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Representative volume element size for elastic composites: A numerical study. (English) Zbl 0977.74512

MSC:
74E30 Composite and mixture properties
74S30 Other numerical methods in solid mechanics (MSC2010)
74S05 Finite element methods applied to problems in solid mechanics
74Q15 Effective constitutive equations in solid mechanics
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[1] Drugan, W.J.; Willis, J.R., A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites, J. mech. phys. solids, 44, 497-524, (1996) · Zbl 1054.74704
[2] Hazanov, S.; Huet, C., Order relationships for boundary condition effects in heterogeneous bodies smaller than the representative volume, J. mech. phys. solids, 42, 1995-2011, (1994) · Zbl 0821.73005
[3] Huet, C., Application of variational concepts to size effects in elastic heterogeneous bodies, J. mech. phys. solids, 38, 813-841, (1990)
[4] Percus, J.K.; Yevick, G.J., Analysis of classical statistical mechanics by means of collective coordinates, Phys. rev., 110, 1-13, (1958) · Zbl 0096.23105
[5] Press, W.H.; Flannery, B.P.; Teukolsky, S.A.; Vetterling, W.T., Numerical recipes, (1988), Cambridge University Press Cambridge, Ch. 10 · Zbl 0661.65001
[6] Wertheim, M.S., Exact solution of the percus-yevick integral equation for hard spheres, Phys. rev. lett., 10, 321-323, (1963) · Zbl 0129.44302
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