Hertzian Testing to Obtain Flaw Distributions in High Strength Glasses and Glass‐Ceramics

Abstract

Hertzian testing is applied to obtain flaw distributions in two fusion‐drawn glasses and two glass‐ceramics. A tungsten carbide sphere (diameter either 1.0, 2.5, or 5.0 mm) was used to produce surface cracks (ring cracks and cone cracks). Two theoretical approaches were employed to describe the data. Both approaches are only descriptive for very high strength materials in which the surface flaw sizes are small (e.g., m + 2, where m is the conventional Weibull modulus. For the four different materials, the Weibull modulus varied between 8.0 for β‐quartz glass‐ceramic to 14.2 for fusion drawn alumni silicate glass. The second theoretical approach employs a modification of the method of Poloniecki and Wilshaw (the PW Method) to describe the distributions of very small flaws. The modification removes the need to bin the flaw distribution data. The modified PW Method revealed distinct differences in the flaw distributions between the four materials. These differences are consistent with the different Weibull moduli determined by ranking the different materials according to flaw size. However, Hertzian testing only probes relatively small flaw sizes and thus may differ from typical tensile or bending tests; nevertheless, the method should be applicable for extremely high strength materials.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 28, 2016
Source ID
10.1111/jace.14407

Entities

People

  • Ivar E. Reimanis
  • Robert A. Schaut

Organizations

  • Army Research Office
  • Colorado School of Mines
  • Corning Inc.
  • Office of Naval Research

Tags

Fields of Study

  • Materials science

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Statistical inference.
  • Structural Health Monitoring of Composite Structures.