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General deformation modes of a van der Waals network

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Permanent and Transient Networks

Part of the book series: Progress in Colloid & Polymer Science ((PROGCOLLOID,volume 75))

Abstract

It is shown how multiaxial deformation modes can be described with the aid of a generalized van der Waals network model. By introducing the modified invariant J=βI1 + (1 −β)I2 the resulting van der Waals strain energy function allows in the case of biaxial homogeneous deformation to derive a set of equations of state. The calculated normal forces can be fitted to uniaxial elongation and compression experiments on the one hand and to data of general biaxial deformation modes on the other hand up to largest measures of strain.

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References

  1. Adkins JE, Green AE (eds) (1970) Large Elastic Deformation, 2nd ed, Clarendon Press, Oxford

    Google Scholar 

  2. Truesdell CA (ed) (1966) The elements of continuum mechanics, Springer, Berlin

    Google Scholar 

  3. Kuhn W (1936) Kolloid Z 76, 3:258

    Article  Google Scholar 

  4. Kuhn W, Grün F (1942) Kolloid Z 101:248

    Article  CAS  Google Scholar 

  5. Kilian H-G (1981) Polymer 22:209

    Article  CAS  Google Scholar 

  6. James HM, Guth E (1947) J Chem Phys 15:669

    Article  CAS  Google Scholar 

  7. Vilgis Th (1984) Ph D Thesis, University of Ulm

    Google Scholar 

  8. Flory PJ (ed) (1953) Principles of Polymer Chemistry, Cornell, Ithaka

    Google Scholar 

  9. Treloar LRG (ed) (1975) The Physics of Rubber Elasticity, 3 rd ed, Clarendon Press, Oxford

    Google Scholar 

  10. Smith TL, Dickie RA (1969) J Polym Sci A2 7:635

    Article  CAS  Google Scholar 

  11. Rivlin RS (1948) Phil Trans R Soc A241:379

    Google Scholar 

  12. Truesdell CA, Toupin RA (eds) (1966) The Classical Field Theories, Handbuch der Physik III/1, Springer Berlin

    Google Scholar 

  13. Vilgis Th, Kilian H-G (1986) Coll & Polym Sci 264:137

    Article  CAS  Google Scholar 

  14. Kilian H-G, Schenk H, Wolff W (19??) to be published

    Google Scholar 

  15. Larson RG, Monroe K (1984) Rheol Acta 23:10

    Article  CAS  Google Scholar 

  16. Kilian H-G, Vilgis Th, Enderle HF (1984) Coll & Polym Sci 262:696

    Article  Google Scholar 

  17. Flory PJ (1985) Polym J 17:1

    Article  CAS  Google Scholar 

  18. Kilian H-G, Unseld K, Enderle HF (1986) Coll & Polym Sci 264:866

    Article  CAS  Google Scholar 

  19. Dusek K, Prins W (1969) Adv Polym Sci 6:1–102

    Article  CAS  Google Scholar 

  20. Rivlin RS, Saunders DW (1951) Phil Trans R Soc A243:251

    Google Scholar 

  21. Kawabata S (1973) J Macromol SciB8 3:605

    Article  Google Scholar 

  22. Kawabata S, Matsuda M, Tei K, Kawai H (1981) Macromolecules 14:154

    Article  CAS  Google Scholar 

  23. Pak H, Flory PJ (1979)J Polym Sci Polym Phys Ed 17:1845

    Article  CAS  Google Scholar 

  24. Pietralla M (1982) Habilitationsschrift, Ulm

    Google Scholar 

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© 1987 Dr. Dietrich Steinkopff Verlag GmbH & Co. KG

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Enderle, H.F., Kilian, H.G. (1987). General deformation modes of a van der Waals network. In: Permanent and Transient Networks. Progress in Colloid & Polymer Science, vol 75. Steinkopff. https://doi.org/10.1007/BFb0109409

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  • DOI: https://doi.org/10.1007/BFb0109409

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  • Publisher Name: Steinkopff

  • Print ISBN: 978-3-7985-0725-8

  • Online ISBN: 978-3-7985-1696-0

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