Mechanical properties of multiphase materials and rocks: A phenomenological approach using generalized means

Journal of Structural Geology

Volumn 26, Issue 8, 2004, Pages 1377-1390

  Ji, Shaocheng ^a,b   Wang, Qin ^a   Xia, Bin ^b   Marcotte, Denis ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b GUANGZHOU INSTITUTE OF GEOCHEMISTRY   (China)

Author keywords

Composite materials; Elastic properties; Generalized means; Multiphase rocks; Rheology; Seismic discontinuities

Indexed keywords

MULTIPHASE MATERIALS; SEMI-EMPIRICAL MODELS;

ELASTIC MODULI; GEOLOGIC MODELS; HARMONIC ANALYSIS; MICROSTRUCTURE; RHEOLOGY; ROCKS; SEISMOLOGY;

STRUCTURAL GEOLOGY;

MECHANICAL PROPERTY; NUMERICAL MODEL; RHEOLOGY; ROCK MICROSTRUCTURE; STRESS-STRAIN RELATIONSHIP; STRUCTURAL GEOLOGY;

EID: 3042580335     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsg.2003.12.004     Document Type: Article

References (65)

1. 4: Calorimetric measurements, thermochemical calculation, and geophysical application Journal of Geophysical Research 94 1989 15671-15685
2. Arzi A.A. Critical phenomena in the rheology of partially melted rocks Tectonophysics 44 1978 173-184
3. Benz H.M. Vidale J.E. Sharpness of upper mantle discontinuities determined from high-frequency reflections Nature 365 1993 147-150
4. Berge P.A. Bonner B.P. Berryman J.G. Ultrasonic velocity-porosity relationship for sandstone analogs made from fused glass beads Geophysics 60 1995 108-119
5. Berryman J.G. Role of porosity in estimates of composite elastic constants Journal of Energy Resources Technology 116 1994 87-96
6. Berryman J.G. Mixture theories of rock properties Ahrens T.J. Rock Physics and Phase Relations: A Handbook on Physical Constants 1995 205-228 AGU Washington, DC
7. Bina C.R. Kumazawa M. Thermodynamic coupling of phase and chemical boundaries Physics of the Earth and Planetary Interiors 76 1993 329-341
8. Braem M. Van Doren V.E. Lambrechts P. Vanherle G. Determination of Young's modulus of dental composites: A phenomenological model Journal of Material Science 22 1987 2037-2042
9. Chen P.E. Lin J.M. Transverse properties of fibrous composites Material Research Standards 9 1969 29-33
10. Doi H. Fujiwara Y. Miyake K. Oosawa Y. A systematic investigation of elastic moduli of WC-Co alloys Metallurgical Transactions 1 1970 1417-1425
11. Dziewonski A.M. Anderson D.L. Preliminary reference Earth model Physics of the Earth and Planetary Interiors 25 1981 297-356
12. Einstein A. Eine neue Bestimmung der Molekuldimensionen Annals of Physics (Leipzig) 19 1906 289-306
13. Einstein A. Berichtigung zu meiner arbeit-eine neue Bestimmung der Molekuledimensionen Annals of Physics (Leipzig) 34 1911 591-592
14. 2 system at high pressure and high temperature Journal of Geophysical Research 96 1991 2157-2170
15. Gurland J. A structural approach to the yield strength of two-phase alloys with coarse microstructures Materials Science and Engineering 40 1979 59-71
16. Gustafson T.W. Panda P.C. Song G. Raj R. Influence of microstructural scale on plastic flow behavior of metal matrix composites Acta Materialia 45 1997 1633-1643
17. Hashin Z. Shtrikman S. A variation approach to the theory of the elastic behavior of multiphase materials Journal of the Mechanics and Physics of Solids 11 1963 127-140
18. Hasselman D.P. Fulrath R.M. Effect of alumina dispersion on Young's modulus of a glass Journal of the American Ceramic Society 48 1965 218-219
19. Hasselman D.P. Fulrath R.M. Effect of spherical tungsten dispersion on Young's modulus of a glass Journal of the American Ceramic Society 48 1965 548-549
20. Hill R. Elastic properties of reinforced solids: Some theoretical principles Journal of the Mechanics and Physics of Solids 11 1963 357-372
21. Ishai O. Cohen L.J. Elastic properties of filled and porous epoxy composites International Journal of Mechanical Sciences 9 1967 539-546
22. Jeanloz R. Thompson A.B. Phase transitions and mantle discontinuities Reviews of Geophysics 21 1983 51-74
23. Ji S.C. Wang Z. Elastic properties of forsterite-enstatite composites up to 3.0 GPa Journal of Geodynamics 28 1999 147-174
24. Ji S.C. Xia B. Rheology of Polyphase Earth Materials 2002 Polytechnic International Press Montreal
25. Ji S.C. Zhao P. Strength of two-phase rocks: A model based on fiber-loading theory Journal of Structural Geology 16 1994 253-262
26. Ji S.C. Wirth R. Rybacki E. Jiang Z. High-temperature plastic deformation of quartz-plagioclase multilayers by layer-normal compression Journal of Geophysical Research 105 2000 16,651-16,664
27. Ji S.C. Wang Z.C. Wirth R. Bulk flow strength of forsterite-enstatite composites as a function of forsterite content Tectonophysics 341 2001 69-93
28. Ji S.C. Wang Q. Xia B. Handbook of Seismic Properties of Minerals, Rocks and Ores 2002 Polytechnic International Press Montreal
29. Ji S.C. Wang Q. Xia B. P-wave velocities of polymineralic rocks: Comparison of theory and experiment and test of elastic mixture rules Tectonophysics 366 2003 165-185
30. 4 at high-pressures and temperatures: Precise determination of stabilities of olivine, modified spinel, and spinel Journal of Geophysical Research 94 1989 15663-15670
31. Kenyon A.S. Duffey H.J. Properties of a particulate-filled polymer Polymer Engineering and Science 7 1967 189-193
