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On the Correlation Between Residual Stresses and Global Indentation Quantities: Equi-Biaxial Stress Field

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Abstract

Sharp indentation test have been studied very frequently in recent years and the fundamental knowledge of the mechanics of such test has reached some maturity. Such studies also include the correlation between residual stresses and the global properties, i.e., hardness and size of the contact area. The investigations presented have been based on experimental, theoretical, and numerical methods and as a result, the basic features of the problem are fairly well understood but quantitative relations, for the determination of residual stresses using sharp indentation, have been proven to be less accurate and accordingly not suitable for a practical situation, in particular so at predominantly compressive residual stresses. It is therefore the aim of the present study to investigate this matter in some detail and to determine possible mechanisms for the difference in indentation behavior between tension and compression and, with this as a background, determine relations suitable for a quantitative determination of the residual fields. The present analysis is based on theoretical and numerical methods and in the latter case, the finite element method is relied upon. Classical Mises elastoplastic material behavior is assumed throughout the investigation.

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Authors and Affiliations

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

    Per-Lennart Larsson

  2. Volvo Aero Corporation, 46181, Trollhättan, Sweden

    Andreas Rydin

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  1. Andreas Rydin
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  2. Per-Lennart Larsson
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Correspondence to Per-Lennart Larsson.

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Rydin, A., Larsson, PL. On the Correlation Between Residual Stresses and Global Indentation Quantities: Equi-Biaxial Stress Field. Tribol Lett 47, 31–42 (2012). https://doi.org/10.1007/s11249-012-9959-y

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  • DOI: https://doi.org/10.1007/s11249-012-9959-y

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