A new empirical relation for the conventional measures of free surface roughness is proposed. Its geometric interpretation is a surface in three-dimensional space. A set of tests feasible for practical realization is discussed. Some available experimental and numerical results are used to reveal various qualitative features of the geometric surface. In particular, a reasonable assumption is that it is a ruled surface for a class of materials. A typical cross section of the surface, which is a curve, has an axis of symmetry if the roughening rate is independent of the sense of the strain rate normal to the material surface, where the roughness parameters should be predicted. The curve has a minimum at the axis of symmetry. Finally, there are two points, where the curve has a maximum. A simple analytic expression to specify the relation proposed for a given material is provided to fit experimental data.
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e-mail: sergei_alexandrov@yahoo.com
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February 2011
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A New Empirical Relation for Free Surface Roughening
Sergei Alexandrov,
Sergei Alexandrov
A. Yu. Ishlinsky Institute for Problems in Mechanics,
e-mail: sergei_alexandrov@yahoo.com
Russian Academy of Sciences
, 101-1 Prospect Vernadskogo, Moscow 119526, Russia
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Ken-Ichi Manabe,
Ken-Ichi Manabe
Department of Mechanical Engineering,
e-mail: manabe@tmu.ac.jp
Tokyo Metropolitan University
, 1-1 Minamiosawa, Hachioji-shi, Tokyo 192-0397, Japan
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Tsuyoshi Furushima
Tsuyoshi Furushima
Department of Mechanical Engineering,
e-mail: furushima-tsuyoshi@tmu.ac.jp
Tokyo Metropolitan University
, 1-1 Minamiosawa, Hachioji-shi, Tokyo 192-0397, Japan
Search for other works by this author on:
Sergei Alexandrov
A. Yu. Ishlinsky Institute for Problems in Mechanics,
Russian Academy of Sciences
, 101-1 Prospect Vernadskogo, Moscow 119526, Russiae-mail: sergei_alexandrov@yahoo.com
Ken-Ichi Manabe
Department of Mechanical Engineering,
Tokyo Metropolitan University
, 1-1 Minamiosawa, Hachioji-shi, Tokyo 192-0397, Japane-mail: manabe@tmu.ac.jp
Tsuyoshi Furushima
Department of Mechanical Engineering,
Tokyo Metropolitan University
, 1-1 Minamiosawa, Hachioji-shi, Tokyo 192-0397, Japane-mail: furushima-tsuyoshi@tmu.ac.jp
J. Manuf. Sci. Eng. Feb 2011, 133(1): 014503 (5 pages)
Published Online: February 8, 2011
Article history
Received:
May 12, 2010
Revised:
January 11, 2011
Online:
February 8, 2011
Published:
February 8, 2011
Citation
Alexandrov, S., Manabe, K., and Furushima, T. (February 8, 2011). "A New Empirical Relation for Free Surface Roughening." ASME. J. Manuf. Sci. Eng. February 2011; 133(1): 014503. https://doi.org/10.1115/1.4003477
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