32. Knudson F.P. Effect of porosity on Young's modulus of alumina Journal of the American Ceramic Society 45 1962 94-95
33. Korvin G. Axiomatic characterization of the general mixture rule Geoexploration 19 1982 267-276
34. Lebedev S. Chevrot S. van der Hilst R.D. Seismic evidence for olivine phase changes at the 410- and 660-kilometer discontinuities Science 296 2002 1300-1302
35. Lees A.C. Bukowinski M.S.T. Jeanloz R. Reflection properties of phase transition and compositional change models of the 670-km discontinuity Journal of Geophysical Research 88 1983 8145-8159
36. Lejeune A.M. Richet P. Rheology of crystal-bearing silicate melts: An experimental study at high viscosities Journal of Geophysical Research 100 1995 4215-4229
37. Leven J.H. The application of synthetic seismograms to the interpretation of the upper mantle P-wave velocity structure in northern Australia Physics of the Earth and Planetary Interiors 38 1985 9-27
38. Lloyd D.J. Aspects of fracture in particulate reinforced metal matrix composites Acta Metallurgica et Materialia 39 1991 59-71
39. Mainprice D. Humbert M. Methods of calculating petrophysical properties from lattice preferred orientation data Surveys in Geophysics 15 1994 575-592
40. Matthies S. Humbert M. The realization of the concept of a geometric mean for calculating physical constants of polycrystalline materials Physica Status Solidi B177 1993 K47-K50
41. McDanels D.L. Analysis of stress-strain, fracture and ductility of aluminium matrix composites containing discontinuous silicon carbide reinforcement Metallurgical Transactions 16A 1985 1105-1115
42. Mewis J. Macosko C.W. Suspension rheology Macosko C.W. Rheology: Principles, Measurements and Applications 1994 425-474 VCH New York
43. Montagner J.P. Anderson D.L. Constrained reference mantle model Physics of the Earth and Planetary Interiors 58 1989 205-227
44. Paul B. Prediction of elastic constants of multiphase materials Transactions of the Metallurgical Society of AIME 218 1960 36-41
45. Paulssen H. Evidence for a sharp 670-km discontinuity as inferred from P-to-S converted waves Journal of Geophysical Research 93 1988 10,489-10,500
46. Perrott C.M. On the indentation fracture of cemented carbide II-the nature of surface fracture toughness Wear 47 1978 81-91
47. Ravichandran K.S. Elastic properties of two-phase composites Journal of the American Ceramic Society 77 1994 1178-1184
48. Richard T.G. The mechanical behavior of a solid microsphere filled composite Journal of Composite Materials 9 1975 108-113
49. Rutter E.H. Neumann D.H.K. Experimental deformation of partially molten Westerly granite under fluid-absent conditions, with implications for the extraction of granitic magma Journal of Geophysical Research 100 1995 15697-15715
50. Smith J.C. Experimental values for the elastic constants of a particulate-filled glassy polymer Journal of Research of the National Bureau of Standards-A. Physics and Chemistry 80A 1976 45-49
51. Solomatov V.S. Stevenson D.J. Can sharp seismic discontinuities be caused by nonequilibrium phase transitions? Earth and Planetary Science Letters 125 1994 267-279
52. Spriggs R.M. Expression for effect of porosity on elastic modulus of polycrystalline refractory materials, particularly aluminium oxide Journal of the American Ceramic Society 44 1961 628-629
53. Spriggs R.M. Brissette L.A. Vasilos T. Effect of porosity on elastic and shear moduli of polycrystalline magnesium oxide Journal of the American Ceramic Society 45 1962 400-405
54. Stixrude L. Structure and sharpness of phase transitions and mantle discontinuities Journal of Geophysical Research 102 1997 14835-14852
55. Tharp T.M. Analogies between the high-temperature deformation of polyphase rocks and the mechanical behavior of porous powder metal Tectonophysics 96 1983 T1-11
56. Treagus S.H. Modeling the bulk viscosity of two-phase mixtures in terms of clast shape Journal of Structural Geology 24 2002 57-76
57. Tullis T. Horowitz F.G. Tullis J. Flow laws of polyphase aggregates from end-member flow Journal of Geophysical Research 96 1991 8081-8096
58. Walsh J.B. Brace W.F. England A.W. Effect of porosity on compressibility of glass Journal of the American Ceramic Society 48 1965 605-608
59. Watt J.P. O'Connell R.J. An experimental investigation of the Hashin-Shtrikman bounds on two-phase aggregate elastic properties Physics of the Earth and Planetary Interiors 21 1980 359-370
60. 2O on the 410-kilometer seismic discontinuity Nature 268 1995 74-76
61. Wyllie M.R.J. Gregory A.R. Gardner L.W. Elastic wave velocities in heterogeneous and porous media Geophysics 21 1956 41-70
62. Yang J. Pickard S.M. Cady C. Evans A.G. Mehrabian R. The stress/strain behavior of aluminum matrix composites with discontinuous reinforcements Acta Metallurgica et Materialia 39 1991 1863-1869
63. Zhang M. Ebrom D.A. McDonald J.A. Tatham R.H. Comparison of experimental velocity measurements with theoretical results in a solid-solid composite material Geophysics 61 1996 1429-1435
64. Zhao P. Ji S.C. Refinements of shear-lag model and its applications Tectonophysics 279 1997 37-53
65. Zhao Y. Anderson D.L. Mineral-physical constraints on the chemical composition of the Earth's lower mantle Physics of the Earth and Planetary Interiors 85 1994 273-292