TY - GEN

T1 - Fishnet model for failure probability of nacre-like imbricated lamellar materials and Monte Carlo verification

AU - Bažant, Zdeněk P.

AU - Luo, Wen

N1 - Funding Information:
Partial support from the Army Research Office Grant W911 NF-15-1-0240 is gratefully acknowledged. Some preliminary studies also drew support from NSF Grant CMS = 0556323.
Publisher Copyright:
© 2018 Taylor & Francis Group, London.

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

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U2 - 10.1201/9781315182964-7

DO - 10.1201/9781315182964-7

M3 - Conference contribution

AN - SCOPUS:85061333183

SN - 9781138741171

T3 - Computational Modelling of Concrete Structures - Proceedings of the conference on Computational Modelling of Concrete&amp;amp;amp;amp;amp;amp;amp;amp;nbsp;and Concrete Structures, EURO-C 2018

SP - 73

EP - 78

BT - Computational Modelling of Concrete Structures - Proceedings of the conference on Computational Modelling of Concrete and Concrete Structures, EURO-C 2018

A2 - Pichler, Bernhard

A2 - Rots, Jan G.

A2 - Meschke, Günther

PB - CRC Press/Balkema

T2 - Conference on Computational Modelling of Concrete and Concrete Structures, EURO-C 2018

Y2 - 26 February 2018 through 1 March 2018

ER -