Hardness, toughness, and modulus of some common metamorphic minerals

American Mineralogist

Volumn 92, Issue 2-3, 2007, Pages 281-288

  Whitney, Donna L ^a   Broz, Margaret ^b   Cook, Robert F ^b,c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b University of Minnesota   (United States)

^c NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

Al2SiO5; Fracture toughness; Garnet; Hardness; Indentation; Mechanical properties; Metamorphic minerals; Modulus; Quartz

Indexed keywords

CALCITE; FELDSPAR; GARNETS; HARDNESS; INDENTATION; MAGNESIA; MECHANICAL PROPERTIES; QUARTZ; SILICON; ZIRCONIA;

AL2SIO5; DEPTH SENSING INDENTATION; EXPERIMENTAL TECHNIQUES; FRACTURE TOUGHNESS VALUES; INDENTATION MODULUS; INDENTATION-INDUCED CRACKING; MODULUS; ROCK-FORMING MINERALS;

FRACTURE TOUGHNESS;

CHEMICAL COMPOSITION; ELASTIC MODULUS; FRACTURE TOUGHNESS; GARNET; HARDNESS; INDENTATION; MOHS SCALE; PLASTICITY; POLYMORPHISM; QUARTZ;

EID: 33947241468     PISSN: 0003004X     EISSN: None     Source Type: Journal    
DOI: 10.2138/am.2007.2212     Document Type: Conference Paper

References (54)

