Estimates for the elastic constants of transversely isotropic composites and the subclass of quasi-symmetric ones are given in unified simple forms from a common framework constructed also for the elastic moduli of three-dimensional isotropic composites and the transport properties.
Issue Section:
Brief Notes
1.
Beran
M. J.
Silnutzer
N. R.
1971
, “Effective electrical, thermal and magnetic properties of fiber reinforced materials
,” J. Composite Mater.
, Vol. 5
, pp. 246
–249
.2.
Bruno
O. P.
1990
, “The effective conductivity of an infinitely interchangeable mixture
,” Commun. Pure Appl. Math.
, Vol. 43
, pp. 769
–807
.3.
Christensen, R. M., 1979, Mechanics of Composite Materials, John Wiley and Sons, New York.
4.
Hashin
Z.
1965
, “On elastic behaviour of fibre reinforced materials of arbitrary transverse phase geometry
,” J. Mech. Phys. Solids
, Vol. 13
, pp. 119
–134
.5.
Hashin
Z.
Rosen
W.
1964
, “The Elastic Moduli of Fiber-Reinforced Materials
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 31
, pp. 223
223
.6.
Hill
R.
1963
, “Elastic properties of reinforced solids: some theoretical principles
,” J. Mech. Phys. Solids
, Vol. 11
, pp. 357
–372
.7.
Hill
R.
1964
, “Theory of mechanical properties of fiber-strengthened materials: I. Elastic behaviour
,” J. Mech. Phys. Solids
, Vol. 12
, pp. 199
–212
.8.
Miller
M. N.
1969
, “Bounds for the effective elastic bulk modulus of heterogeneous materials
,” J. Math. Phys.
, Vol. 10
, pp. 2005
–2013
.9.
Milton
G. W.
1982
, “Bounds on the elastic and transport properties of two-component composites
,” J. Mech. Phys. Solids
, Vol. 30
, pp. 177
–191
.10.
Pham
D. C.
1993
, “Bounds on the effective shear modulus of multiphase materials
,” Int. J. Engng. Sci.
, Vol. 31
, pp. 11
–17
.11.
Pham
D. C.
1994
, “Bounds for the effective conductivity and elastic moduli of fully-disordered multicomponent materials
,” Arch. Rational Mech. Anal.
, Vol. 127
, pp. 191
–198
.12.
Pham
D. C.
1996
, “On macroscopic conductivity and elastic properties of perfectly-random cell composites
,” Int. J. Solids Struct.
, Vol. 33
, pp. 1745
–1755
.13.
Pham
D. C.
1997
, “Overall properties of planar quasisymmetric randomly inhomogeneous media: estimates and cell models
,” Phys. Rev. E
, Vol. 56
, pp. 652
–660
.14.
Pham, D. C., 1999, “Estimates for the transverse shear modulus of unidirectional composites” Eur. J. Mech. A/Solids, in press
15.
Walpole
L. J.
1966
, “On bounds for the overall elastic moduli of inhomogeneous systems
,” J. Mech. Phys. Solids
, Vol. 14
, pp. 152
–162
.
This content is only available via PDF.
Copyright © 1999
by The American Society of Mechanical Engineers
You do not currently have access to this content.
