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Elastic property determination of nanostructured W/Cu multilayer films on a flexible substrate

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Abstract

An experimental method for a single layer is extended to determine the elastic properties of nanostructured W/Cu multilayers on a flexible substrate. The strain difference between the W/Cu-polyimide-W/Cu composite and the uncoated substrate, measured by dual digital image correlation, allows us to extract the effective Young’s modulus of W/Cu multilayers (20 periods) equaling \(216 \pm 13\hbox { GPa}\). Finite element method is then performed, which agrees well with the experiment and classical rule of mixture (ROM) theory demonstrating that the extension to multilayers is effective and reliable. The numerical analysis also interestingly shows that the strain difference is linearly related to the thickness ratio (W/Cu), periods and sublayer thickness, respectively. In contrast to ROM theory, this approach could potentially be used for the evaluation of properties and design of emerging/unknown functional multilayers, whether or not they are crystalline or amorphous.

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Acknowledgements

This research is financially supported by the National Natural Science Foundation of China (Grant 11802156), China Postdoctoral Science Foundation (Grant 2018M641331), and French Government Program “Investissements d’Avenir” (Labex Interactifs, Grant ANR-11-LABX-0017-01).

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, 300350, China

    Wei He & Shibin Wang

  2. AML, School of Aerospace Engineering, Tsinghua University, Beijing, 100084, China

    Wei He

  3. School of Aircraft Engineering, Nanchang Hangkong University, Nanchang, 330063, China

    Meidong Han

  4. Department of Physics and Mechanics of Materials, Institute Pprime, CNRS, Poitiers University, Futuroscope, 86962, France

    Philippe Goudeau, Eric Le Bourhis & Pierre Olivier Renault

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  1. Wei He
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  2. Meidong Han
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  3. Shibin Wang
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  4. Philippe Goudeau
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  5. Eric Le Bourhis
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  6. Pierre Olivier Renault
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Correspondence to Meidong Han or Shibin Wang.

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He, W., Han, M., Wang, S. et al. Elastic property determination of nanostructured W/Cu multilayer films on a flexible substrate. Acta Mech. Sin. 35, 1210–1216 (2019). https://doi.org/10.1007/s10409-019-00885-8

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  • DOI: https://doi.org/10.1007/s10409-019-00885-8

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