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Original Articles

A Phenomenological One-Dimensional Model Describing Stress-Induced Solid Phase Transformation with Permanent Inelasticity

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Pages 43-55 | Received 26 Apr 2006, Published online: 28 Jun 2007

REFERENCES

  • Duerig , T. W. , Melton , K. N. , Stökel , D. and Wayman , C. M. , eds. 1990 . Engineering aspects of shape memory alloys , Butterworth-Heinemann .
  • Duerig , T. W. and Pelton , A. R. , eds. SMST-2003 Proceedings of the International Conference on Shape Memory and Superelastic Technology Conference . ASM International .
  • Abeyaratne , R. and Kim , S. J. 1997 . “Cyclic effects in shape-memory alloys: A one-dimensional continuum model” . International Journal of Solids and Structures , 34 : 3273 – 3289 . [CSA]
  • Auricchio , F. and Lubliner , J. 1997 . “A uniaxial model for shape-memory alloys” . International Journal of Solids and Structures , 34 : 3601 – 3618 . [CROSSREF] [CSA]
  • Bo , Z. and Lagoudas , D. C. 1999 . “Thermomechanical modeling of polycrystalline SMAs under cyclic loading. Part I: Theoretical derivations” . International Journal of Engineering Science , 37 : 1089 – 1140 . [CROSSREF] [CSA]
  • Bouvet , C. , Calloch , S. and Lexcellent , C. 2004 . “A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings” . European Journal of Mechanics A/Solids , 23 : 37 – 61 . [CROSSREF] [CSA]
  • Govindjee , S. and Miehe , C. 2001 . “A multi-variant martensitic phase transformation model: formulation and numerical implementation” . Computer Methods in Applied Mechanics and Engineering , 191 : 215 – 238 . [CROSSREF] [CSA]
  • Helm , D. and Haupt , P. 2003 . “Shape memory behaviour: modelling within continuum thermomechanics” . International Journal of Solids and Structures , 40 : 827 – 849 . [CROSSREF] [CSA]
  • Lagoudas , D. C. and Entchev , P. 2004 . “Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: constitutive model for fully dense SMAs” . Mechanics of Materials , 36 : 865 – 892 . [CSA]
  • Levitas , V. I. 1998 . “Thermomechanical theory of martensitic phase transformations in inelastic materials” . International Journal of Solids and Structures , 35 : 889 – 940 . [CROSSREF] [CSA]
  • Peultier , B. , Benzineb , T. and Patoor , E. 2004 . “Modelling of the martensitic phase transformation for finite element computation” . Journal de Physique IV France , 115 : 351 – 359 . [CSA]
  • Raniecki , B. and Lexcellent , C. 1994 . “R L models of pseudoelasticity and their specification for some shape-memory solids” . European Journal of Mechanics, A: Solids , 13 : 21 – 50 . [CSA]
  • Souza , A. C. , Mamiya , E. N. and Zouain , N. 1998 . “Three-dimensional model for solids undergoing stress-induced phase transformations” . European Journal of Mechanics, A: Solids , 17 : 789 – 806 . [CSA]
  • Auricchio , F. and Petrini , L. 2004 . “A three-dimensional model describing stress-temperature induced solid phase transformations. Part I: solution algorithm and boundary value problems” . International Journal for Numerical Methods in Engineering , 61 : 807 – 836 . [CROSSREF] [CSA]
  • Arrigoni , M. , Auricchio , F. , Cacciafesta , V. , Petrini , L. and Pietrabissa , R. 2001 . “Mechanical characterization of orthodontic superelastic Ni-Ti wires” . Journal de Physique IV France , 11 : 577 – 582 . [CSA]
  • Simo , J. C. and Hughes , T. J. R. 1998 . Computational Inelasticity , New York : Springer-Verlag .

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