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On the Appropriate Use of Representative Stress Quantities at Correlation of Spherical Contact Problems

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Abstract

Correlation of contact problems is discussed in a detailed manner with focus on spherical contact. The finite element method is used to determine appropriate stress quantities, representative stresses, aiming at a general description of contact quantities such as mean contact pressure, and the size of the contact area. It is shown that the mean contact pressure can be well described by a single master curve, while this is not so for the size of the contact area. The latter feature is explained partly by a pronounced effect from elastic deformation, but is also shown that large deformation effects can have a substantial influence on correlation attempts. The analysis is restricted to classical Mises elastoplasticity, but the results can also serve as a guideline for similar attempts when using more advanced constitutive modeling. An obvious application of the present results concerns material characterization by indentation testing.

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  1. Department of Solid Mechanics, Royal Institute of Technology, 10044, Stockholm, Sweden

    Erik Olsson & Per-Lennart Larsson

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  1. Erik Olsson
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  2. Per-Lennart Larsson
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Correspondence to Per-Lennart Larsson.

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Olsson, E., Larsson, PL. On the Appropriate Use of Representative Stress Quantities at Correlation of Spherical Contact Problems. Tribol Lett 50, 221–232 (2013). https://doi.org/10.1007/s11249-013-0114-1

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