1. Anstis, G.R., Chantikul, P., Marshall, D.B., and Lawn, B.R. (1981) Evaluation of indentation techniques for measuring fracture toughness: I. Direct crack measurements. Journal of the American Ceramic Society, 64, 533-538.
2. Babuska, V., Fiala, J., Kumazawa, M., and Ohno, I. (1978) Elastic properties of garnet solid-solution series. Physics of the Earth and Planetary Interiors, 16, 157-176.
3. Bass, J.D. (1986) Elasticity of uvarovite and andradite garnets. Journal of Geophysical Research, 91, 7505-7516.
4. Bass, J.D. (1989) Elasticity of grossular and spessartine garnets by Brillouin spectroscopy. Journal of Geophysical Research, 94, 7621-7628.
5. Bass, J.D. (1995) Elasticity of minerals, glasses, and melts in mineral physics and crystallography. In T.J. Ahrens, Ed., A Handbook of Physical Constants, 2. American Geophysical Union, Washington, D.C.
6. Brace, W.F. (1963) Behavior of quartz during indentation. Journal of Geology, 71, 581-595.
7. Broz, M.B., Cook, R.F., and Whitney, D.L. (2006) Microhardness, toughness, and modulus of Mohs scale minerals. American Mineralogist, 91, 135-142.
8. Cáceras, D., Vergara, I., and González, R. (2003) Microstructural characterization of MgO thin films grown by radio-frequency sputtering: target and substrate-temperature effect. Journal of Applied Physics, 93, 4300-4305.
9. Chai, M., Brown, J.M., and Slutsky, L.J. (1997) The elastic constants of a pyrope-grossular-almandine garnet to 20 GPa. Geophysical Research Letters, 24, 523-526.
10. Chung, D.-H. and Lawrence, W.G. (1964) Relation of single-crystal elastic constants to polycrystalline isotropic elastic moduli of MgO: II, Temperature dependence. Journal of the American Ceramic Society, 47, 448-455.
11. Clarke, F.J.P., Tattersall, H.G., and Tappin, G. (1966) Toughness of ceramics and their work of fracture. Proceedings of the British Ceramic Society, 6, 163-172.
12. Comodi, P., Zanazzi, R.F., Poli, S., and Schmidt, M.W. (1997) High-pressure behavior of kyanite: Compressibility and structural deformations. American Mineralogist, 82, 452-459.
13. Conrad, P.G., Zha, C.-S., Mao, H.-K., and Hemley, R.J. (1999) The high-pressure, single-crystal elasticity of pyrope, grossular, and andradite. American Mineralogist, 84, 374-383.
14. Cook, R.F. and Liniger, E.G. (1992) Grain-size effects in the indentation fracture of MgO. Journal of Materials Science, 27, 4751-4761.
15. Cook, R.F. and Pharr, G.M. (1990) Direct observation and analysis of indentation cracking in glasses and ceramics. Journal of the American Ceramic Society, 73, 787-817.
16. Cook, R.F., Liniger, E.G., and Pascucci, M.R. (1994) Indentation fracture of polycrystalline cubic ceramics. Journal of Hard Materials, 5, 191-212.
17. Darot, M., Gueguen, Y., Benchemam, Z., and Gaboriaud, R. (1985) Ductile-brittle transition investigated by micro-indentation: results for quartz and olivine. Physics of the Earth and Planetary Interiors, 40, 180-186.
18. Evans, B. (1984) The effect of temperature and impurity content on indentation hardness of quartz. Journal of Geophysical Research, 89, 4213-4222.
19. Farber, B.Y., Orlov, V.I., and Heuer, A.H. (1998) Energy dissipation during high temperature displacement-sensitive indentation in cubic zirconia single crystals. Physica Status Solidi A, 166, 115-126.
20. Frischbutter, A., Neov, D., Scheffzuk, C., Vrana, M., and Walther, K. (2000) Lattice strain measurements on sandstone under load using neutron diffraction. Journal of Structural Geology, 22, 1587-1600.
21. Goldsby, D.L., Rar, A., Pharr, G.M., and Tullis, T.E. (2004) Nanoindentation creep of quartz, with implications for rate- and state-variable friction laws relevant to earthquake mechanics. Journal of Materials Research, 19, 357-365.
22. Goto, T., Ohno, I., and Sumino, Y. (1976) The determination of elastic constants of natural pyrope-almandine garnet by means of rectangular parallelepiped resonance methods. Physics of the Earth, 24, 149-158.
23. 3) garnets solid solution. Physics and Chemistry of Minerals, 27, 445-452.
24. Hartley, N.E.W. and Wilshaw, T.R. (1973) Deformation and fracture of synthetic α-quartz. Journal of Materials Science, 8, 265-278.
25. Ingel, R.P. and Lewis, D. (1988) Elastic anisotropy in zirconia single crystals. Journal of the American Chemical Society, 71, 265-271.
26. Isaak, D.G. and Graham, E.K. (1976) The elastic properties of an almandine-spessartine garnet and elasticity in the garnet solid solution series. Journal of Geophysical Research, 81, 2483-2489.
