Ductile-to-brittle transition in tensile failure of particle-reinforced metals

Journal of the Mechanics and Physics of Solids

Volumn 57, Issue 3, 2009, Pages 473-499

  Hauert, Aude ^a   Rossoll, Andreas ^a   Mortensen, Andreas ^a  

^a EPFL   (Switzerland)

Author keywords

Fracture mechanisms; Internal damage; Microcracking; Particulate reinforced material; Probability and statistics

Indexed keywords

BEAMS AND GIRDERS; CARBON FIBER REINFORCED PLASTICS; MICROCRACKING; SHEAR DEFORMATION; TENSILE STRENGTH; WEIBULL DISTRIBUTION;

DUCTILE-TO-BRITTLE TRANSITIONS; FAILURE CRITERION; FRACTURE MECHANISMS; HIGH VOLUME FRACTIONS; INTERNAL DAMAGE; LOAD TRANSFERS; LOCAL LOADS; MATRIX STRENGTHS; MICRO MECHANISMS; MICRO-MECHANICAL MODELS; PARTICLE FRACTURES; PARTICULATE REINFORCED MATERIAL; PROBABILITY AND STATISTICS; REINFORCING PARTICLES; STRESS-STRAIN BEHAVIOURS; TENSILE FAILURES; TENSILE INSTABILITIES; WEIBULL;

FRACTURE;

EID: 59649112138     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2008.11.006     Document Type: Article

References (91)

