J. Kim et Ss. Sunder, STATISTICAL EFFECTS ON THE EVOLUTION OF COMPLIANCE AND COMPRESSIVE FRACTURE-STRESS OF ICE, Cold regions science and technology, 26(2), 1997, pp. 137-152
The large scatter in the experimental data of ice is partly due to the
difference in the microstructure. The micromechanical damage model of
Wu and Shyam Sunder [Wu, M.S., Shyam Sunder, S., 1992. Elastic anisot
ropy and micro-damage processes in polycrystalline ice, Part I. Theore
tical formulation. Int. J. Fracture 55, 223-243.] is used to investiga
te the statistical effects caused by the randomness in the microstruct
ural properties such as: microcrack length, grain size and crystallogr
aphic orientation, Probability density functions are constructed from
experimental data to represent the distribution of parameters, and are
used to predict the evolution of the compliance. A probability theory
is used to formulate the probabilistic distribution of the failure st
ress and the compliance caused by the distribution of the underlying m
icrostructural parameters. The 10 to 90th percentiles of the failure s
tress obtained from the model analysis reasonably match with the scatt
er in the given experimental data. (C) 1997 Elsevier Science B.V.