Power law creep and delayed failure of gels and fibrous materials under stress.

Soft Matter

Department of Physics, Durham University, Science Laboratories, South Road, Durham DH1 3LE, UK.

Published: March 2024

Motivated by recent experiments studying the creep and breakup of a protein gel under stress, we introduce a simple mesoscopic model for the irreversible failure of gels and fibrous materials, and demonstrate it to capture much of the phenomenology seen experimentally. This includes a primary creep regime in which the shear rate decreases as a power law over several decades of time, a secondary crossover regime in which the shear rate attains a minimum, and a tertiary regime in which the shear rate increases dramatically up to a finite time singularity, signifying irreversible material failure. The model also captures a linear Monkman-Grant scaling of the failure time with the earlier time at which the shear rate attained its minimum, and a Basquin-like power law scaling of the failure time with imposed stress, as seen experimentally. The model furthermore predicts a slow accumulation of low levels of material damage during primary creep, followed by the growth of fractures leading to sudden material failure, as seen experimentally.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10933735PMC
http://dx.doi.org/10.1039/d3sm01608kDOI Listing

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