1. Argon A.S. Fracture: strength and toughness mechanisms. Comprehensive Composite Materials vol. 1.24 (2000), Pergamon, Oxford 763-802
2. Ayyar, A., Crawford, G.A., Williams, J.J., Chawla, N., 2008. Numerical simulation of the effect of particle spatial distribution and strength on tensile behavior of particle reinforced composites. Computational Materials Science, in press.
3. Bao G., Hutchinson J.W., and McMeeking R.M. Particle reinforcement of ductile matrices against plastic flow and creep. Acta Metallurgica et Materialia 39 8 (1991) 1871-1882
4. Batdorf S.B. Tensile strength of unidirectionally reinforced composites I. Journal of Reinforced Plastics and Composites 1 (1982) 153-164
5. Böhm H.J., and Han W. Comparisons between three-dimensional and two-dimensional multi-particle unit cell models for particle reinforced metal matrix composites. Modelling and Simulation in Materials Science and Engineering 9 2 (2001) 47-65
6. Böhm H.J., Eckschlager A., and Han W. Multi-inclusion unit cell models for metal matrix composites with randomly oriented discontinuous reinforcements. Computational Materials Science 25 1-2 (2002) 42-53
7. Böhm H.J., Han W., and Eckschlager A. Multi-inclusion unit cell studies of reinforcement stresses and particle failure in discontinuously reinforced ductile matrix composites. Computer Modelling in Engineering and Sciences 5 1 (2004) 5-20
8. Brockenbrough J.R., and Zok F.W. On the role of particle cracking in flow and fracture of metal matrix composites. Acta Metallurgica et Materialia 43 1 (1995) 11-20
9. Bréchet Y., Embury J.D., Tao S., and Luo L. Damage initiation in metal matrix composite. Acta Metallurgica et Materialia 39 8 (1991) 1781-1786
10. Budiansky B. On the elastic moduli of some heterogeneous materials. Journal of the Mechanics and Physics of Solids 13 4 (1965) 223-227
11. Bushby R.S. Evaluation of continuous alumina fibre reinforced composites based upon pure aluminium. Materials Science and Technology 14 (1998) 877-886
12. Caceres C.H., and Griffiths J.R. Damage by the cracking of silicon particles in an Al-7Si-0.4Mg casting alloy. Acta Materialia 44 1 (1996) 25-33
13. Chawla N., and Chawla K. Microstructure-based modeling of the deformation behavior of particle reinforced metal matrix composites. Journal of Materials Science 41 3 (2006) 913-925
14. Chawla N., Ganesh V.V., and Wunsch B. Three-dimensional (3D) microstructure visualization and finite element modeling of the mechanical behavior of SiC particle reinforced aluminum composites. Scripta Materialia 51 2 (2004) 161-165
15. Chi Z., Chou T.-W., and Shen G. Determination of single fibre strength distribution from fibre bundle testings. Journal of Materials Science 19 (1984) 3319-3324
16. Christensen R.M., and Lo K.H. Solutions for effective shear properties in three phase sphere and cylinder models. Journal of the Mechanics and Physics of Solids 27 4 (1979) 315-330
17. Clyne T.W., and Whiters P.J. An Introduction to Metal Matrix Composites (1993), Cambridge University Press, Cambridge, UK
18. Cocks A.C.F., and Ashby M.F. On creep fracture by void growth. Progress in Materials Science 27 3-4 (1982) 189-244
19. Curtin W.A. Stochastic damage evolution and failure in fiber-reinforced composites. Advances in Applied Mechanics vol. 36 (1999), Academic Press, London 163-253
20. Derrien K., Baptiste D., Guedra-Degeorges D., and Foulquier J. Multiscale modeling of the damaged plastic behavior and failure of Al SiCp composites. International Journal of Plasticity 15 6 (1999) 667-685
21. Deve H.E., and McCullough C. Continuous-fiber reinforced Al composites-a new-generation. JOM Journal of the Minerals Metals and Materials Society 47 7 (1995) 33-37
22. Eckschlager, A., Böhm, H.J., 2002. 3D finite element unit cell study of particle failure in brittle particle reinforced ductile matrix composites. In: Mang, H. A., Rammerstorfer, F.G., Eberhardsteiner, J. (Eds.), Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), paper # 80869.
23. Eckschlager A., Han W., and Böhm H.J. A unit cell model for brittle fracture of particles embedded in a ductile matrix. Computational Materials Science 25 1-2 (2002) 85-91
24. 3/Al metal matrix composite. Acta Materialia 44 5 (1996) 1873-1882
25. Evensen J.D. The influence of particle cracking on the fracture strain of some AlSi-alloys. Scripta Metallurgica 15 10 (1981) 1131-1133
26. Gammage J., Wilkinson D., Brechet Y., and Embury D. A model for damage coalescence in heterogeneous multi-phase materials. Acta Materialia 52 18 (2004) 5255
27. Goda K. A strength reliability model by Markov process of unidirectional composites with fibers placed in hexagonal arrays. International Journal of Solids and Structures 40 24 (2003) 6813-6837
28. González C., Segurado J., and Llorca J. Numerical simulation of elasto-plastic deformation of composites: evolution of stress microfields and implications for homogenization models. Journal of the Mechanics and Physics of Solids 52 7 (2004) 1573-1593
29. Han W., Eckschlager A., and Böhm H.J. The effects of three-dimensional multi-particle arrangements on the mechanical behavior and damage initiation of particle-reinforced MMCs. Composites Science and Technology 61 11 (2001) 1581-1590
30. Hauert, A., Rossoll, A., Mortensen, A., 2007. Highly loaded ceramic particle reinforced metal: role of particle fracture. International Conference on Composite Materials ICCM 16.
