Abstract
A description is given of a new method for the measurement, using a single specimen, of the bulk, shear, and Young's moduli, and the thermal expansion coefficient of solid polymers. The method has been used to measure the bulk and shear moduli and expansion coefficient of a glass bead-filled epoxy resin over a particle concentration range of 0 to 40% volume. Results are compared with the theoretical predictions of Hill, Hashin and Shtrikman, Paul and others. In the glassy region the experimental data agree well with the Hashin and Shtrikman lower bound, but aboveT g the material is reinforced much more than suggested by these theories. Some evidence is given for a difference in glass transition temperature between filled and unfilled materials.
Similar content being viewed by others
References
A. Einstein,Ann. der Phys. 19 (1906) 289. English translation in “Investigations on the theory of Brownian motion” (Dover Publications, New York, 1956).
L. E. Neilsen,J. Comp. Mats. 1 (1967) 100.
D. A. G. Bruggemann,Phys. Z. 37 (1936) 906.
Idem, Ann. der Phys. 29 (1937) 160.
E. H. Kerner,Proc. Phys. Soc. B69 (1956) 808.
C. Van Der Poel,Rheol. Acta. 1 (1958) 198.
R. Hill,J. Mech. Phys. Solids 13 (1965) 213.
B. Budiansky,J. Comp. Mats. 4 (1970) 286.
B. Paul,Trans. AIME,218 (1960) 36.
Z. Hashin andS. Shtrikman,J. Mech. Phys. Solids 11 (1963) 127.
L. J. Walpole,ibid 14 (1966) 151, 289.
P. S. Turner,J. Res. NBS 37 (1946) 239.
R. A. Schapery,J. Comp. Mats. 2 (1968) 380.
N. Laws,J. Mech. Phys. Solids 21 (1973) 9.
J. H. Speake, R. G. C. Arridge andG. J. Curtis,J. Phys. D 7 (1974) 412.
T. B. Lewis andL. E. Nielsen,J. App. Polymer Sci. 14 (1970) 1449.
J. Kolařík, J. Janáček andL. Nicolais,ibid 20 (1976) 841.
K. L. Trachte andA. T. Dibenedetto,Int. J. Polymeric Mat. 1 (1971) 75.
O. Ishai andL. J. Cohen,Int. J. Mech. Sci. 9 (1967) 539.
J. C. Smith,Polymer Eng. Sci. 16 (1976) 394.
T. G. Richard,J. Comp. Mat. 9 (1975) 108.
L. Nicolais andL. Nicodemo,Int. J. Polymeric Mat. 4 (1974) 229.
R. E. Lavengood, L. Nicolais andM. Narkis,J. App. Polymer Sci. 17 (1973) 1173.
L. Nicolais, E. Drioli andR. F. Landel,Polymer 14 (1973) 21.
D. Acierno, L. Nicolais, V. Vojta andJ. Janáček,J. Polymer Sci A-2 13 (1975) 703.
C. W. Van Der Wal, H. W. Bree andF. R. Schwarzl,J. App. Polymer Sci 9 (1965) 2143.
R. J. Crowson, Ph. D. Thesis, Bristol (1977).
I. L. Hopkins andR. W. Hamming,J. App. Phys. 28 (1975) 906.
A. Mallock,Proc. Roy. Soc. A74 (1904) 50.
R. G. C. Arridge,J. Phys. E 7 (1974) 399.
R. E. Lowrie, in “Modern Composite Materials”, edited by L. J. Broutman and R. H. Krock, (Addison Wesley, Reading, Mass., 1967) p. 281.
J. Ritter, 25th Annual Tech. Conf. (1970), Reinf. Plast./Composites Divn, Soc. Plast. Indust., §8-A, p. 1.
R. G. C. Arridge,D. Mat. Report No. 178 (1972).
L. E. Nielson andT. B. Lewis,J. Polymer Sci. A-2 7 (1969) 1705.
R. A. Duckett andS. H. Joseph,Polymer 17 (1976) 329.
S. Rabinowitz, I. M. Ward andJ. S. C. Parry,J. Mater. Sci 5 (1970) 29.
E. Jones Parry andD. Tabor,ibid 9 (1974) 289.
A. A. Silano, K. D. Pae andJ. A. Sauer, 3rd International conference on “Deformation, Yield, and Fracture of Polymers”, Cambridge (1976).
J. D. Ferry andR. Stratton,Kolloid-Z. 171 (1960), 107.
S. S. Sternstein andT. C. Ho,J. App. Phys. 43 (1972) 4370.
F. R. Schwarzl, H. W. Bree, C. J. Nederveen, G. A. Schwippert, L. C. E. Struik andC. W. Van Der Wal,Rheol. Acta. 5 (1966) 270.
L. Nicolais, R. F. Landel, P. Giordanoorsini,Polymer J. 7 (1975) 259.
D. Droste andA. T. Dibenedetto,J. App. Polymer Sci. 13 (1969) 2149.
R. F. Landel andT. L. Smith,J. Amer. Rocket Soc. 31 (1961) 599.
L. E. Nielsen, R. A. Wall andP. G. Richmond,SPEJ 11 (1955) 22.
L. E. Nielsen,J. Polymer Sci. C 12 (1969) 249.
K. Iisaka, andK. Shibayama,J. App. Polymer Sci. 20 (1976) 813.
Yu. S. Lipatov, V. F. Babich andV. F. Rosovizky,ibid 20 (1976) 1787.
M. W. Darlington, P. L. McGinley andG. R. Smith, Plastics and Rubbers: Materials and Applications,2 (1977).
H. Alter,J. App. Polymer Sci. 9 (1965) 1525.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Crowson, R.J., Arridge, R.G.C. The elastic properties in bulk and shear of a glass bead-reinforced epoxy resin composite. J Mater Sci 12, 2154–2164 (1977). https://doi.org/10.1007/BF00552236
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00552236