Influence of mosaicity on the fracture behavior of sapphire

Abstract The resistance to breakage of sapphire samples of different crystallographic orientations and produced by the Kyropoulos and Verneuil processes was investigated. The fracture strength was determined by using four-point bending tests, whereas the single-edge V-notch beam method was used to measure the fracture toughness. For both mechanical properties, it was found that (i) Verneuil sapphire has values up to two times higher than Kyropoulos sapphire and (ii) the data scatter is also generally higher for Verneuil sapphire. The main factor responsible for this behavior is believed to be the presence of mosaicity in Verneuil and its absence in Kyropoulos sapphire. By using the Read–Shockley model to estimate the energy of low-angle grain boundaries, together with the Griffith energy criterion for intergranular crack propagation, it is demonstrated that intergranular fracture along the mosaic block boundaries is energetically more favorable than transgranular fracture for crack-to-boundary orientations smaller than a critical deflection angle. Nevertheless, both the location of the crack in respect to the boundary, as well as the 3-D nature of these features, must be taken into consideration for a complete description of the intergranular deflection toughening mechanism.

[1]  Farid F. Abraham,et al.  The atomic dynamics of fracture , 2001 .

[2]  Daniel C. Harris,et al.  Effects of Crystal Orientation and Temperature on the Strength of Sapphire , 2005 .

[3]  Huajian Gao,et al.  Dynamical fracture instabilities due to local hyperelasticity at crack tips , 2006, Nature.

[4]  C. Klein Flexural strength of sapphire: Weibull statistical analysis of stressed area, surface coating, and polishing procedure effects , 2004 .

[5]  Unstable crack motion is predictable , 2005 .

[6]  C. S. Wang,et al.  Measurements of Raman intensities and pressure dependence of phonon frequencies in sapphire , 1981 .

[7]  Wilfried Wunderlich,et al.  Molecular dynamics — simulations of the fracture toughness of sapphire , 2001 .

[8]  W. Weibull A statistical theory of the strength of materials , 1939 .

[9]  H. Schreyer,et al.  Experimental and Numerical Investigation of Failure of Alumina under Plane Stress , 1995 .

[10]  W. Read,et al.  Dislocation Models of Crystal Grain Boundaries , 1950 .

[11]  V. N. Kurlov,et al.  Effect of growth conditions on the strength of shaped sapphire , 1999 .

[12]  C. Rinaudo,et al.  Chemical and crystallographic investigations on the cracking of blue corundum, Al2O3, produced by the Verneuil technique , 2000 .

[13]  G. Pezzotti,et al.  Raman tensor analysis of sapphire single crystal and its application to define crystallographic orientation in polycrystalline alumina , 2009 .

[14]  A. Heuer,et al.  Slip and twinning dislocations in sapphire (α-Al2O3) , 1998 .

[15]  E. Yoffe,et al.  LXXV. The moving griffith crack , 1951 .

[16]  L. Doolittle A semiautomatic algorithm for rutherford backscattering analysis , 1986 .

[17]  Gross,et al.  Energy dissipation in dynamic fracture. , 1996, Physical review letters.

[18]  Keith T. Jacoby,et al.  How edge finish effects the strength of sapphire , 2005, SPIE Defense + Commercial Sensing.

[19]  Morphological instabilities of dynamic fractures in brittle solids. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  R. Spolenak,et al.  3-D raman spectroscopy measurements of the symmetry of residual stress fields in plastically deformed sapphire crystals , 2007 .

[21]  Thomas F. Kuech,et al.  Study on Sapphire Surface Preparation for III-Nitride Heteroepitaxial Growth by Chemical Treatments , 2002 .

[22]  M. R. Gallas,et al.  Calibration of the Raman effect in α–Al_2O_3 ceramic for residual stress measurements , 1995 .

[23]  E. R. Dobrovinskaya,et al.  Sapphire: Material, Manufacturing, Applications , 2009 .

[24]  Howard Kuhn,et al.  Mechanical testing and evaluation , 2000 .

[25]  C. Rinaudo,et al.  Characterization of Verneuil red corundum by X-ray topography , 2000 .

[26]  R. S. Krishnan,et al.  Raman effect of corundum , 1967 .

[27]  I. G. Pichugin,et al.  Chemical etching of sapphire , 1982 .

[28]  B. Lawn Fracture of Brittle Solids by Brian Lawn , 1993 .

[29]  Huajian Gao Surface roughening and branching instabilities in dynamic fracture , 1993 .

[30]  Liangchi Zhang,et al.  The effect of anisotropy on the deformation and fracture of sapphire wafers subjected to thermal shocks , 2007 .

[31]  E. Yoffe,et al.  The moving Griffith crack , 1951 .

[32]  Frederick Schmid,et al.  Growth of 15-inch diameter sapphire boules , 2003, SPIE Defense + Commercial Sensing.

[33]  T. Hioki,et al.  Strengthening of Al2O3 by ion implantation , 1984 .

[34]  M. B. Lewis,et al.  Ion implantation in ceramics-residual stress and properties , 1989 .

[35]  Weiyi Jia,et al.  Raman scattering from sapphire fibers , 1989, Annual Meeting Optical Society of America.

[36]  Y. Mai,et al.  Crack‐Interface Grain Bridging as a Fracture Resistance I, Mechanism in Ceramics: I, Experimental Study on Alumina , 1987 .

[37]  S. Wiederhorn Fracture of Sapphire , 1969 .