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

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• 作者：Mohamed Ben Bettaieb (1) (5)
  Thibaut Van Hoof (2)
  Hans Minnebo (2)
  Thomas Pardoen (3)
  Philippe Dufour (3)
  Pascal J. Jacques (3)
  Anne Marie Habraken (1) (4)
  
  1. Division MS2F ; Department ArGEnCo ; University of Li猫ge ; Chemin des Chevreuils 1 ; 4000 ; Li猫ge ; Belgium
  5. ENSAM ; Centre de Metz ; 4 ; Rue Augustin FRESNEL ; 57078 ; Metz Cedex 03 ; France
  2. Centre de Recherches en A茅ronautique (CENAERO) ; B芒timent Eole ; Rue des Fr猫res Wright 29 ; 6041 ; Gosselies ; Belgium
  3. Institute of Mechanics ; Materials and Civil Engineering ; Universit茅 catholique de Louvain ; 1348 ; Louvain-la-Neuve ; Belgium
  4. Fond National de la Recherche Scientifique (FNRS) ; Brussels ; Belgium
  
• 关键词：aircraft engine ; complex loading ; ductile fracture ; FE validation ; notched samples ; stress triaxiality ; Thomason model
• 刊名：Journal of Materials Engineering and Performance
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：24
• 期：3
• 页码：1262-1278
• 全文大小：6,821 KB
• 参考文献：1. R.R. Boyer and R.D. Briggs, The Use of 尾 Titanium Alloys in the Aerospace Industry, / J. Mater. Eng. Perform., 2005, 14, p 681鈥?85 5994905X75448" target="_blank" title="It opens in new window">CrossRef
  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鈥?230 CrossRef
  3. J. Lema卯tre, A Continuous Damage Mechanics Model for Ductile Fracture, / J. Eng. Mater. Technol., 1985, 107, p 83鈥?9 5/1.3225775" target="_blank" title="It opens in new window">CrossRef
  4. J. Lema卯tre and J.L. Chaboche, / M茅canique des Mat茅riaux 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鈥?5 5/1.3443401" target="_blank" title="It opens in new window">CrossRef
  6. V. Tvergaard and A. Needleman, Analysis of the Cup-Cone Fracture in a Round Tensile Bar, / Acta Metall., 1984, 32, p 157鈥?69 CrossRef
  7. A.A. Benzerga, J. Besson, and A. Pineau, Anisotropic Ductile Fracture: Part II: Theory, / Acta Mater., 2004, 52, p 4639鈥?650 CrossRef
  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鈥?97 CrossRef
  9. T. Pardoen, F. Scheyvaerts, A. Simar, C. Teko臒lu, and P.R. Onck, Multiscale Modeling of Ductile Failure in Metallic Alloys, / C.R. Phys., 2010, 11, p 326鈥?45 CrossRef
  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鈥?522 5-1" target="_blank" title="It opens in new window">CrossRef
  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鈥?8 5)90052-9" target="_blank" title="It opens in new window">CrossRef
  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鈥?27
  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鈥?17 5096(69)90033-7" target="_blank" title="It opens in new window">CrossRef
  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鈥?52 59-6454(97)00247-4" target="_blank" title="It opens in new window">CrossRef
  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鈥?909 CrossRef
  16. B. Marini, F. Mudry, and A. Pineau, Experimental study of cavity growth in ductile rupture, / Eng. Fract. Mech., 1985, 22, p 989鈥?96 5)90038-4" target="_blank" title="It opens in new window">CrossRef
  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鈥?51 5096(88)90014-2" target="_blank" title="It opens in new window">CrossRef
  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鈥?749 5.02.037" target="_blank" title="It opens in new window">CrossRef
  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鈥?29 CrossRef
  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, 2003 540-71398-2" target="_blank" title="It opens in new window">CrossRef
  23. S.L. Semiatin, V. Seetharaman, and I. Weiss, Hot Workability of Titanium and Titanium Aluminide Alloys鈥擜n Overview, / Mater. Sci. Eng., 1998, 243(A), p 1鈥?4 5093(97)00776-4" target="_blank" title="It opens in new window">CrossRef
  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鈥?45 5093(01)01531-3" target="_blank" title="It opens in new window">CrossRef
  25. Y. Millet, / Journ茅es 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鈥?5
