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Determination of shear creep compliance of linear viscoelastic solids by instrumented indentation when the contact area has a single maximum

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Abstract

Lee and Radok [J. Appl. Mech.27, 438 (1960)] derived the solution for the indentation of a smooth rigid indenter on a linear viscoelastic half-space. They had pointed out that their solution was valid only for regimes where contact area did not decrease with time. In this article, a large number of finite element simulations and one typical experiment demonstrate that Lee-Radok solution is approximately valid for the case of reducing contact area. Based on this finding, three semiempirical methods, i.e., Step-Ramp method, Ramp-Ramp method and Sine-Sine method, are proposed for determination of shear creep compliance using the data of both loading and unloading segments. The reliability of these methods is acceptable within certain tolerance.

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Acknowledgments

The authors would like to thank Prof. Y-T. Cheng for helpful discussion. The support from NSF of China (Project No. 11025212, 10872200, 11172305, 11021262) is also gratefully acknowledged.

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Authors and Affiliations

  1. State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    Guangjian Peng, Taihua Zhang, Yihui Feng & Rong Yang

  2. Graduate University of Chinese Academy of Sciences, Beijing, 100049, China

    Guangjian Peng

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  1. Guangjian Peng
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  2. Taihua Zhang
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  3. Yihui Feng
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  4. Rong Yang
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Correspondence to Taihua Zhang.

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Peng, G., Zhang, T., Feng, Y. et al. Determination of shear creep compliance of linear viscoelastic solids by instrumented indentation when the contact area has a single maximum. Journal of Materials Research 27, 1565–1572 (2012). https://doi.org/10.1557/jmr.2012.120

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  • DOI: https://doi.org/10.1557/jmr.2012.120

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