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Phenomenological Modelling of Damage in Polymer Blends

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Topics in Applied Mechanics

Summary

To describe the constitutive behaviour of a certain class of polymer blends an elasto-perfectly-viscoplastic and creep damageable material characterization is proposed. For a composite of 80% Polystyrene and 20% Ethylene Propylene Diene Monomer rubber (PS/EPDM) the specific parameters are determined from tensile tests in a particular range of strain velocities. To investigate the applicability of the model, the results of a finite element analysis for a laterally loaded thin plate (plane stress) with a circular hole are compared to measurements. Numerically calculated values are in reasonable agreement with reality; discrepancies can be ascribed to noise in experimental data. The finite element approach is evaluated with respect to the occurrence of mesh-dependence. Mesh-refinement shows convergence of solutions, attributable to the stabilizing influence of the viscous contribution in the constitutive equations.

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References

  • Kachanov, L.M. (1986) Introduction to Continuum Damage Mechanics. Martinus Nijhoff Publishers, Dordrecht.

    Book  MATH  Google Scholar 

  • Lemaitre, J. and Chaboche, J.-L. (1990) Mechanics of Solid Materials. Cambridge University Press, Cambridge.

    Book  MATH  Google Scholar 

  • Marquis, D. (1989) Evaluation of material damage due to thermomechanical strain cycles. Engineering Application of Modern Plasticity. Short course of the Second International Symposium of Plasticity, Nagoya, Japan, 1–14.

    Google Scholar 

  • Needleman, A. (1988) Material rate dependence and mesh sensitivity in localization problems. Comp. Meth. Appl. Mech. Engng., 67, 6S–S5.

    Article  Google Scholar 

  • Perzyna, P. (1971) Thermodynamic theory of viscoplasticity. Advances in Applied Mechanics, 11. Academic Press, New York.

    Google Scholar 

  • Simo, J.C. (1988) Strain softening and dissipation: a unification of approaches. Cracking and Damage, Strain Localization and Size Effects, J. Mazars and Z.P. Bazant eds., 440–461. Elsevier Applied Science, London.

    Google Scholar 

  • Zamzow, H. (1990) The Hentschel random access tracking system HSG 84.30. Proceedings of the Symposium on Image Based Motion Measurement, La Jolla, California, USA, J.S. Walton ed., Proceedings of the SPIE (Society of Photo-Optical Instrumentation Engineers) 1356, 130–133.

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© 1993 Springer Science+Business Media Dordrecht

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Timmermans, P.H.M., Brekelmans, W.A.M., De Vree, J.H.P. (1993). Phenomenological Modelling of Damage in Polymer Blends. In: Dijksman, J.F., Nieuwstadt, F.T.M. (eds) Topics in Applied Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2090-6_15

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  • DOI: https://doi.org/10.1007/978-94-011-2090-6_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4926-9

  • Online ISBN: 978-94-011-2090-6

  • eBook Packages: Springer Book Archive

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