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About the Modeling of the Indentation of a Virus Shell: The Role of the Shape of the Probe

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Abstract

This article studies the effect of the geometry of the probe on the nanoindentation of a virus. Theoretical continuum models and numerical simulations are presented for two different probes with different shapes, namely cylindrical probes with a spherical end and cylindrical probes with a flat end. The finite element method is used and the numerical results show that the use of the probe with a spherical end reflects more nonlinearity, probably due to the Hertz effect.

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Acknowledgements

This research was supported in part by the National Science Foundation under the Grants NSF-DMS-1510249, by the Research Fund of Indiana University. The authors thank Pierre Suquet for introducing them to the Hertz effect, and Bogdan Dragnea for many useful discussions.

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Authors and Affiliations

  1. Department of Mathematics and Institute for Scientific Computing and Applied Mathematics, Indiana University, Rawles Hall, 831 East 3rd St, Bloomington, IN, 47405-5701, USA

    Yifeng Hou & Roger Temam

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  1. Yifeng Hou
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  2. Roger Temam
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Correspondence to Roger Temam.

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This article is dedicated to Chi-Wang Shu on the occasion of his 60th birthday, with friendship and much appreciation for his scientific contributions and for his services to the community.

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Hou, Y., Temam, R. About the Modeling of the Indentation of a Virus Shell: The Role of the Shape of the Probe. J Sci Comput 73, 783–796 (2017). https://doi.org/10.1007/s10915-017-0481-0

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  • DOI: https://doi.org/10.1007/s10915-017-0481-0

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