Abstract
Expressions for the evaluation of the transverse and longitudinal elastic moduli and the major Poisson ratio of unidirectional fiber composites are derived. The model described is based on the correct version of Kerner's model, which in our case is conveniently modified by introducing a mesophase layer between the fiber and the matrix in the representative volume element surrounding the typical fiber. The expression for the longitudinal elastic modulus derived in this paper, and the law of mixtures already presented in previous papers, give concordant results. Therefore, the law of mixtures, taking the mesophase also into account, and the two-term unfolding model for the mesophase are used for the evaluation of its extent and its properties. The model was applied to a glass filament-epoxy resin composite and its predictions were found to be in good agreement with the experimental data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Jones RM (1975) Mechanics of Composite Materials, McGraw-Hill Kogakusha Ltd, p 85
Chamis CC, Sendeckyj GP (1968) J Comp Materials 2(3):332
Christensen RM (1979) Mechanics of Composite Materials, John Wiley and Sons, New York
Christensen RM, Lo KH (1979) J Mech Phys Sol 27:315
Van der Poel C (1958) Rheol Acta 1:198
Smith JC (1974) J Res Natl Bur Stand 78A:355
Smith JC (1975) J Res Natl Bur Stand 79A:419
Kerner EH (1956) Proc Phys Soc London 69B:808
Hermans JJ (1967) Proc Konigl Neder Akad van Weteschappen Amsterdam 70B(1):1
Hashin Z, Rosen BW (1964) J Appl Mech 31:223
Whitney JM, Riley MB (1966) AIAA Journal 4(9):1537
Papanicolaou GC, Paipetis SA, Theocaris PS (1978) Coll & Polym Sci 256:625
Theocaris PS (1984) Coll & Polym Sci 262:929
Theocaris PS (1984) J Reinfor Plastics and Comp 3(3):204
Theocaris PS (1985) Kausch HH, Zachmann HG(eds) New Development in the Characterization of Polymer in the Solid State, Advances in Polymer Science, Vol 66, chap 6, Springer-Verlag, New York, p 149
Theocaris PS, Varias AG (1985) J Appl Polym Sci 30:2979
Timoshenko SP, Goodier JN (1982) Theory of Elasticity, McGraw-Hill Book Company Japan Ltd, p 65
Lekhnitskii SG (1981) Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow
Hill R (1964) J Mech Phys Sol 12:199
Abolin'sh DS (1965) Mekhanika Polimerov 1(4):52
Theocaris PS, Philippidis TP (1985) J Reinfor Plastics and Comp 4(2):173
Ni RG, Adams RD (1984) Composites 15(3):193
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Theocaris, P.S., Varias, A.G. The influence of the mesophase on the transverse and longitudinal moduli and the major poisson ratio in fibrous composites. Colloid & Polymer Sci 264, 561–569 (1986). https://doi.org/10.1007/BF01412593
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01412593