Cracking in a loaded, brittle elastic half-space

Leon M Keer*, C. H. Kuo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


An approximation giving the relation between the applied load and the crack density in a microscratch test is presented from considerations of sliding contact and fracture analysis. First, the three-dimensional problem of two interacting cracks, with arbitrary shape and configuration, in an elastic half-space is analyzed using the body force method. Then, the analysis is specialized to study the surface cracking which occurs due to the indenter sliding over the rough, brittle half-space. Numerical examples are given for point contact by a spherical indenter sliding over a zirconia ceramic and the shielding effects between two adjacent surface cracks with different spacings are discussed in the context of the determination of crack density.

Original languageEnglish (US)
Pages (from-to)1819-1826
Number of pages8
JournalInternational Journal of Solids and Structures
Issue number14-15
StatePublished - Jan 1 1992

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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