DataVXInternational Journal of FracturePaper
journal article·2026-03

Finite element analysis of void growth near a notch tip in a shape memory alloy

Tinku Kumar Mahato, R. Narasimhan

International Journal of Fracture· Volume 250· Issue 1
Publisher page
Bibliographic record

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

Metals & alloys

OpenAlex topics: Shape Memory Alloy Transformations · Nonlocal and gradient elasticity in micro/nano structures · Titanium Alloys Microstructure and Properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (52)

Show source-provided references
1. Ahadi A, Sun Q (2016) Grain size dependence of fracture toughness and crack-growth resistance of superelastic niti. Scripta Mater 113:171–175. https://doi.org/10.1016/j.scriptamat.2015.10.03610.1016/j.scriptamat.2015.10.036 ↗
2. Anuja J, Narasimhan R, Ramamurty U (2019a) Effects of superelasticity and plasticity on the spherical indentation response of shape memory alloys: a finite element analysis. Smart Materials and Structures 28(3):035,028. 10.1088/1361-665X/aaff8810.1088/1361-665X/aaff88 ↗
3. Anuja J, Narasimhan R, Ramamurty U (2019) A numerical study of the indentation mechanics of shape memory alloys in different temperature regimes. Mech Mater 139(103):212. https://doi.org/10.1016/j.mechmat.2019.10321210.1016/j.mechmat.2019.103212 ↗
4. Aravas N, McMeeking R (1985) Microvoid growth and failure in the ligament between a hole and a blunt crack tip. Int J Fract 29(1):21–3810.1007/BF00020674 ↗
5. Bahrami H, Hoseini S, Voyiadjis GZ (2019) Fracture analysis of shape memory alloys in martensite and austenite phase based on the voids behavior. Mech Mater 137(103):119. https://doi.org/10.1016/j.mechmat.2019.10311910.1016/j.mechmat.2019.103119 ↗
6. Baruah D, Narasimhan R (2025) Crystal plasticity finite element analysis of void growth near a notch tip under mixed-mode (i/ii) loading in a textured magnesium alloy. Eng Fract Mech 318(110):921. https://doi.org/10.1016/j.engfracmech.2025.11092110.1016/j.engfracmech.2025.110921 ↗
7. Baruah D, Sreedhar SA, Gupta SK et al (2023) Effect of temperature on the mixed-mode (i &ii) fracture response of a rolled magnesium alloy. Mater Sci Eng, A 881(145):406. https://doi.org/10.1016/j.msea.2023.14540610.1016/j.msea.2023.145406 ↗
8. Baxevanis T, Lagoudas D (2015) Fracture mechanics of shape memory alloys: review and perspectives. Int J Fract 191:191–213. https://doi.org/10.1007/s10704-015-9999-z10.1007/s10704-015-9999-z ↗
9. Benzerga AA, Leblond JB (2010) Ductile fracture by void growth to coalescence. Adv Appl Mech 44:169–305. https://doi.org/10.1016/S0065-2156(10)44003-X10.1016/S0065-2156(10)44003-X ↗
10. Boyd JG, Lagoudas DC (1996) A thermodynamical constitutive model for shape memory materials. part i. the monolithic shape memory alloy. International journal of plasticity 12(6):805–842. 10.1016/S0749-6419(96)00030-710.1016/S0749-6419(96)00030-7 ↗
11. Budiansky B, Hutchinson J, Slutsky S (1982) Void growth and collapse in viscous solids. In: Mechanics of solids. Elsevier, p 13–45, 10.1016/B978-0-08-025443-2.50009-410.1016/B978-0-08-025443-2.50009-4 ↗
12. Chen J, Yin H, Sun Q (2020) Effects of grain size on fatigue crack growth behaviors of nanocrystalline superelastic niti shape memory alloys. Acta Mater 195:141–150. https://doi.org/10.1016/j.actamat.2020.05.00810.1016/j.actamat.2020.05.008 ↗
13. Creuziger A, Bartol L, Gall K et al (2008) Fracture in single crystal niti. J Mech Phys Solids 56(9):2896–2905. https://doi.org/10.1016/j.jmps.2008.04.00210.1016/j.jmps.2008.04.002 ↗
14. Dlouhỳ A, Khalil-Allafi J, Eggeler G (2022) On the determination of the volume fraction of ni4ti3 precipitates in binary ni-rich niti shape memory alloys. Int J Mater Res 95(6):518–524. https://doi.org/10.1515/ijmr-2004-010210.1515/ijmr-2004-0102 ↗
15. Gall K, Yang N, Sehitoglu H et al (2001) Fracture of precipitated niti shape memory alloys. Int J Fract 109:189–207. https://doi.org/10.1023/A:101106920412310.1023/A:1011069204123 ↗
