Two Theoretical Elasticity Micromechanics Models

Journal of Elasticity

Volumn 50, Issue 1, 1998, Pages 15-25

  Christensen, R M ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Composites; Elasticity; Micromechanics

Indexed keywords

COMPOSITE MICROMECHANICS; FOAMS; MATHEMATICAL MODELS; SHEAR STRENGTH; SPHERES;

COMPOSITE SPHERES MODELS; GENERALIZED SELF CONSISTENT METHODS (GSCM);

ELASTICITY;

EID: 0031624263     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007497600857     Document Type: Article

References (9)

1. R.M. Christensen, A critical evaluation for a class of micromechanics models. J. Mech. Phys. Solids 38 (1990) 379-404.
2. Z. Hashin, The elastic moduli of heterogeneous materials. J. Appl. Mech. 29 (1962) 143-150.
3. R.M. Christensen and K.H. Lo, Solutions for effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27 (1979) 315-330.
4. A.R. Day, K. A. Snyder, E.J. Garboczi and M.F. Thorpe, The elastic moduli of a sheet containing circular holes. J. Mech. Phys. Solids 40 (1992) 1031-1051.
5. A. Cherkaev, K. Lurie and G.W. Milton, Invariant properties of stress in plane elasticity and equivalence classes of composites. Proc. R. Soc. Lond. A 438 (1992) 519-529.
6. G.W. Milton, Private Communication (1997).
7. Z. Hashin and B.W. Rosen, The elastic moduli of fiber-reinforced materials. J. Appl. Mech. 31 (1964) 223-233.
8. R. Hill, Theory of mechanical properties of fibre-strengthened materials: I. Elastic behavior. J. Mech. Phys. Solids 12 (1964) 199-212.
9. M. Avellaneda, Iterated homogenization, differential effective medium theory and applications. Comm. Pure and Appl. Math. (1987) 527-554.