Abstract
Two-point distribution functions are used here as to introduce “Microstructure Sensitive Design” in two-phase composites. Statistical distribution functions are commonly used for the representation of microstructures and also for homogenization of materials properties. The use of two-point statistics allows the composite designer to include the morphology and distribution in addition to the properties of the individual phases and components. Statistical continuum mechanics is used to make a direct link between the microstructure and properties (elastic and plastic) in terms of these two-point statistical functions. An empirical form of the two-point statistical function is used which allows the construction of a composite hull. Two different composites (isotropic and anisotropic) are considered and the effect of anisotropy for the prediction of the elastic properties is discussed
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B.L. Adams M.B. Lyon S.R. Kalidindi H. Garmestani (2002) Mater. Sci. Forum. 408 IssueID-412 493
M.F. Ashby (1983) Metall Trans. A. 14 1755
S. Torquato G. Stell (1982) J., Chem. Phys. 77 137
B.L. Adams P.R. Morris T.T. Wang K.S. Willden S.I. Wright (1987) Acta Metall. 35 2935 Occurrence Handle10.1016/0001-6160(87)90293-8 Occurrence Handle1:CAS:528:DyaL1cXnvFGjuw%3D%3D
S. Torquato (1997) Phys. rev. Lett. 79 681 Occurrence Handle10.1103/PhysRevLett.79.681 Occurrence Handle1:CAS:528:DyaK2sXltFCmtLc%3D
H. Garmestani S. Lin B.L. Adams (1998) Int. J. Plasticity. 14 719 Occurrence Handle10.1016/S0749-6419(98)00019-9
H. Garmestani S. Lin (2000) J. Composites: Part B 31 39 Occurrence Handle10.1016/S1359-8368(99)00050-5
H. Garmestani S. Lin B. Adams S.I. Ahzi (2001) J. Mech. Phys. Solids. 49 589 Occurrence Handle10.1016/S0022-5096(00)00040-5
S. Lin H. Garmestani B. Adams (2000) Int. j. Solids Struct 37 423 Occurrence Handle10.1016/S0020-7683(99)00013-X
P.B. Corson (1974) J. Appl. Phys. 45 3159 Occurrence Handle10.1063/1.1663741 Occurrence Handle1:CAS:528:DyaE2MXmslGk
P.B. Corson (1974) J. Appl. Phys. 45 3165 Occurrence Handle10.1063/1.1663742 Occurrence Handle1:CAS:528:DyaE2MXmslGr
H. Garmestani P. Kalu D. Dingley (1998) J. Mater. Sci. Eng. A. 242 284 Occurrence Handle10.1016/S0921-5093(97)00515-7
E. Kroner (1972) Statistical Continuum Mecahnics Springer verlag Wien, NY
E. Kröner (1977) J. Mech. Phys. Solids. 25 137 Occurrence Handle10.1016/0022-5096(77)90009-6
M.J. Beran (1968) Statistical Continuum Theories Interscience Publishers NewYork
M.J. Beran A.T. Mason B.L. Adams T. Olsen (1996) J. Mech. Phys. Solids. 44 1543–1563 Occurrence Handle10.1016/0022-5096(96)00052-X Occurrence Handle1:CAS:528:DyaK28XlvFOnt7k%3D
B.L. Adams G.R. Canova A. Molinari (1989) Textures Microstruct. 11 57
A. Tewari A.M. Gokhale J.E. Spowart D.B. Miracle (2003) Acta Materiala. 52 307 Occurrence Handle10.1016/j.actamat.2003.09.016
A.T. Mason B.L. Adams (1999) Metall. Mater. trans. A. 30 969
M. Ostaja-Starzewski (1998) Int. J. Struct. 35 2429 Occurrence Handle10.1016/S0020-7683(97)00144-3
Torquato S. (2002). Ann. Rev. Matr. Res. 32
C.S. Pande (1988) Acta. Metall. 36 1261 Occurrence Handle10.1016/0001-6160(88)90278-7
C.S. Pande E. Dantsker (1994) Acta Metall. 42 2899 Occurrence Handle10.1016/0956-7151(94)90231-3
W. Voigt (1889) Wied Ann. 38 573
A. Reuss (1929) Math. Mech. 9 49 Occurrence Handle1:CAS:528:DyaA3cXit1Wrug%3D%3D
S. Nemat-Nasser (1999) Micromechanics: Overall Properties of Heterogeneous Materials Elsevier Netherlands
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Saheli, G., Garmestani, H. & Adams, B.L. Microstructure design of a two phase composite using two-point correlation functions. J Computer-Aided Mater Des 11, 103–115 (2004). https://doi.org/10.1007/s10820-005-3164-3
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DOI: https://doi.org/10.1007/s10820-005-3164-3