ABSTRACT

The conference paper reviews recent studies at Northwestern University, in which the connectivity in nacreous staggered lamellar systems is, for probabilistic analysis, represented as a fishnet pulled diagonally. The probability distributions of nacre, including its tail at 10−6 probability, turns out to be analytically tractable. The fishnet distribution is intermediate between those corresponding to the weakest link chain (series coupling) and fiber-bundle (parallel coupling). Millions of Monte Carlo simulations are presented to verify the analytical distribution, including its tail.