Abstract
Subcritical crack growth in brittle materials is considered when it is thermally activated and water vapor affected. Effects of material structure on the crack growth were investigated. Special case of subcritical crack growth is examined when the crack growth is decided by water vapor enhanced rupture of some particulate strength controlling elements of material structure. The water vapor is assumed to be transported to these elements through the material by diffusion in a gas filling a system of interconnected open pore channels in the material volume. Calculated crack velocity plots versus the stress intensity factor, temperature and humidity are presented.
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Anderson, O.L. and Grew, P.C. (1977). Stress corrosion theory of crack propagation with application to geophysics. Review of Geophysics and Space Physics 15, 77–104.
Atkinson, B.K. and Meredith, P.G. (1987). The theory of subcritical crack growth with application to minerals and rocks. (Edited by B.K. Atkinson), Fracture Mechanics of Rock. Academic Press, 111–166.
Banks-Sills, L. and Salganik, R. (1994). An asymptotic approach applied to a longitudinal crack in an adhesive layer. International Journal of Fracture 68, 55–73.
Bartenev, G.M. and Razumovskaya, I.V. (1963). Time dependence of the strength of brittle materials in surface-active media. Soviet Physics, Doklady 8, 602–604.
Berry, J.P. (1972). Fracture of polymeric glasses. (Edited by H. Liebowitz), Fracture, Vol. VII. Academic Press, New York, 37–92.
Bershtein, V.A. (1987). Mechanical-Hydrolytic Processes and Strength of Solids, Nauka, Leningrad, (in Russian).
Brouers, F. and Ramsamugh, A. (1986). Relation between conductivity and fluid flow permeability in porous alumina ceramics. Solid State Communications 60, 951–953.
Charles, R.J. (1961). A review of glass strength. (Edited by J.E. Burke), Progress in Ceramic Science 1, Pergamon Press, New York, 1–38.
Dowling, N.E. (1993). Mechanical Behavior of Materials, Prentice-Hall, Englewood Clifts, New Jersey.
D'yakonov, M.I. (1987). Tunnel breaking of a stretched atomic chain. Soviet Physics, Solid State 29, 1493–1496.
Entov, V.M. and Salganik, R.L. (1968). The Prandtl model of brittle fracture. Mechanics of Solids 3, 79–89.
Fuller, Jr., E.R. and Thomson, R.M. (1978). Lattice theories of fracture. (Edited by R.C. Bradt, D.P.H. Hasselman and F.F. Lange), Fracture Mechanics of Ceramics 4, Plenum Press, New York, 507–548.
Gilman, J.J. and Tong, H.C. (1971). Quantum tunneling as an elementary fracture process. Journal of Applied Physics 42, 3479–3486.
Handbook of Physical Quantities (1997) (Edited by I. Grigoriev and E. Melikhov), CRC Press.
Henager, Jr., C.H. and Johnes, R.H. (1994). Subcritical crack growth in CVI silicon carbide reinforced with nicalon fibers: experiment and model. Journal of American Ceramic Society 77, 2381–2394.
Kittel, C. (1969). Thermal Physics, J. Wiley and Sons, New York.
Lawn, B.R. and Wilshaw, T.R. (1975). Fracture of Brittle Solids, Cambridge University Press, Cambridge.
Marero, T.A. and Mason, E.A. (1972). Gaseous diffusion coefficients. Journal of Physical and Chemical Reference Data 1, 3–76.
Mishalske, T.A. and Bunker, B.C. (1984). Slow fracture model on strained silicate structures. Journal of Applied Physics 56, 2686–2693.
Reed, J.R. (1995). Principles of Ceramics Processing, Second Edition, John Wiley and Sons, New York.
Regel, V.R., Slutsker, A.I. and Tomashevsky, E.E. (1974). Kinetic Nature of Strength of Solids, Nauka, Moscow, (in Russian).
Salganik, R.L. (1969). Temperature dependence of the rupture lifetime of solids. Soviet Physics, Doklady 14, 221–223.
Salganik, R.L. (1970a). On the fracture kinetics of solids. International Journal of Fracture Mechanics 6, 1–5.
Salganik, R.L. (1970b). Fluctuational rupture mechanism. Soviet Physics, Solid State 12, 1051–1056.
Salganik, R.L. (1994). The adhesive joint fracture due to crack propagation affected by heat and active agent concentration. International Journal of Fracture 65, 141–159.
Salganik, R.L. and Chertkov, V.Ya. (1969). Reduction of strength under the action of shrinkage stresses. Mechanics of Solids 4, 118–124.
Salganik, R.L., Slutsker, A.I. and Aidarov, Kh. (1984). Quantum features in the fracture kinetics of solids. Soviet Physics, Doklady 29, 136–138.
Shie, J. (1972). Quantum reactions in solids. Thesis, Department of Materials Science, State University of New York at Stony Brook.
Slutsker, A.I., Dmitriev, A.V. and Parfenova, E.E. (1993). Temperature dependence of the strength of silicon nitride ceramics. Technical Physics 38, 13–16.
Slutsker, A.I., Veliev, T.M., Alieva, I.K. and Abasov, S.A. (1991). Kinetics of polymer failure at moderate and low temperatures. Makromolekulare Chemie. Macromolecular Symposia 41, 109–118.
Thomson, R. Bond breaking at low T. Report, ARPA Materials Research Council Proceedings.
Weiner, J.H. (1983). Statistical Mechanics of Elasticity. J. Wiley and Sons, New York.
Weiss, V. (1971). Notch analysis of fracture. (Edited by H. Liebowitz), Fracture, Vol. III. Academic Press, New York and London, 227–264.
Wiederhorn, S.M. (1967). Influence of water vapor on crack propagation in soda-lime glass. Journal of American Ceramic Society 50, 407–414.
Wiederhorn, S.M. (1978) Mechanisms of subcritical crack growth in glass. (Edited by R.C. Bradt, D.P.H. Hasselman and F.F. Lange), Fracture Mechanics of Ceramics 4, Plenum Press, New York, 549–579.
Wiederhorn, S.M. and Bolz, L.H. (1970). Stress corrosion and static fatigue of glass. Journal of American Ceramic Society 53, 543–548.
Wiederhorn, S.M., Frieman, S.M., Fuller, E.R. and Simmons, C.J. (1982). Effect of water and other dielectrics on crack growth. Journal of Material Science 17, 3460–3478.
Wiederhorn, S.M., Fuller, Jr., E.R. and Thomson, R. (1980). Micromechanisms of crack growth in ceramics and glasses in corrosive environments. Metal Science 14, 450–458.
Wiederhorn, S.M., Johnson, H., Diness, A.M. and Heuer, A.H. (1974). Fracture of glass in vacuum. Journal of American Ceramic Society 57, 336–341.
Yokobori, T. (1965). The Strength, Fracture and Fatigue of Materials, P. Noordhoff Groningen.
Zhurkov, S.N. and Narzulaev, B.K. (1953). Time dependence of strength of solids. Soviet Phys. Tech. Phys. 23, 1677–1689.
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Salganik, R.L., Rapoport, L. & Gotlib, V.A. Effect of Structure on Environmentally Assisted Subcritical Crack Growth in Brittle Materials. International Journal of Fracture 87, 21–46 (1997). https://doi.org/10.1023/A:1007459100727
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DOI: https://doi.org/10.1023/A:1007459100727