  28. J.J. Brioist, Un mod猫le thermom茅canique du refroidissement des pi猫ces 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鈥?098 5" target="_blank" title="It opens in new window">CrossRef
  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鈥?503 CrossRef
  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鈥?048
  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鈥?9
  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鈥?087 526620338232" target="_blank" title="It opens in new window">CrossRef
  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鈥?44 CrossRef
  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鈥?3 5-5416(86)90356-3" target="_blank" title="It opens in new window">CrossRef
  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鈥?39 CrossRef
  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鈥?69 5096(76)90024-7" target="_blank" title="It opens in new window">CrossRef
  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鈥?88 5" target="_blank" title="It opens in new window">CrossRef
  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鈥?4 5096(83)90017-0" target="_blank" title="It opens in new window">CrossRef
  40. D. Holland, A. Halim, and W. Dahl, Influence of Stress Triaxiality Upon Ductile Crack Propagation, / Steel Res., 1990, 61, p 504鈥?06
  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鈥?61 CrossRef
  42. P.W. Bridgman, The Stress Distribution at the Neck of a Tension Specimen, / Trans. ASME, 1944, 32, p 553鈥?74
  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鈥?04 CrossRef
  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鈥?19, p 169鈥?72
  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鈥?86 59-6462(99)00178-5" target="_blank" title="It opens in new window">CrossRef
  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鈥?33 5093(01)01779-8" target="_blank" title="It opens in new window">CrossRef
  47. R. Mythili, S. Saroja, and M. Vijayalakshmi, Study of Mechanical Behavior and Deformation Mechanism in an 伪-尾 Ti-4.4Ta-1.9Nb Alloy, / Mater. Sci. Eng. A, 2007, 454鈥?55, p 43鈥?1 CrossRef
  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鈥?31 CrossRef
  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鈥?034 5.12.004" target="_blank" title="It opens in new window">CrossRef
  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鈥?25 5096(90)90025-Y" target="_blank" title="It opens in new window">CrossRef
  53. Y. Huang, Accurate Dilatation Rates for Spherical Voids in Triaxial Stress Fields, / J. Appl. Mech., 1991, 58, p 1084鈥?085 5/1.2897686" target="_blank" title="It opens in new window">CrossRef
  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鈥?39 CrossRef
  55. T. Pardoen and J.W. Hutchinson, An Extended Model for Void Growth and Coalescence, / J. Mech. Phys. Solids, 2000, 48, p 2467鈥?512 5096(00)00019-3" target="_blank" title="It opens in new window">CrossRef
  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鈥?223 CrossRef
  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鈥?047 CrossRef
  58. G. Yuan and X. Lu, An Active Set Limited Memory BFGS Algorithm for Bound Constrained Optimization, / Appl. Math. Model., 2011, 35, p 3561鈥?573 CrossRef
  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鈥?39 CrossRef
  60. N. Andrei, A Scaled BFGS Preconditioned Conjugate Gradient Algorithm for Unconstrained Optimization, / Appl. Math. Lett., 2007, 20, p 645鈥?50 5" target="_blank" title="It opens in new window">CrossRef
  61. J.L. Morales, A Numerical Study of Limited Memory BFGS Methods, / Appl. Math. Lett., 2002, 15, p 481鈥?87 59(01)00162-8" target="_blank" title="It opens in new window">CrossRef
  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
  
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Chemistry
  Characterization and Evaluation Materials
  Materials Science
  Tribology, Corrosion and Coatings
  Quality Control, Reliability, Safety and Risk
  Engineering Design
  
• 出版者：Springer New York
• ISSN：1544-1024

文摘

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.