31. Hauert, A., Rossoll, A., Mortensen, A., 2008a. Particle fracture in high volume fraction ceramic reinforced metals: governing parameters and implications for composite failure. Journal of the Mechanics and Physics of Solids, to be submitted.
32. Hauert, A., Rossoll, A., Mortensen, A., 2008b. Young's modulus of ceramic particle reinforced aluminium: measurement by the impulse excitation technique and confrontation with analytical models. Composites Part A, submitted for publication.
33. Hemmer P.C., and Hansen A. The distribution of simultaneous fiber failures in fiber bundles. Journal of Applied Mechanics 59 (1992) 909-914
34. Hidalgo, R.C., Moreno, Y., Kun, F., Herrmann, H.J., 2002. Fracture model with variable range of interaction. Physical Review E 65 (4), 046148.1-8.
35. Hill R. A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids 13 4 (1965) 213-222
36. Hu G.K., Guo G., and Baptiste D. A micromechanical model of influence of particle fracture and particle cluster on mechanical properties of metal matrix composites. Computational Materials Science 9 3-4 (1998) 420-430
37. Kouzeli M., Weber L., San Marchi C., and Mortensen A. Influence of damage on the tensile behaviour of pure aluminium reinforced with >=40 vol% alumina particles. Acta Materialia 49 18 (2001) 3699-3709
38. Kouzeli M., Weber L., San Marchi C., and Mortensen A. Quantification of microdamage phenomena during tensile straining of high volume fraction particle reinforced aluminium. Acta Materialia 49 3 (2001) 497-505
39. Lahaie D.J., Embury J.D., and Zok F.W. Damage accumulation and mechanical properties of particle-reinforced metal-matrix composites during hydrostatic extrusion. Composites Science and Technology 64 10-11 (2004) 1539-1549
40. Lewis C.A., and Withers P.J. Weibull modelling of particle cracking in metal matrix composites. Acta Metallurgica et Materialia 43 10 (1995) 3685-3699
41. Llorca J. A numerical study of the mechanisms of cyclic strain hardening in metal-ceramic composites. Acta Metallurgica et Materialia 42 1 (1994) 151-162
42. Llorca J. An analysis of the influence of reinforcement fracture on the strength of discontinuously-reinforced metal-matrix composites. Acta Metallurgica et Materialia 43 1 (1995) 181-192
43. Llorca J., and González C. Microstructural factors controlling the strength and ductility of particle-reinforced metal-matrix composites. Journal of the Mechanics and Physics of Solids 46 1 (1998) 1-28
44. 3 composites. Materials Science and Engineering A 185 1-2 (1994) 25-37
45. Llorca J., Martin A., Ruiz J., and Elices M. Particulate fracture during deformation of a spray formed metal-matrix composite. Metallurgical and Materials Transactions A 24 7 (1993) 1575-1588
46. Llorca J., Martinez J.L., and Elices M. Reinforcement fracture and tensile ductility in sphere-reinforced metal-matrix composites. Fatigue and Fracture of Engineering Materials and Structures 20 5 (1997) 689-702
47. Mahesh S., Phoenix S.L., and Beyerlein I.J. Strength distributions and size effects for 2D and 3D composites with Weibull fibers in an elastic matrix. International Journal of Fracture 115 1 (2002) 41-85
48. Maire E., Wilkinson D.S., Embury J.D., and Fougeres R. Role of damage on the flow and fracture of particulate reinforced alloys and metal matrix composites. Acta Materialia 45 12 (1997) 5261-5274
49. Majumdar B.S., and Pandey A.B. Deformation and fracture of particle-reinforced aluminum alloy composite: Part II Modeling. Metallurgical and Materials Transactions A 31A (2000) 937-950
50. Matthewson M.J., Kurkjian C.R., and Gulati S.T. Strength measurement of optical fibers by bending. Journal of the American Ceramic Society 69 11 (1986) 815-821
51. Miserez A., and Mortensen A. Fracture of aluminium reinforced with densely packed ceramic particles: influence of matrix hardening. Acta Materialia 52 18 (2004) 5331-5345
52. 3 particle reinforced Al-2 wt%Cu. Materials Science and Technology 18 (2002) 1461-1470
53. Miserez A., Müller R., Rossoll A., Weber L., and Mortensen A. Particle reinforced metals of high ceramic content. Materials Science and Engineering A 387-389 (2004) 822-831
54. Miserez A., Rossoll A., and Mortensen A. Fracture of aluminium reinforced with densely packed ceramic particles: link between the local and the total work of fracture. Acta Materialia 52 5 (2004) 1337-1351
55. Miserez A., Rossoll A., and Mortensen A. Investigation of crack-tip plasticity in high volume fraction particulate metal matrix composites. Engineering Fracture Mechanics 71 16-17 (2004) 2385-2406
56. Miserez A., Müller R., and Mortensen A. Increasing the strength/toughness combination of high volume fraction particulate metal matrix composites using an Al-Ag matrix alloy. Advanced Engineering Materials 8 1-2 (2006) 56-62
57. Mishnaevsky L.L. Three-dimensional numerical testing of microstructures of particle reinforced composites. Acta Materialia 52 14 (2004) 4177-4188
58. Mochida T., Taya M., and Obata M. Effect of damaged particles on the stiffness of a particle/metal matrix composite. JSME International Journal 34 2 (1991) 187-193
59. Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21 5 (1973) 571-574
60. Mueller R., and Mortensen A. Simplified prediction of the monotonic uniaxial stress-strain curve of non-linear particulate composites. Acta Materialia 54 8 (2006) 2145-2155
