Phenomenological constitutive law for ferroelastic switching and a resulting asymptotic crack tip solution

Journal of Intelligent Material Systems and Structures

Volumn 10, Issue 2, 1999, Pages 155-163

  Landis, Chad M ^a   Mcmeeking, Robert M ^b  

^a HARVARD UNIVERSITY   (United States)

^b University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKS; ELASTICITY; FERROELECTRIC MATERIALS; PLASTIC DEFORMATION; PLASTICITY; POLYCRYSTALLINE MATERIALS; STRAIN; STRESSES;

FERROELASTIC SWITCHING; PHENOMENOLOGICAL CONSTITUTIVE LAW;

CERAMIC MATERIALS;

EID: 0242571685     PISSN: 1045389X     EISSN: None     Source Type: Journal    
DOI: 10.1106/F7NQ-MA7J-F6TF-UFVW     Document Type: Article

References (16)

1. Boyd, J. G. and D. C. Lagoudas, 1996, "A Thermodynamic Constitutive Model for Shape Memory Materials, Part I. The Monolithic Shape Memory Alloy," International Journal of Plasticity, 12:805-842.
2. Brinson, L. C. and R. Lammering, 1993. "Finite Element Analysis of the Behavior of Shape Memory Alloys and their Applications," International Journal of Solids and Structures, 30:3261-3280.
3. Chan, K. H. and N. W. Hagood, 1994, "Modeling of Nonlinear Piezoceramics for Structural Actuation," Proceedings of SPIE, Smart Structural Materials, (N. W. Hagood, ed.) 2190:194.
4. Fett, T., S. Muller, G. Munz, and G. Thun, 1998. "Nonsymmetry in the Deformation Behavior of PZT," J. Mat. Sci. 17:261-265.
5. Hill, R., 1950, The Mathematical Theory of Plasticity, Oxford University Press.
6. Huber, J. E., N. A. Fleck, C. M. Landis, and R. M. McMeeking, 1999, "A Constitutive Model for Ferroelectrics," J. Mech. Phys. Solids, 47:1663-1697.
7. Hutchinson, J. W., 1968, "Singular Behavior at the End of a Tensile Crack in a Hardening Material," J. Mech. Phys. Solids, 16:13-31.
8. Hutchinson, J. W., 1983, "Constitutive Behavior and Crack Tip Fields for Materials Undergoing Creep-Constrained Grain Boundary Cavitation," Acta Metall., 31:1079-1088.
9. Hwang, S. C., J. E. Huber, R. M. McMeeking, and N. A. Fleck, 1998, "The Simulation of Switching in Polycrystalline Ferroelectric Ceramics," Journal of Applied Physics, 84:1530-1540.
10. Hwang, S. C., C. S. Lynch, and R. M. McMeeking, 1995, "Ferroelectric/Ferroelastic Interactions and a Polarization Switching Model," Acta Metallurgica et Materialia, 43:2073-2084.
11. Hwang, S. C. and R. M. McMeeking, 1999, "A Finite Element Model of Ferroelastic Polycrystals," Int. J. Solids Structures, 36:1541-1556.
12. Jaffe, B., W. R. Cook and H. Jaffe, 1971, Piezoelectric Ceramics, Academic Press, London.
13. McMeeking, R. M. and A. G. Evans, 1982, "Mechanics of Transformation Toughening in Brittle Materials," J. Amer. Ceram. Soc., 65:242.
14. Ortiz, M., 1987, "A Continuum Theory of Crack Shielding in Ceramics," Journal of Applied Mechanics, 54:54-58.
15. Rengarajan, G., R. Krishna Kumar, and J. N. Reddy, 1998, "Numerical Modeling of Stress Induced Martensitic Phase Transformations in Shape Memory Alloys," Int. J. Solids Structures, 35:1489-1513.
16. Sun, Q. P. and K. C. Hwang, 1993, "Micromechanics Modeling for the Constitutive Behavior of Polycrystalline Shape Memory Alloys - I. Derivation of General Relations, & II. Study of Individual Phenomena," J. Mech. Phys. Solids, 41:1-17; 19-33.