27. Jiang, F., Speziale, S., and Duffy, T. (2004) Single-crystal elasticity of grossular-and almandine-rich garnets to 11 GPa by Brillouin scattering. Journal of Geophysical Research, 109, B10210 (DOI: 10.1029/ 2004JB003081).
28. Karato, S., Wang, Z., Liu, B., and Fujino, K. (1995) Plastic deformation of garnets: systematics and implications for the theology of the mantle transition zone. Earth and Planetary Science Letters, 130, 13-30.
29. Kessler, J.B., Ritter, J.E., and Rice, R.W. (1974) The effects of microstructure on the fracture energy of hot pressed MgO. Surface and Interface of Glasses and Ceramics, 529-544.
30. Lawn, B.R., Evans, A.G., and Marshall, D.B. (1980) Elastic/plastic indentation damage in ceramics: the median/radial crack system. Journal of the American Ceramic Society, 63, 574-581.
31. Leitner, B.J., Weidner, D.J., and Liebermann, R.C. (1981) Elasticity of single crystal pyrope and implications for garnet solid solution series. Physics of the Earth and Planetary Interiors, 22, 111-121.
32. Masuda, T., Hiraga, T., Ikei, H., Kanda, H., Kugimiya, Y., and Akizuki, M. (2000) Plastic deformation of quartz at room temperature: a Vickers nano-indentation test. Geophysical Research Letters, 27, 2773-2776.
33. Mecholsky, J.J., Freiman, S.W., and Rice, R.W. (1976) Fracture surface analysis of ceramics. Journal of Materials Science, 11, 1310-1319.
34. Morris, D.J. and Cook, R.F. (2005) Radial fracture during indentation by acute probes: I, description by an indentation wedging model. International Journal of Fracture, 136, 237-264.
35. Oliver, W.C. and Pharr, G.M. (1992) An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. Journal of Materials Research, 7, 1564-1583.
36. O'Neill, B., Bass, J.D., Rossman, G.R., Geiger, C.A., and Langer, K. (1991) Elastic properties of pyrope. Physics and Chemistry of Minerals, 17, 617-621.
37. Pavese, A., Lecy, D., and Pischedda, V. (2001) Elastic properties of andradite and grossular, by synchrotron X-ray diffraction at high pressure conditions. European Journal of Mineralogy, 13, 929-937.
38. Rice, R.W., Freiman, S.W., and Becher, P.F. (1981) Grain-size dependence of fracture energy in ceramics: I, Experiment. Journal of the American Ceramic Society, 64, 345-350.
39. Soga, N. (1967) Elastic constants of garnet under pressure and temperature. Journal of Geophysics Research, 72, 4227-4234.
40. Tabor, D. (1956) The physical meaning of indentation and scratch hardness. British Journal of Applied Physics, 7, 159-166.
41. Thum, J. and Cook, R.F. (2004) Indentation-induced deformation at ultramicroscopic and macroscopic contacts. Journal of Materials Research, 19, 124-130.
42. van Westrenen, W., Blundy, J., and Wood, B. (1999) Crystal chemical controls on trace element partitioning between garnet and anhydrous silicate melt. American Mineralogist, 84, 838-847.
43. 2+ on garnet-melt trace element partitioning: experiments in FCMAS and quantification of crystal chemical controls in natural systems. Lithos, 53, 189-201.
44. van Westrenen, W., Wood, B.J., and Blundy, J.D. (2001) A predictive thermodynamic model of garnet-melt trace element partitioning. Contributions to Mineralogy and Petrology, 142, 219-234.
45. Vlassak, J.J. and Nix, W.D. (1993) Indentation modulus of elastically anisotropic half spaces. Philosophical Magazine A, 67, 1045-1056.
46. Wang, H. and Simmons, G. (1974) Elasticity of some mantle crystal structures, 3. Spessartite-almandine garnet. Journal of Geophysical Research, 79, 2607-2613.
47. Wang, Z. and Ji, S. (2001) Elasticity of six polycrystalline silicate garnets at pressure up to 3.0 GPa. American Mineralogist, 86, 1209-1218.
48. Weaver, J.S., Takahashi, T., and Bass, J.D. (1976) Isothermal compression of grossular garnets to 250 kbar and the effect of calcium on the bulk modulus. Journal of Geophysical Research, 81, 2475-2482.
49. Webb, S.L. (1989) The elasticity of the upper mantle orthosilicates olivine and garnet to 3 GPa. Physics and Chemistry of Minerals, 16, 684-692.
50. Westbrook, J.H. (1958) Temperature dependence of strength and brittleness of some quartz structures. Journal of the American Ceramic Society, 41, 433-440.
51. Whitney, D.L., Cooke, M.L., and Du Frane, S.A. (2000) Modeling of radial fracturing at corners of inclusions in garnet using fracture mechanics. Journal of Geophysical Research, 105, 2843-2853.
52. 5 polymorphs andalusite, sillimanite, and kyanite. Zeitschrift fur Kristallographie, 216, 67-70.
53. 5, at high pressure. American Mineralogist, 82, 467-474.
54. Yegeneh-Haeri, A., Weidner, D.J., and Ito, E. (1990) Elastic properties of the pyrope-majorite solid solution series. Geophysical Research Letters, 17, 2453-2456.