Abstract
Exact solutions for the stress distribution inside a spherical inclusion embedded in an other-wise homogeneous matrix are obtained. Such expressions provide a framework for discussing the load carrying capacity of rubber inclusions and the effect of interfacial bonding on the toughness of such filled systems. Parametric studies of the influence of constituent stiffness ratios on the resultant stress patterns in the inclusion and matrix have been conducted. Results indicate that chemical bonding between the particle and matrix is not necessary for soft inclusions, but is essential for rigid inclusions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. H. Merz, G. C. Claver andM. Baer,J. Polym. Sci. 22 (1956) 325.
S. Newman andS. Strella,J. Appl. Polym. Sci. 9 (1965) 2297.
C. B. Bucknall andR. R. Smith,Polymer 6 (1965) 437.
D. C. Philips andB. Harris, in “Polymer Engineering Composites”, edited by M. O. W. Richardson (Applied Science, London, 1977) p. 45.
C. B. Bucknall, in “Toughened Plastics” (Applied Science, London, 1977) pp. 67–105.
R. R. Durst, R. M. Griffith, A. J. Urbanic andW. J. Van Essen, in “Toughness and Brittleness of Polymers”, edited by R. D. Deanin and A. M. Crugnola (American Chemical Society, Washington, D.C., 1976) p. 239.
S. J. Wu,J. Polym. Sci., Polym. Phys. Ed. 21 (1983) 699.
E. B. Nauman, U S Patent 4 594 371 (1986).
E. B. Nauman et al. Chem. Engng Comm. 66 (1988) 29.
J. N. Goodier,J. Appl. Mech. 55 (1933) 39.
T. T. Wang, M. Matsuo andT. K. Kwei,J. Appl. Phys. 42 (1971) 4188.
T. T. Wang, M. Matsuo andT. K. Kwei,J. Polym. Sci. A2 (1972) 1085.
V. A. Matonis andN. C. Small,Polym. Engng Sci. 9 (1969) 90.
T. Ricco, A. Pavan andF. Danusso,ibid. 18 (1978) 774.
L. J. Broutman andG. Panizza,Intern. J. Polym. Mater. 1 (1971) 95.
A. E. H. Love in “A Treatise on the Mathematical Theory of Elasticity”, 4th edn (Dover Publications, New York, 1944) 172.
S. P. Timoshenko andJ. N. Goodier in “Theory of Elasticity”, 3rd edn (Mcgraw-Hill, New York, 1970) p. 383.
S. S. Sternstein andL. Ongchin,Polym. Prep. 10 (1969) 1117.
K. W. Allen,Brit. Polym. J. 11 (1979) 50.
S. Sahu andL. J. Broutman,J. Polym. Engng Sci. 12 (1972) 91.
L. Nicolais andL. Nicodemo,ibid. 13 (1973) 469.
J. Leidner andR. T. Woodhams,J. Appl. Polym. Sci. 18 (1974) 1639.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Liu, S.H., Nauman, E.B. On the micromechanics of composites containing spherical inclusions. J Mater Sci 25, 2071–2076 (1990). https://doi.org/10.1007/BF01045766
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01045766