A percolation model for lifetime variability in polymeric materials under creep conditions

The authors propose a microlevel theory of damage accumulation in polymeric materials. On the basis of experimental data on submicro- and microcracks, they relate the time-dependent strength distribution in polymeric materials under applied load to the distribution of the largest cluster size in a s...

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Bibliographic Details
Published in:Journal of applied physics 2000-07, Vol.88 (1), p.76-87
Main Authors: Zeifman, Michael I., Ingman, Dov
Format: Article
Language:English
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Summary:The authors propose a microlevel theory of damage accumulation in polymeric materials. On the basis of experimental data on submicro- and microcracks, they relate the time-dependent strength distribution in polymeric materials under applied load to the distribution of the largest cluster size in a site percolation lattice well below the percolation threshold ρc. The empty sites fraction ρ in the percolation lattice is suggested to increase with a constant rate, evaluated using the model of a trigger-type molecular reaction described in the literature. Duxbury’s initial study of the largest cluster size distribution is extended by Monte Carlo simulations. While the latter distribution is confirmed to be double exponential, the characteristic largest cluster size (the distribution mode) is found to increase exponentially with ρ within the range ρ0
ISSN:0021-8979
1089-7550
DOI:10.1063/1.373627