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On the Size Effects in Indentation Testing of Elastic Functionally-graded Materials

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New Achievements in Continuum Mechanics and Thermodynamics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 108))

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Abstract

The size effect in the small-scale indentation testing is studied for a functionally-graded material (FGM) whose shear elastic modulus varies according to the exponential law. Under the simplifying assumption of zero Poisson’s ratio, the asymptotic model of the indentation stiffness for an axisymmetric frictionless indenter is developed in the case when the contact radius is small compared to the inhomogeneity characteristic size. The so-called sample size effect is considered on the example of a simply supported FGM plate indented at the center of its top surface. A certain range of applicability of the first-order asymptotic models has been established by comparison with the approximate analytical solution available in the literature.

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Authors and Affiliations

  1. Department of Materials Science and Applied Mathematics, Malmö University, SE-205 06, Malmö, Sweden

    Ivan Argatov

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  1. Ivan Argatov
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Correspondence to Ivan Argatov .

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Editors and Affiliations

  1. Institute of Mechanics, Technische Universität Berlin, Berlin, Germany

    Bilen Emek Abali

  2. Institut für Mechanik, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany

    Holm Altenbach

  3. Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma “La Sapienza”, Roma, Italy

    Francesco dell'Isola

  4. Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Gdansk, Poland

    Victor A. Eremeyev

  5. Fakultät Maschinenbau, Esslingen University of Applied Sciences, Esslingen, Germany

    Andreas Öchsner

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Argatov, I. (2019). On the Size Effects in Indentation Testing of Elastic Functionally-graded Materials. In: Abali, B., Altenbach, H., dell'Isola, F., Eremeyev, V., Öchsner, A. (eds) New Achievements in Continuum Mechanics and Thermodynamics. Advanced Structured Materials, vol 108. Springer, Cham. https://doi.org/10.1007/978-3-030-13307-8_2

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  • DOI: https://doi.org/10.1007/978-3-030-13307-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-13306-1

  • Online ISBN: 978-3-030-13307-8

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