Abstract
The rigidity of rods of a polymeric foam in bending and torsion is measured as a function of diameter. The dependence of rigidity upon specimen size is found to be inconsistent with a classically viscoelastic continuum model. The Cosserat continuum, which admits additional degrees of freedom associated with rotation of the microstructure, describes the foam more accurately than the classical continuum. Evidence is presented that additional degrees of freedom associated with the deformation of the microstructure, must be incorporated in a complete continuum model of foamed materials.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
R. E. Peterson, in “Metal Fatigue”, edited by S. Sines and J. L. Waisman (McGraw Hill, New York 1959) pp. 293–306.
W. T. Koiter, Koninkl. Ned. Akad. Wetenschappen, ser. B LXVII, (1964) 17.
E. Cosserat and F. Cosserat, “Theories des Corps Deformables” (Hermann et Fils, Paris, 1909).
A. C. Eringen, “Proceedings of the 11th International Congress of Applied Mechanics”, Munich, 1964 (Springer, Berlin, 1966) pp. 131–138.
R. D. Mindlin, Int. J. Solids. Struct. 1, (1965) 265.
E. V. Kuvshinskii and E. L. Aero, Sov. Phys. Solid St. 5 (1964) 1892.
A. C. Eringen, in “Fracture” Vol. 2, edited by H. Liebowitz (Academic, New York, 1968) pp. 621–729.
S. C. Cowin, Int. J. Solids, Structures, 6 (1970) 389.
G. V. Krishna Reddy and N. K. Venkata-Subramanian, J. Appl. Mech. 45 (1978) 429.
R. D. Gauthier and W. E. Jahsman, ibid. 42 (1975) 369.
P. N. Kaloni and T. Ariman, J. Appl. Math. Phys. (ZAMP), 18 (1967) 136.
S. C. Cowin, ibid., 21 (1970) 494.
R. D. Mindlin and H. F. Teirsten, Arch. Rational Mech. Anal. 11 (1962) 415.
R. W. Ellis and C. W. Smith, Experim. Mech. 7 (1968) 372.
W. E. Jahsman and R. D. Gauthier, in “Continuum Models of Discrete Systems”, (University of Waterloo Press, 1980) pp. 667–686.
R. W. Perkins and D. Thompson, AIAA Journal, 11 (1973) 1053.
A. Askar, Int. J. Eng. Sci. 10 (1972) 293.
J. F. Yang and R. S. Lakes, in “1980 Advances in Bioengineering”, edited by V. C. Mow, (ASME, New York, 1980).
R. S. Lakes, 1981 Biomechanics Symposium, ASME, Boulder, Colorado, June 1981 (ASME, New York, 1981).
Idem, J. Biomec. Eng. 104 (1982) 6.
J. F. C. Yang and R. S. Lakes, ibid. 103 (1981) 275.
Idem, J. Biomechanics, 15 91–98 (1982).
Idem, in “Transactions of the 28th Orthopaedic Research Society meeting”, (1982) p. 67.
R. D. Mindlin, Arch. Rational Mech. Anal. 16 (1964) 51.
J. W. Nunziato and S. C. Cowin, ibid. 72 (1979) 176.
S. C. Cowin and J. W. Nunziato, J Elasticity in press.
J. L. Bleustein, Int. J. Solids, Structures, 2 (1966) 83.
H. S. Yoon and J. L. Katz, in “1976 Ultrasonics Symposium Proceedings”, (Inst. Electrical, Electronic Engineers, 1976) pp. 48–50.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lakes, R.S. Size effects and micromechanics of a porous solid. J Mater Sci 18, 2572–2580 (1983). https://doi.org/10.1007/BF00547573
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00547573