16. Garrison W Jr, Moody NR (1987) Ductile fracture. J Phys Chem Solids 48(11):1035–1074. https://doi.org/10.1016/0022-3697(87)90118-110.1016/0022-3697(87)90118-1 ↗
17. Garudapalli A, Bhardwaj A, Oswal K et al (2021) Microstructural, mechanical, and superelastic behavior of thermo-mechanically processed nitinol alloy. Shape Memory and Superelasticity 7:503–514. https://doi.org/10.1007/s40830-021-00352-z10.1007/s40830-021-00352-z ↗
18. Ghosal A, Narasimhan R (1997) A finite element study of the effect of void initiation and growth on mixed-mode ductile fracture. Mech Mater 25(2):113–127. https://doi.org/10.1016/S0167-6636(96)00047-610.1016/S0167-6636(96)00047-6 ↗
19. Gollerthan S, Young M, Baruj A et al (2009) Fracture mechanics and microstructure in niti shape memory alloys. Acta Mater 57(4):1015–1025. https://doi.org/10.1016/j.actamat.2008.10.05510.1016/j.actamat.2008.10.055 ↗
20. Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: Part i–yield criteria and flow rules for porous ductile media. Engineering Materials and Technology pp 2–15. 10.1115/1.344340110.1115/1.3443401 ↗
21. Hartl D, Lagoudas D (2009) Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys. Smart Mater Struct 18(104):017. https://doi.org/10.1088/0964-1726/18/10/10401710.1088/0964-1726/18/10/104017 ↗
22. Hom CL, McMeeking RM (1989) Three-dimensional void growth before a blunting crack tip. J Mech Phys Solids 37(3):395–415. https://doi.org/10.1016/0022-5096(89)90006-910.1016/0022-5096(89)90006-9 ↗
23. Indurkar PP, Joshi SP (2019) Void growth and coalescence in porous plastic solids with sigmoidal hardening. Journal of Applied Mechanics Transactions ASME 86(9):1–12. https://doi.org/10.1115/1.404351910.1115/1.4043519 ↗
24. Jacobus K, Sehitoglu H, Balzer M (1996) Effect of stress state on the stress-induced martensitic transformation in polycrystalline ni-ti alloy. Metall and Mater Trans A 27(10):3066–3073. https://doi.org/10.1007/BF0266385510.1007/BF02663855 ↗
25. Jaganathan A (2020) Numerical simulations on the indentation behaviour of shape memory alloys. PhD thesis, Indian Institute of Science, Bangalore, India
26. Kamat S, Hirth J (1996) Mixed mode i/ii fracture toughness of 2034 aluminum alloys. Acta Mater 44(1):201–208. https://doi.org/10.1016/1359-6454(95)00169-810.1016/1359-6454(95)00169-8 ↗
27. Katanchi B, Choupani N, Khalil-Allafi J et al (2018) Mixed-mode fracture of a superelastic niti alloy: Experimental and numerical investigations. Eng Fract Mech 190:273–287. https://doi.org/10.1016/j.engfracmech.2017.12.02710.1016/j.engfracmech.2017.12.027 ↗
28. Keralavarma S, Hoelscher S, Benzerga A (2011) Void growth and coalescence in anisotropic plastic solids. Int J Solids Struct 48(11–12):1696–1710. https://doi.org/10.1016/j.ijsolstr.2011.02.02010.1016/j.ijsolstr.2011.02.020 ↗
29. Koplik J, Needleman A (1988) Void growth and coalescence in porous plastic solids. Int J Solids Struct 24(8):835–853. https://doi.org/10.1016/0020-7683(88)90051-010.1016/0020-7683(88)90051-0 ↗
30. Lagoudas DC (2008) Shape memory alloys: modeling and engineering applications. Springer Science and Business Media. https://doi.org/10.1007/978-0-387-47685-810.1007/978-0-387-47685-8 ↗
31. Mahato TK, Narasimhan R (2025) A 3d numerical study of mixed-mode (i and ii) stationary notch tip fields in shape memory alloys. International Journal of Fracture pp 1–26. https://doi.org/10.1007/s10704-024-00832-010.1007/s10704-024-00832-0 ↗
32. Mahato TK, Baruah D, Agrawal S, et al (2025) Experimental study on the mixed-mode fracture response of niti shape memory alloys using asymmetric four point bend specimens, manuscript under preparation for journal publication
33. Makkar J, Baxevanis T (2021) On the fracture response of shape memory alloys by void growth and coalescence. Mech Mater 153(103):682. https://doi.org/10.1016/j.mechmat.2020.10368210.1016/j.mechmat.2020.103682 ↗
