardini, D. and Vestroni, F., 'Nonlinear thermomechanical oscillations of shape-memory devices', Int. J. Solids Struct. 41 (2004) 1209-1234.
11. Mariano, P.M., 'Multifield theories in mechanics of solids', Adv. Appl. Mech. 38 (2002) 2-95.
12. Otsuka, K. and Shimizu, K., 'Pseudoelasticity and shape memory effects in alloys', Int. Metals Rev. 31 (1986) 93-114.
13. Rajagopal, K.R. and Srinivasa, A.R., 'On the thermomechanics of shape memory wires', ZAMP 50 (1999) 459-496.
14. Van Humbeeck, J., Stoiber, J., Delaey L. and Gotthardt, R., 'The high damping capacity of shape memory alloys', Z. Metallkd. 86 (1995) 176-183.
15. Wu, X. and Pence, T.J., 'Two variant modeling of shape memory materials: unfolding a phase diagram triple point', J. Intell. Mater. Syst. Struct. 9 (1998) 335-354.
16. Ziegler H., An Introduction to Thermomechanics, North Holland, Amsterdam, 1977.