journal article·2015-03Open access

Micromechanics-Based Damage Analysis of Fracture in Ti5553 Alloy with Application to Bolted Sectors

Mohamed Ben Bettaieb, Thibaut Van Hoof, Hans Minnebo, Thomas Pardoen, Philippe Dufour, Pascal J. Jacques, Anne Marie Habraken

Abstract

A physics-based, uncoupled damage model is calibrated using cylindrical notched round tensile specimens made of Ti5553 and Ti-6Al-4V alloys. The fracture strain of Ti5553 is lower than for Ti-6Al-4V in the full range of stress triaxiality. This lower ductility originates from a higher volume fraction of damage sites. By proper heat treatment, the fracture strain of Ti5553 increases by almost a factor of two, as a result of a larger damage nucleation stress. This result proves the potential for further optimization of the damage resistance of the Ti5553 alloy. The damage model is combined with an elastoviscoplastic law in order to predict failure in a wide range of loading conditions. In particular, a specific application involving bolted sectors is addressed in order to determine the potential of replacing the Ti-6Al-4V by the Ti5553 alloy.
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Research context

OpenAlex topics: Metal Forming Simulation Techniques · High-Velocity Impact and Material Behavior · Microstructure and mechanical properties

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References (63)

Show source-provided references
1. R.R. Boyer and R.D. Briggs, The Use of β Titanium Alloys in the Aerospace Industry, J. Mater. Eng. Perform., 2005, 14, p 681–68510.1361/105994905X75448 ↗
2. P.-J. Arrazola, A. Garay, L.-M. Iriarte, M. Armendia, S. Marya, and F. Le Maitre, Machinability of Titanium Alloys (Ti-6Al-4V and Ti555.3), J. Mater. Process. Technol., 2009, 209, p 2223–223010.1016/j.jmatprotec.2008.06.020 ↗
3. J. Lemaître, A Continuous Damage Mechanics Model for Ductile Fracture, J. Eng. Mater. Technol., 1985, 107, p 83–8910.1115/1.3225775 ↗
4. J. Lemaître and J.L. Chaboche, Mécanique des Matériaux Solides, Dunod, Paris, 1985 [in French]
5. A.L. Gurson, Continuum Theory of Ductile Rupture by Void Nucleation and Growth. Part I: Yield Criteria and Flow Rules for Porous Ductile Media, J. Eng. Mater. Technol. Trans. ASME, 1977, 99, p 2–1510.1115/1.3443401 ↗
6. V. Tvergaard and A. Needleman, Analysis of the Cup-Cone Fracture in a Round Tensile Bar, Acta Metall., 1984, 32, p 157–16910.1016/0001-6160(84)90213-X ↗
7. A.A. Benzerga, J. Besson, and A. Pineau, Anisotropic Ductile Fracture: Part II: Theory, Acta Mater., 2004, 52, p 4639–465010.1016/j.actamat.2004.06.019 ↗
8. F. Scheyvaerts, P.R. Onck, C. Tekoglu, and T. Pardoen, The Growth and Coalescence of Ellipsoidal Voids in Plane Strain Under Combined Shear and Tension, J. Mech. Phys. Solids, 2011, 59, p 373–39710.1016/j.jmps.2010.10.003 ↗
9. T. Pardoen, F. Scheyvaerts, A. Simar, C. Tekoğlu, and P.R. Onck, Multiscale Modeling of Ductile Failure in Metallic Alloys, C.R. Phys., 2010, 11, p 326–34510.1016/j.crhy.2010.07.012 ↗
10. G. Le Roy, J.D. Embury, G. Edward, and M.F. Ashby, A Model of Ductile Fracture Based on the Nucleation and Growth of Voids, Acta Metall., 1981, 29, p 1509–152210.1016/0001-6160(81)90185-1 ↗
