Self-affine nature of the stress-strain behavior of thin fiber networks.
The stress-strain behavior of toilet paper is studied. We find that the damaged parts of stress-strain curves possess a self-affine scaling invariance. Moreover, we find that the stress-strain behavior and the rupture line roughness are characterized by the same scaling (Hurst) exponent H, which is not universal: rather it changes from sample to sample. The variations on H are mainly due to fluctuations in the paper structure, which are larger than statistical errors within a sample. Furthermore, the same exponent governs the changes in the stress-strain curve as the strain rate increases. The fractal damage model is employed to explain experimental observations.
Balankin
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SEPI-ESIME, Edificio 5, 3er Piso, Instituto Politécnico Nacional, Mexico, Distrito Federal 07738, Mexico. balankin@iris.esimez.ipn.mx
Susarrey
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Bravo
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