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Determining the Modulus of Elasticity for Polymer Materials by Numerical Testing Thin-Walled Double-Layer Circular Shells

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Shell and Membrane Theories in Mechanics and Biology

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 45))

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Abstract

The paper describes the method of determining the elasticity modulus of the external layer of the double-layer circular shell consisting of multiple layers with various elasticity modules. The internal layer is produced of the material, which elasticity module is known to experimenters. The outer layer is made of a softer material with unknown elasticity modulus. The method is based on the numerical solution of the nonlinear contact task of compressing the single-layer circular shell, which has been modified to provide solution for the double-layer circular shell. As a result of the research the ratios were obtained, which allow to determine the elasticity module of the external layer given the known value of elasticity module of the internal layer. The method is useful for testing the time and external factors dependant properties of the materials.

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References

  1. Abdel-Bary, E. (ed.): Handbook of Plastic Films. Smithers Rapra Technology, Shawbury (2003)

    Google Scholar 

  2. Briston, J.: Plastics films, 2nd edn. Longman Scientific, Harlow (Essex) (1986)

    Google Scholar 

  3. Galimov, N., Yakupov, N., Yakupov, S.: Experimental-theoretical method for determining mechanical characteristics of spherical films and membranes of complex structure. Mech. Solids 46(3), 380–386 (2011)

    Article  Google Scholar 

  4. Gluhih, S., Kovalov, A., Tishkunov, A., Akishin, A., Chate, A., Auzins, E., Kalnins, M.: Identification of the elastic modulus of polymeric materials by using thin-walled cylindrical specimens. Mech. Compos. Mater. 48(1), 57–64 (2012)

    Article  Google Scholar 

  5. Knoll, W., Advincula, R.: Functional Polymer Films, vol. 1 and 2. Wiley, Weinheim (2011)

    Book  Google Scholar 

  6. Kovalovs, A., Gluhih, S., Chate, A.: Young’s modulus identification by using cylindrical specimens. Key Eng. Mater. 559, 75–79 (2013)

    Article  Google Scholar 

  7. Kutz, M. (ed.): Handbook of Materials Selection. Wiley, New York (2002)

    Google Scholar 

  8. Lavendel, E., Dirba, D.: Problems of dynamics and strength (in Russ. ) 20, 195–200 (1970)

    Google Scholar 

  9. Lellinger, D., Tadjbach, S., Alig, I.: Determination of the elastic moduli of polymer films by a new ultrasonic reflection method. Macromol. Symp. 184, 203–213 (2002)

    Article  Google Scholar 

  10. Ohtsuki, A.: An innovative measuring method of young’s modulus using postbuckling behavior. In: Tandon, G., Tekalur, S., Carter, R., Sottos, N., Blaiszik, B. (eds.) Experimental Mechanics of Composite, Hybrid, and Multifunctional Materials. Conference proceedings of the society for experimental mechanics series, vol. 6, pp. 247–254. Springer International Publishing, New York (2014)

    Chapter  Google Scholar 

  11. Rikards, R.: Elaboration of optimal design models for objects from data of experiments. In: Pedersen, p (ed.) Optimal Design with Advanced Materials, pp. 149–162. Elsevier, Oxford (1993)

    Chapter  Google Scholar 

  12. Rikards, R., Bledzki, A.K., Eglajs, V., Chate, A., Kurek, K.: Elaboration of optimal design models for composite materials from data of the experiments. Mekhanika Kompozitnykh Materialov 4, 435–445 (1992)

    Google Scholar 

  13. Yakupov, N., Nurullin, R., Yakupov, S.: Mechanical properties of thin films and nanofilms. Russ. Eng. Res. 26(6), 571–574 (2009)

    Article  Google Scholar 

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Acknowledgments

This study was financially supported by the Latvian Ministry of Education and Science according to Contract No. V7909.1.

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Correspondence to Sergej Gluhih .

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Gluhih, S., Kovalovs, A., Chate, A. (2015). Determining the Modulus of Elasticity for Polymer Materials by Numerical Testing Thin-Walled Double-Layer Circular Shells. In: Altenbach, H., Mikhasev, G. (eds) Shell and Membrane Theories in Mechanics and Biology. Advanced Structured Materials, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-319-02535-3_12

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  • DOI: https://doi.org/10.1007/978-3-319-02535-3_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02534-6

  • Online ISBN: 978-3-319-02535-3

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