11. G.R. Johnson and W.H. Cook, Fracture Characteristics of Three Metals Subjected to Various Strains, Strain Rates, Temperatures and Pressures, Eng. Fract. Mech., 1985, 21, p 31–4810.1016/0013-7944(85)90052-9 ↗
12. F.A. McClintock, S.M. Kaplan, and C.A. Berg, Ductile Fracture by Hole Growth in Shear Bands, Int. J. Fract. Mech., 1966, 2, p 614–62710.1007/BF00184558 ↗
13. J.R. Rice and D.M. Tracey, On the Ductile Enlargement of Voids in Triaxial Stress Fields, J. Mech. Phys. Solids, 1969, 17, p 201–21710.1016/0022-5096(69)90033-7 ↗
14. T. Pardoen, I. Doghri, and F. Delannay, Experimental and Numerical Comparison of Void Growth Models and Void Coalescence Criteria for the Prediction of Ductile Fracture in Copper Bars, Acta Mater., 1998, 46(2), p 541–55210.1016/S1359-6454(97)00247-4 ↗
15. T. Pardoen and F. Delannay, Assessment of Void Growth Models from Porosity Measurements in Cold Drawn Copper Bars, Metall. Mater. Trans. A, 1998, 29(A), p 1895–190910.1007/s11661-998-0014-4 ↗
16. B. Marini, F. Mudry, and A. Pineau, Experimental study of cavity growth in ductile rupture, Eng. Fract. Mech., 1985, 22, p 989–99610.1016/0013-7944(85)90038-4 ↗
17. R. Becker, A. Needleman, O. Richmond, and V. Tvergaard, Void Growth and Failure in Notched Bars, J. Mech. Phys. Solids, 1988, 36(3), p 317–35110.1016/0022-5096(88)90014-2 ↗
18. G. Huber, Y. Brechet, and T. Pardoen, Predictive Model for Void Nucleation and Void Growth Controlled Ductility in Quasi-eutectic Cast Aluminium Alloys, Acta Mater., 2005, 53, p 2739–274910.1016/j.actamat.2005.02.037 ↗
19. D. Lassance, D. Fabregue, F. Delannay, and T. Pardoen, Micromechanics of Room and High Temperature Fracture in 6xxx Al Alloys, Prog. Mater. Sci., 2007, 52, p 62–12910.1016/j.pmatsci.2006.06.001 ↗
20. M. Ben Bettaieb, Th. Van Hoof, Th. Pardoen, Ph. Dufour, A. Lenain, P.J. Jacques, A.M. Habraken, On the Mechanical Behavior of Ti5553 Alloy: Elasticity and Viscoplasticity, Mater. Sci. Eng. A (accepted)
21. R. Boyer, G. Welsch, and E.W. Collings, Materials Properties Handbook, Titanium Alloys, ASM International, Materials Park, 1994, p 483
22. G. Lutjering and J.C. Williams, Titanium, Springer, Berlin, 200310.1007/978-3-540-71398-2 ↗
23. S.L. Semiatin, V. Seetharaman, and I. Weiss, Hot Workability of Titanium and Titanium Aluminide Alloys—An Overview, Mater. Sci. Eng., 1998, 243(A), p 1–2410.1016/S0921-5093(97)00776-4 ↗
24. R. Ding, Z.X. Guo, and A. Wilson, Microstructural evolution of a Ti-6Al-4V alloy during thermomechanical processing, Mater. Sci. Eng. A, 2002, 327, p 233–24510.1016/S0921-5093(01)01531-3 ↗
25. Y. Millet, Journées Technologiques titane, The French Titanium Association, Nantes, 2007 [in French]
26. F.H. Norton, Creep of Steel at High Temperatures, Mc Grow-Hill, New-York, 1929, p 219
27. N.J. Hoff, Approximate Analysis of Structures in the Presence of Moderately Large Creep Deformations, Q. Appl. Mech., 1954, 12, p 49–55
28. J.J. Brioist, Un modèle thermomécanique du refroidissement des pièces de fonderie, PhD Thesis, Ecole Nat. Sup. des Mines de Paris, 1995 [in French]
