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Zaiser M, Grasset FM, Koutsos V, et al. Self-affine surface morphology of plastically deformed metals. Phys Rev Lett. 2004;93(19):195507doi: 10.1103/PhysRevLett.93.195507.
Zaiser, M., Grasset, F. M., Koutsos, V., & Aifantis, E. C. (2004). Self-affine surface morphology of plastically deformed metals. Physical review letters, 93(19), 195507. https://doi.org/10.1103/PhysRevLett.93.195507
Zaiser, Michael, et al. "Self-affine surface morphology of plastically deformed metals." Physical review letters vol. 93,19 (2004): 195507. doi: https://doi.org/10.1103/PhysRevLett.93.195507
Zaiser M, Grasset FM, Koutsos V, Aifantis EC. Self-affine surface morphology of plastically deformed metals. Phys Rev Lett. 2004 Nov 05;93(19):195507. doi: 10.1103/PhysRevLett.93.195507. Epub 2004 Nov 05. PMID: 15600851.
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Phys Rev Lett. 2004 Nov 05;93(19):195507. doi: 10.1103/PhysRevLett.93.195507. Epub 2004 Nov 05.

Self-affine surface morphology of plastically deformed metals.

Physical review letters

Michael Zaiser, Frederic Madani Grasset, Vasileios Koutsos, Elias C Aifantis

Affiliations

  1. Centre for Materials Science and Engineering, The University of Edinburgh, The King's Buildings, Sanderson Building, Edinburgh EH9 3JL, United Kingdom.

PMID: 15600851 DOI: 10.1103/PhysRevLett.93.195507

Abstract

We analyze the surface morphology of metals after plastic deformation over a range of scales from 10 nm to 2 mm using atomic force microscopy and scanning white-light interferometry. We demonstrate that an initially smooth surface during deformation develops self-affine roughness over almost 4 orders of magnitude in scale. The Hurst exponent H of one-dimensional surface profiles initially decreases with increasing strain and then stabilizes at H approximately 0.75. We show that the profiles can be mathematically modeled as graphs of a fractional Brownian motion. Our findings can be understood in terms of a fractal distribution of plastic strain within the deformed samples.

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