61. Mueller R., Rossoll A., Weber L., Bourke M.A.M., Dunand D.C., and Mortensen A. Tensile flow stress of ceramic particle-reinforced metal in the presence of particle cracking. Acta Materialia 56 16 (2008) 4402-4416
62. Pedersen O.B. Overview 31: thermoelasticity and plasticity of composites 1: mean field-theory. Acta Metallurgica 31 11 (1983) 1795-1808
63. Phoenix S.L., and Beyerlein I.J. Statistical strength theory for fibrous composite materials. Comprehensive Composite Materials vol. 1.19 (2000), Pergamon, Oxford 559-639
64. Ponte Castañeda P. The effective mechanical properties of nonlinear isotropic composites. Journal of the Mechanics and Physics of Solids 39 1 (1991) 45-71
65. Ponte Castañeda P. New variational principles in plasticity and their application to composite materials. Journal of the Mechanics and Physics of Solids 40 8 (1992) 1757-1788
66. Poole W.J., and Charras N. An experimental study on the effect of damage on the stress-strain behaviour for Al-Si model composites. Materials Science and Engineering A 406 1-2 (2005) 300-308
67. Poole W.J., and Dowdle E.J. Experimental measurements of damage evolution in Al-Si eutectic alloys. Scripta Materialia 39 9 (1998) 1281-1287
68. Pradhan S., Chakrabarti B.K., and Hansen A. Crossover behavior in a mixed-mode fiber bundle model. Physical Review E 71 3 (2005) 036149 1-6
69. Segurado J., and Llorca J. A numerical approximation to the elastic properties of sphere-reinforced composites. Journal of the Mechanics and Physics of Solids 50 10 (2002) 2107-2121
70. Segurado J., and Llorca J. A new three-dimensional interface finite element to simulate fracture in composites. International Journal of Solids and Structures 41 11-12 (2004) 2977-2993
71. Segurado J., and Llorca J. Computational micromechanics of composites: the effect of particle spatial distribution. Mechanics of Materials 38 8-10 (2006) 873-883
72. Shen H., and Lissenden C.J. 3D finite element analysis of particle-reinforced aluminum. Materials Science and Engineering A 338 1-2 (2002) 271-281
73. Shen H., and Lissenden C.J. Stress and strain localization three-dimensional modeling for particle-reinforced metal matrix composites. Metallurgical and Materials Transactions A 36A 7 (2005) 1653-1660
74. Shen Y.L., Finot M., Needleman A., and Suresh S. Effective elastic response of two-phase composites. Acta Metallurgica et Materialia 42 1 (1994) 77-97
75. Smith R.L., Phoenix S.L., Greenfield M.R., Henstenburg R.B., and Pitt R.E. Lower-tail approximations for the probability of failure of three-dimensional fibrous composites with hexagonal geometry. Proceedings of the Royal Society of London Series A 388 1795 (1983) 353-391
76. Song M., and Huang D. Experimental and modeling of the coupled influences of variously sized particles on the tensile ductility of SiC p/Al metal matrix composites. Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science 38 9 (2007) 2127-2137
77. Spowart J.E., and Miracle D.B. The influence of reinforcement morphology on the tensile response of 6061/SiC/25p discontinuously-reinforced aluminum. Materials Science and Engineering A 357 1-2 (2003) 111-123
78. Sun C.J., Saffari P., Sadeghipour K., and Baran G. Effects of particle arrangement on stress concentrations in composites. Materials Science and Engineering A 405 1-2 (2005) 287-295
79. Suquet P. Overall properties of nonlinear composites: a modified secant moduli theory and its link with Ponte Castañeda's nonlinear variational procedure. Comptes Rendus de l'Académie des Sciences Serie IIb 320 (1995) 563-571
80. Suquet P. Effective properties of nonlinear composites. Continuum Micromechanics (1997), Springer, Vienna 197-264
81. Torquato S. Effective stiffness tensor of composite media: I. Exact series expansions. Journal of the Mechanics and Physics of Solids 45 9 (1997) 1421-1448
82. Torquato S. Effective stiffness tensor of composite media: II. Applications to isotropic dispersions. Journal of the Mechanics and Physics of Solids 46 8 (1998) 1411-1440
83. Torquato S. Random Heterogeneous Materials, Microstructure and Macroscopic Properties (2002), Springer, New York 593-631 (Chapter 22)
84. Weber L., Kouzeli M., San Marchi C., and Mortensen A. On the use of Considere's criterion in tensile testing of materials which accumulate internal damage. Scripta Materialia 41 5 (1999) 549-551
85. Weissenbek E., Böhm H.J., and Rammerstorfer F.G. Micromechanical investigations of arrangement effects in particle reinforced metal matrix composites. Computational Materials Science 3 2 (1994) 263-278
86. Wilkinson D.S., Pompe W., and Oeschner M. Modeling the mechanical behaviour of heterogeneous multi-phase materials. Progress in Materials Science 46 3-4 (2001) 379-405
87. Wilson D.M. Statistical tensile strength of Nextel™ 610 and Nextel™ 720 fibres. Journal of Materials Science 21 (1997) 2535-2542
88. Yan Y.W., and Geng L. Effects of particle size on deformation behaviour of metal matrix composites. Materials Science and Technology 23 3 (2007) 374-378
89. Yoshida M., Ogiso H., Nakano S., and Akedo J. Compression test system for a single submicrometer particle. Review of Scientific Instruments 76 9 (2005) 093905-093915
90. Zhao Y.H., and Weng G.J. Plasticity of a two-phase composite with partially debonded inclusions. International Journal of Plasticity 12 6 (1996) 781-804
91. Zhao Y.H., and Weng G.J. Transversely isotropic moduli of two partially debonded composites. International Journal of Solids and Structures 34 4 (1997) 493-507