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Indentation of PU at different scales and computational modeling: identification of viscoelasticity and quantification of adhesion effects

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Abstract

In the present study, nanoindentation and macroindentation tests are performed on a soft polymer: polyurethane (PU). Strong viscoelasticity is represented by the force-displacement data on both scales. A finite element method based on an inverse procedure is employed to identify the nonlinear viscoelasticity of PU. An appropriate viscoelastic model is chosen, and the corresponding parameters are identified by matching the experimental responses with the predictions of the computational model. At the very beginning, the uniaxial tensile test, which has a homogeneous deformation, is used to prove the isotropic properties and incompressibility of PU and to identify the viscoelasticity as a reference and verification source. The comparison between the identified results from nanoindentation and macroindentation allows to quantifying the adhesion effects in nanoindentation. The quantification is treated with a traction–separation relationship incorporated into the numerical adhesive contact model. Comparable strain rates in the macro-, nanoindentation and uniaxial tensile tests are considered to identify the viscoelasticity.

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Notes

  1. The samples’ preparation by the Chair for Adhesion and Interphases in Polymers at Saarland University is gratefully acknowledged.

  2. The nanoindentation experiments were performed using the device of the chair of material science and methodology at Saarland University under the direction of Prof. H. Vehoff.

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Acknowledgments

The authors are grateful to the DFG (German Science Foundation—Deutsche Forschungsgemeinschaft) for financial support through the Grant number Di 430/14. The work of the student research assistant Martin Müller at the Chair of Applied Mechanics, Univ. Saarland is appreciated. The authors thank Dipl.-Ing. M. Zamanzade at the Chair of Material Science and Methodology at Saarland University and B.Sc N. Peter and Dr. A. Schneider in the Leibniz Institute for New Materials (INM), Saarland University for useful discussion during the indentation experiments as well as Dipl.-Ing. L. Krogh at the Chair for Adhesion and Interphases in Polymers at Saarland University for supplying the specimens.

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  1. Chair of Applied Mechanics, Saarland University, Saarbrücken, Germany

    Zhaoyu Chen & Stefan Diebels

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  1. Zhaoyu Chen
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Correspondence to Zhaoyu Chen.

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Chen, Z., Diebels, S. Indentation of PU at different scales and computational modeling: identification of viscoelasticity and quantification of adhesion effects. Arch Appl Mech 85, 1225–1243 (2015). https://doi.org/10.1007/s00419-015-1008-5

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