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Analytical prediction of the phase transformation onset zone at a crack tip of a shape memory alloy exhibiting asymmetry between tension and compression

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Abstract

Shape Memory Alloys (SMAs) such as NiTi exhibit stress induced martensitic phase transformation. The purpose of this paper is to provide a better understanding of SMA (such as NiTi) fracture behavior, by considering the vicinity of the crack tip where the transformation occurs. This analysis integrates the asymmetry between tension and compression in an analytical prediction of the surface of phase transformation around the crack tip for loading modes 1, 2, 3 and mixed 1+2. The influence of the asymmetry between tension-compression is more important in plane stress conditions than in plane strain conditions, particularly for mode 1 loading. In order to validate this model, we are currently setting up an experimental investigation to observe strain localization during crack propagation (transformation and martensitic saturation regions) on NiTi thin sheets.

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References

  • Bouvet C, Calloch S, Lexcellent C (2004) A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings. Eur J Mech A/Solids 23(1): 37–61

    Article  Google Scholar 

  • Daly S, Miller A, Ravichandran G, Bhattacharya K (2007) An experimental investigation of crack initiation in thin sheets of nitinol. Acta Mat 55: 6322–6330

    Article  CAS  Google Scholar 

  • Freed Y, Banks-Sills L (2007) Crack growth resistance of shape memory alloys by means of a cohesive zone model. J Mech Phys Solids 55(10): 2157–2180

    Article  CAS  Google Scholar 

  • Gibeau E, Laydi MR, Lexcellent C (2010) Determination and transport of phase transformation yield surfaces for shape memory alloys. J Appl Math Mech/Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 90(7): 595–604

    Article  Google Scholar 

  • Laydi MR, Lexcellent C (2010) Yield criteria for shape memory materials: convexity conditions and surface transport. Math Mech Solids 15(2): 165–208

    Article  Google Scholar 

  • Lexcellent C, Thiebaud F (2008) Determination of the phase transformation zone at a crack tip in a shape memory alloy exhibiting asymmetry between tension and compression. Scripta Mat 59(3): 321–323

    Article  CAS  Google Scholar 

  • Miyazaki S, Kimura S, Takei F, Miura T, Otsuka K, Suzuki Y (1983) Shape memory effect and pseudoelasticity in a Ti-Ni single crystal. Scripta Mettalurgica 17: 1057–1063

    Article  CAS  Google Scholar 

  • Panoskaltsis VP, Bahuguna S, Soldatos D (2004) On the thermomechanical modeling of shape memory alloys. Int J Non-Linear Mech 39(5): 709–722

    Article  Google Scholar 

  • Patoor E, Lagoudas DC, Entchev PB, Brinson LC, Gao X (2006) Shape memory alloys, part I: general properties and modeling of single crystals. Mech Mat 38(5–6): 391–429

    Article  Google Scholar 

  • Raniecki B, Lexcellent C (1998) Thermodynamics of isotropic pseudoelasticity in shape memory alloys. Eur J Mech A/Solids 17(2): 185–205

    Article  Google Scholar 

  • Robertson SW, Ritchie RO (2007) In vitro fatigue—crack growth and fracture toughness behavior of thin-walled superelastic Nitinol tube for endovascular stents: a basis for defining the effect of crack-like defects. Biomaterials 28(4): 700–709

    Article  CAS  Google Scholar 

  • Robertson SW, Mehta A, Pelton AR, Ritchie RO (2007) Evolution of crack-tip transformation zones in superelastic Nitinol subjected to in situ fatigue: A fracture mechanics and synchrotron X-ray microdiffraction analysis. Acta Mat 55(18): 6198–6207

    Article  CAS  Google Scholar 

  • The Society of Materials Science, Japan, Editor-in-chief Murakami Y (1987) Stress intensity factors handbook, vol 1. Cracks in an infinite plate, 1st edn. Pergamon Press, NY, p 188

  • Thiebaud F, Lexecllent C, Collet M, Foltête E (2007) Implementation of a model taking into account the asymmetry between tension and compression, the temperature effects in a finite element code for shape memory alloys structures calculations. Comput Mater Sci 41: 208–221

    Article  CAS  Google Scholar 

  • Vacher P, Lexcellent C (1991) Study of pseudoelasticity behavior of polycrystalline shape memory alloys by resistivity measurements and acoustic emission. In: Jono M, Inoue T (eds) Proceedings of ICM VI, vol 3. Pergamon Press, NY, pp 213–236

  • Wang XM, Wang YF, Baruj A, Eggeler G, Yue ZF (2005) On the formation of martensite in front of cracks in pseudoelastic shape memory alloys. Mat Sci Eng A 394(1–2): 393–398

    Article  Google Scholar 

  • Yi S, Gao S (2000) Fracture toughening mechanism of shape memory alloys due to martensite transformation. Int J Solids Struct 37(38): 5315–5327

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute Femto-St, Applied Mechanics Department, 24, rue de l’Epitaphe, 25000, Besançon, France

    C. Lexcellent, M. R. Laydi & V. Taillebot

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  1. C. Lexcellent
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  2. M. R. Laydi
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  3. V. Taillebot
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Correspondence to C. Lexcellent.

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Lexcellent, C., Laydi, M.R. & Taillebot, V. Analytical prediction of the phase transformation onset zone at a crack tip of a shape memory alloy exhibiting asymmetry between tension and compression. Int J Fract 169, 1–13 (2011). https://doi.org/10.1007/s10704-010-9577-3

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  • DOI: https://doi.org/10.1007/s10704-010-9577-3

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