Probabilistic considerations of the growth and detection of delaminations for repeated impact on composites

M. L. Cohen, J. D. Achenbach*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Repeated impact of foreign bodies on laminated composites may give rise to delamination damage. In this paper, experimental information is employed to formulate a growth law for delamination damage in terms of the impact energy per impact and number of impacts. The growth of regions of delamination is considered a stochastic problem, and hence the growth law is placed in a probabilistic setting by considering the evolution of a probability density function of delamination damage as the number of impacts increases. For a specific number of impacts, this formulation is used to determine the probability of a delamination in a selected range of delamination sizes. The formulation has been extended to include the effect of probability of detection as well as the effect of variable impact energy according to a probability density function. Finally, random variation of impact location is taken into account by the equivalent effect of a discrete probability function for the number of impacts at a fixed location.

Original languageEnglish (US)
Pages (from-to)3179-3187
Number of pages9
JournalJournal of Composite Materials
Issue number25
StatePublished - Oct 1 2014


  • Growth
  • delamination
  • detection
  • probability
  • probability of detection
  • repeated impact

ASJC Scopus subject areas

  • Ceramics and Composites
  • Mechanics of Materials
  • Mechanical Engineering
  • Materials Chemistry


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