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New Thermo-Mechanical Modelling for Visco Elastic, Visco Plastic Polymers

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Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2

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Abstract

A 3D Visco hyperelastic model is discussed and validated using a rich and rigorous data base obtained on PMMA above Tg. Inelastic phenomena are accounted for as an evolution of internal variables assumed to be related to entanglements. Inelastic strain-rate is deduced from energy balance between elastic and dissipative phenomenon. The concept allowing introducing time effects in any rubber elasticity theory, is used with Edward-Vilgis’ model. Extended model allows reproducing most of the visco-elastic phenomena in polymer: strain rate dependence, hysteretic effects and relaxation. An accounting for temperature and strain-rate by an “a priori” uses of time temperature superposition principle is also proposed. The three concepts result in an original and attractive model of high efficiency. This is demonstrated in the case of PMMA.

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Acknowledgements

This work was conducted thanks to The European Commission and its support under the Framework 6 Program via the Apt-Pack strep project (STREP 505204-1).

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Authors and Affiliations

  1. Mines-ParisTech, CEMEF, UMR 7635, 207, 06904, Sophia Antipolis cedex, France

    Noëlle Billon

Authors
  1. Noëlle Billon
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Correspondence to Noëlle Billon .

Editor information

Editors and Affiliations

  1. Sandia National Laboratories, Livermore, 94550, USA

    Bonnie Antoun

  2. University of Colorado, Boulder, 80309-0430, USA

    H. Jerry Qi

  3. AirForce Research Laboratory, Wright-Patterson Air Force Base, 45433, USA

    Richard Hall

  4. University of Dayton Research Institute, Dayton, 45469-0101, USA

    G.P. Tandon

  5. University of Texas-Dallas, Dallas, 75080, USA

    Hongbing Lu

  6. University of Kentucky, Paducah, 42002, USA

    Charles Lu

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© 2013 The Society for Experimental Mechanics

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Billon, N. (2013). New Thermo-Mechanical Modelling for Visco Elastic, Visco Plastic Polymers. In: Antoun, B., Qi, H., Hall, R., Tandon, G., Lu, H., Lu, C. (eds) Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4241-7_11

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  • DOI: https://doi.org/10.1007/978-1-4614-4241-7_11

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-4240-0

  • Online ISBN: 978-1-4614-4241-7

  • eBook Packages: EngineeringEngineering (R0)

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