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The exact shear modulus of particulates based on the concept of mesophase

  • Polymer Science
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Abstract

An accurate relationship for the shear modulus of particulates is derived based on the Kerner model, but not using its approximate relations. Furthermore, the model takes into account the existence of the mesophase layer between the inclusions and the matrix, which acts as a smooth transition boundary layer between constituent materials. By applying Christensen's field to the Kerner model, modified by introducing the mesophase, the new model is liberated from any inconsistencies. Experimental evidence and application to a glass particle-epoxy resin-matrix composite indicated the superiority of the model over previous ones.

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References

  1. Kerner EH (1956) Proc Phys Soc London 69B:808

    Google Scholar 

  2. Theocaris PS (1984) J Reinf Plast and Comp 3:204

    Google Scholar 

  3. Theocaris PS, Varias A (1985) J Appl Polym Sci 30:2979

    Google Scholar 

  4. Theocaris PS (1987) Coll Polym Sci 265:461

    Google Scholar 

  5. Christensen RM (1979) Mechanics of Composte Materials. John Wiley and Sons, New York

    Google Scholar 

  6. Christensen RM, Lo KH (1979) J Mech Phys Sol 27:315

    Google Scholar 

  7. Chamis CC, Sendeckyi GP (1968) J Comp Mat 2(3):332

    Google Scholar 

  8. Theocaris PS, Varias A (1986) Coll Poly Sci 264(7):561

    Google Scholar 

  9. Theocaris PS, Varias A (1987) Rheol Acta 26(2):182

    Google Scholar 

  10. Theocaris PS, Varias A (1987) Rheol Acta 26(4):322

    Google Scholar 

  11. Theocaris PS (1984) J Rein Plasts Comp 3(3):204

    Google Scholar 

  12. Theocaris PS, Varias A (1985) J Appl Poly Sci 30 (7):2979

    Google Scholar 

  13. Sokolnikoff IS (1956) Mathematical Theory of Elasticity, McGraw Hill, New York, 2nd edn., Chap 48

    Google Scholar 

  14. Van der Poel C (1958) Rheologica Acta 1:198

    Google Scholar 

  15. Smith JC (1974) Res Nat Bur Stand 78A:355

    Google Scholar 

  16. Smith JC (1975) Res Nat Bur Stand 79A:419

    Google Scholar 

  17. Theocaris PS (1987) The Mesophase Concept in Composites, Springer, Berlin, Heidelberg New York

    Google Scholar 

  18. Theocaris PS (1987) Colloid Polym Sci 265:461

    Google Scholar 

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Theocaris, P.S. The exact shear modulus of particulates based on the concept of mesophase. Colloid & Polymer Sci 268, 1118–1130 (1990). https://doi.org/10.1007/BF01410677

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  • DOI: https://doi.org/10.1007/BF01410677

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