29. M. Vanderhasten, L. Rabet, and B. Verlinden, Ti-6Al-4V: Deformation Map and Modelisation of Tensile Behaviour, Mater. Des., 2008, 29, p 1090–109810.1016/j.matdes.2007.06.005 ↗
30. A. Simar, K.L. Nielsen, B. de Meester, V. Tvergaard, and T. Pardoen, Micro-mechanical Modelling of Ductile Failure in 6005A Aluminium Using a Physics Based Strain Hardening Law Including Stage IV, Eng. Fract. Mech., 2010, 77, p 2491–250310.1016/j.engfracmech.2010.06.008 ↗
31. N.N. Popov, A.G. Ivanov, and S.A. Morozov, Effect of Strain Rate on the Resistance of Titanium Alloy VT16 to Plastic Deformation, Probl. Prochnosti., 1986, 8, p 1045–1048
32. G.V. Stepanov and B.A. Kovalev, Effect of Strain Rate on Strength and Ductility of Titanium Alloys, Probl. Prochnosti., 1980, 5, p 47–49
33. W.S. Lee, T.H. Chen, C.F. Lin, and N.W. Lee, High Strain Rate Shear Deformation and Fracture Behaviour of Biomedical Titanium Alloy, Mater. Sci. Technol., 2010, 26, p 1079–108710.1179/026708309X12526620338232 ↗
34. W.S. Lee, C.F. Lin, T.H. Chen, and H.H. Hwang, Effects of Strain Rate and Temperature on Mechanical Behaviour of Ti-15Mo-5Zr-3Al Alloy, J. Mech. Behav. Biomed. Mater., 2008, 1, p 336–34410.1016/j.jmbbm.2008.01.002 ↗
35. J.D. Bryant, D.D. Makel, and H.G.F. Wilsdorf, Observations on the Effect of Temperature Rise at Fracture in Two Titanium Alloys, Mater. Sci. Eng., 1986, 77, p 85–9310.1016/0025-5416(86)90356-3 ↗
36. N. Singh and V. Singh, Observations on the Effect of Temperature Rise at Fracture in Two Titanium Alloys, Mater. Sci. Eng. A, 2008, 485, p 130–13910.1016/j.msea.2007.07.064 ↗
37. J.W. Hancock and A.C. Mackenzie, On the Mechanisms of Ductile Failure in High-Strength Steels Subjected to Multi-axial Stress-States, J. Mech. Phys. Solids, 1976, 24, p 147–16910.1016/0022-5096(76)90024-7 ↗
38. A.C. Mackenzie, J.W. Hancock, and D.K. Brown, On the Influence of State of Stress on Ductile Failure Initiation in High-Strength Steels, Eng. Fract. Mech., 1977, 9, p 167–18810.1016/0013-7944(77)90062-5 ↗
39. J.W. Hancock and D.K. Brown, On the Mechanisms of Ductile Failure in High-Strength Steels Subjected to Multi-axial Stress-States, J. Mech. Phys. Solids, 1983, 31, p 1–2410.1016/0022-5096(83)90017-0 ↗
40. D. Holland, A. Halim, and W. Dahl, Influence of Stress Triaxiality Upon Ductile Crack Propagation, Steel Res., 1990, 61, p 504–50610.1002/srin.199000388 ↗
41. M.S. Mirza, D.C. Barton, and P. Church, The Effect of Stress Triaxiality and Strain-Rate on the Fracture Characteristics of Ductile Metals, J. Mater. Sci., 1996, 31, p 453–46110.1007/BF01139164 ↗
42. P.W. Bridgman, The Stress Distribution at the Neck of a Tension Specimen, Trans. ASME, 1944, 32, p 553–574
43. Y.Y. Zhu, S. Cescotto, and A.M. Habraken, A Fully Coupled Elastoplastic Damage Modelling and Fracture Criteria in Metalforming Processes, J. Mater. Process. Technol., 1992, 32, p 197–20410.1016/0924-0136(92)90177-T ↗
44. Y. Yulan, W. Weiqi, L. Fengli, L. Weiqing, and Z. Yongqiang, The Effect of Aluminum Equivalent and Molybdenum Equivalent on the Mechanical Properties of High Strength and High Toughness Titanium Alloys, Mater. Sci. Forum, 2009, 618–619, p 169–172
