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The strain-rate sensitivity of the hardness in indentation creep

Published online by Cambridge University Press:  03 March 2011

A.A. Elmustafa*
Department of Mechanical Engineering, Old Dominion University, Norfolk, Virginia 23529; and Applied Research Center, Old Dominion University, Jefferson Laboratory, Newport News, Virginia 23606
S. Kose
Department of Civil and Environmental Engineering, University of Wisconsin—Madison, Madison, Wisconsin 53706
D.S. Stone
Department of Materials Science and Engineering, University of Wisconsin—Madison, Madison, Wisconsin 53706
a) Address all correspondence to this author. e-mail:
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Finite element analysis is used to simulate indentation creep experiments with a cone-shaped indenter. The purpose of the work is to help identify the relationship between the strain-rate sensitivity of the hardness, νH, and that of the flow stress, νσ in materials for which elastic deformations are significant. In general, νH differs from νσ, but the ratio νHσ is found to be a unique function of H/E* where H is the hardness and E* is the modulus relevant to Hertzian contact. νHσ approaches 1 for small H/E*, 0 for large H/E*, and is insensitive to work hardening. The trend in νHσ as a function of H/E* can be explained based on a generalized analysis of Tabor’s relation in which hardness is proportional to the flow stress H = k × σeff and in which the proportionality factor k is a function of σeff/E*.

Copyright © Materials Research Society 2007

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