34. Miyazaki S, Duerig T, Melton K, et al (1990) Engineering aspects of shape memory alloys. Duerig, TW, Melton, KN, Stockel, D, Wayman, CM, Eds pp 394–41310.1016/B978-0-7506-1009-4.50037-8 ↗
35. Moran B, Ortiz M, Shih C (1990) Formulation of implicit finite element methods for multiplicative finite deformation plasticity. Int J Numer Meth Eng 29(3):483–514. https://doi.org/10.1002/nme.162029030410.1002/nme.1620290304 ↗
36. Nakamura T, Shih CF, Freund LB (1986) Analysis of a dynamically loaded three-point-bend ductile fracture specimen. Eng Fract Mech 25:323–339. https://doi.org/10.1016/0013-7944(86)90129-310.1016/0013-7944(86)90129-3 ↗
37. Olsen J, Zhang Z (2012) Effect of spherical micro-voids in shape memory alloys subjected to uniaxial loading. Int J Solids Struct 49(14):1947–1960. https://doi.org/10.1016/j.ijsolstr.2012.03.04110.1016/j.ijsolstr.2012.03.041 ↗
38. Olsen J, Zhang Z, Lu H et al (2012) Fracture of notched round-bar niti-specimens. Eng Fract Mech 84:1–14. https://doi.org/10.1016/j.engfracmech.2011.12.00710.1016/j.engfracmech.2011.12.007 ↗
39. Otsuka K, Wayman CM (1999) Shape memory materials. Cambridge University Press
40. Peirce D, Shih CF, Needleman A (1984) A tangent modulus method for rate dependent solids. Computers & Structures 18:875–887. https://doi.org/10.1016/0045-7949(84)90033-610.1016/0045-7949(84)90033-6 ↗
41. Rice JR, Tracey DM (1969) On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids 17(3):201–217. https://doi.org/10.1016/0022-5096(69)90033-710.1016/0022-5096(69)90033-7 ↗
42. Roy YA, Narasimhan R (1999) Constraint effects on ductile fracture processes near a notch tip under mixed-mode loading. Eng Fract Mech 62(6):511–534. https://doi.org/10.1016/S0013-7944(99)00006-510.1016/S0013-7944(99)00006-5 ↗
43. Roy YA, Narasimhan R, Arora P (1999) An experimental investigation of constraint effects on mixed mode fracture initiation in a ductile aluminium alloy. Acta Mater 47(5):1587–1596. https://doi.org/10.1016/S1359-6454(99)00015-410.1016/S1359-6454(99)00015-4 ↗
44. Selvarajou B, Joshi SP, Benzerga AA (2019) Void growth and coalescence in hexagonal close packed crystals. J Mech Phys Solids 125:198–224. https://doi.org/10.1016/j.jmps.2018.12.01210.1016/j.jmps.2018.12.012 ↗
45. Shih CF (1974) Small-scale yielding analysis of mixed mode plane-strain crack problems. ASTM STP 560:187–210
46. Simo J, Hughes T (1998) Computational inelasticity. Springer New York. https://doi.org/10.1007/b9890410.1007/b98904 ↗
47. Sreedhar SA, Narasimhan R (2024) Numerical simulations of ductile crack initiation and growth in a textured magnesium alloy. Mech Mater 190(104):929. https://doi.org/10.1016/j.mechmat.2024.10492910.1016/j.mechmat.2024.104929 ↗
48. Sreeramulu K, Biswas P, Narasimhan R et al (2013) Ductile fracture by multiple void growth and interaction ahead of a notch tip in polycrystalline plastic solids. Int J Fract 180:145–161. https://doi.org/10.1007/s10704-013-9807-610.1007/s10704-013-9807-6 ↗
49. Tvergaard V, Hutchinson JW (2002) Two mechanisms of ductile fracture: Void by void growth versus multiple void interaction. Int J Solids Struct 39(13–14):3581–3597. https://doi.org/10.1016/S0020-7683(02)00168-310.1016/S0020-7683(02)00168-3 ↗
50. Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metall 32(1):157–169. https://doi.org/10.1016/0001-6160(84)90213-X10.1016/0001-6160(84)90213-X ↗
51. Wang X, Lu Z, Yue Z (2009) The effect of notches on the fracture behavior in niti shape memory alloys. Int J Solids Struct 46(3–4):557–571. https://doi.org/10.1016/j.ijsolstr.2008.09.00710.1016/j.ijsolstr.2008.09.007 ↗
52. Young B, Haghgouyan B, Lagoudas D et al (2019) Effect of temperature on the fracture toughness of a nitihf high temperature shape memory alloy. Shape Memory and Superelasticity 5:362–373. https://doi.org/10.1007/s40830-019-00245-210.1007/s40830-019-00245-2 ↗