45. H.J. Niu and I.T.H. Chang, Modeling the Effect of Porosity on Ductile Fracture of Powder Processed Titanium Alloy, Scripta Mater., 1999, 41, p 481–48610.1016/S1359-6462(99)00178-5 ↗
46. T.S. Srivatsan, M. Al-Hajri, M. Petraroli, B. Derreberry, and P.C. Lam, The Fracture Behavior of a Ti-6242 Alloy Deformed in Bending Fatigue, Mater. Sci. Eng. A, 2002, 334, p 327–33310.1016/S0921-5093(01)01779-8 ↗
47. R. Mythili, S. Saroja, and M. Vijayalakshmi, Study of Mechanical Behavior and Deformation Mechanism in an α-β Ti-4.4Ta-1.9Nb Alloy, Mater. Sci. Eng. A, 2007, 454–455, p 43–5110.1016/j.msea.2006.11.028 ↗
48. T. Pardoen and A. Pineau, In Comprehensive Structural Integrity Encyclopedia, Chap. 2, Vol 2, Elsevier, Amsterdam, 2007
49. F. Beremin, Cavity Formation from Inclusions in Ductile Fracture of A508 Steel, Met. Trans., 1981, 12(A), p 723–73110.1007/BF02648336 ↗
50. P.F. Thomason, Ductile Fracture of Metals, Pergamon Press, Oxford, 1990
51. D. Lassance, F. Scheyvaerts, and T. Pardoen, Growth and Coalescence of Penny-Shaped Voids in Metallic Alloys, Eng. Fract. Mech., 2006, 73, p 1009–103410.1016/j.engfracmech.2005.12.004 ↗
52. M.J. Worswick and R.J. Pick, Void Growth and Constitutive Softening in a Periodically Voided Solid, J. Mech. Phys. Solids, 1990, 38, p 601–62510.1016/0022-5096(90)90025-Y ↗
53. Y. Huang, Accurate Dilatation Rates for Spherical Voids in Triaxial Stress Fields, J. Appl. Mech., 1991, 58, p 1084–108510.1115/1.2897686 ↗
54. L. Lecarme, E. Maire, A. Kumar, C. De Vleeschouwer, L. Jacques, A. Simar, and T. Pardoen, Heterogenous Void Growth Revealed by In Situ 3-D X-ray Microtomography Using Automatic Cavity Tracking, Acta Mater., 2014, 63, p 130–13910.1016/j.actamat.2013.10.014 ↗
55. T. Pardoen and J.W. Hutchinson, An Extended Model for Void Growth and Coalescence, J. Mech. Phys. Solids, 2000, 48, p 2467–251210.1016/S0022-5096(00)00019-3 ↗
56. L. Lecarme, C. Tekoglu, and T. Pardoen, Void Growth and Coalescence in Ductile Solids with Stage III, and Stage IV Strain Hardening, Int. J. Plast., 2011, 27, p 1203–122310.1016/j.ijplas.2011.01.004 ↗
57. K.L. Nielsen and V. Tvergaard, Ductile Shear Failure or Plug Failure of Spot Welds Modeled by Modified Gurson Model, Eng. Fract. Mech., 2010, 77, p 1031–104710.1016/j.engfracmech.2010.02.031 ↗
58. G. Yuan and X. Lu, An Active Set Limited Memory BFGS Algorithm for Bound Constrained Optimization, Appl. Math. Model., 2011, 35, p 3561–357310.1016/j.apm.2011.01.036 ↗
59. Y. Xiao and H. Zhang, Modified Subspace Limited Memory BFGS Algorithm for Large-Scale Bound Constrained Optimization, J. Comput. Appl. Math., 2008, 222, p 429–43910.1016/j.cam.2007.11.014 ↗
60. N. Andrei, A Scaled BFGS Preconditioned Conjugate Gradient Algorithm for Unconstrained Optimization, Appl. Math. Lett., 2007, 20, p 645–65010.1016/j.aml.2006.06.015 ↗
61. J.L. Morales, A Numerical Study of Limited Memory BFGS Methods, Appl. Math. Lett., 2002, 15, p 481–48710.1016/S0893-9659(01)00162-8 ↗
62. L. Lecarme, Viscoplastic Effects on Damage and Fracture of Titanium Alloy Ti-6A1-4V, PhD Thesis, UCL 2013, Belgium
63. ABAQUS 6.9, Simulia, Inc., Providence, RI, USA, 2009