Unit cells for micromechanical analyses of particle-reinforced composites

Mechanics of Materials

Volumn 36, Issue 7, 2004, Pages 543-572

  Li, Shuguang ^a   Wongsto, Anchana ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Boundary conditions; Effective properties; Micromechanical finite element analysis; Particle reinforced composites; Symmetry; Unit cells

Indexed keywords

BOUNDARY CONDITIONS; COMPOSITE MICROMECHANICS; DEBONDING; FINITE ELEMENT METHOD; MATRIX ALGEBRA; MICROCRACKS; PACKING; STRAIN; STRESS ANALYSIS;

EFFECTIVE PROPERTIES; MICROMECHANICAL FINITE ELEMENT ANALYSIS; PARTICLE-REINFORCED COMPOSITES; SYMMETRY; UNIT CELLS;

COMPOSITE MATERIALS;

EID: 1542634760     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(03)00062-0     Document Type: Article

References (33)

1. Agarwal B.D., Broutman L.J. Three-dimensional finite element analysis of spherical particle composites. Fibre Sci. Technol. 7:1974;63-77.
2. Ahuja N., Schachter B.J. Pattern Models. 1983;Wiley, New York.
3. Banks-Sills L., Leiderman V., Fang D. On the effects of particle shape and orientation on elastic properties of metal matrix composites. Composites Part B. 28B:1997;465-481.
4. Bao G., Hutchinson J.W., McMeeking R.M. Particle reinforcement of ductile matrices against plastic flow and creep. Acta Metall. Mater. 39:1991;1871-1882.
5. Borbely A., Biermann H., Hartmann O. FE investigation of the effect of particle distribution on the uniaxial stress-strain behaviour of particulate reinforced metal-matrix composites. Mater. Sci. Eng. A. 313:2001;34-45.
6. Budiansky B. On the elastic moduli of some heterogeneous materials. J. Mech. Phys. Solids. 13:1965;223-227.
7. Bush M.B. Modelling of nanophase materials. Mater. Sci. Eng. A. 161:1993;127-134.
8. Cowin S.C., Mehrabadi M.M. Anisotropic symmetries of linear elasticity. ASME Appl. Mech. Rev. 48:1995;247-285.
9. Davy P.J., Guild F.J. The distribution of interparticle distance and its application in finite-element modelling of composite materials. Proc. R. Soc. Lond. A. 418:1988;95-112.
10. Dong M., Schmauder S. Modeling of metal matrix composites by a self-consistent embedded cell model. Acta Mater. 44:1996;2465-2478.
11. Eshelby C.C. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. Lond. A. 241:1957;376-396.
12. Guild F.J., Kinloch A.J. Modelling the properties of rubber-modified epoxy polymers. J. Mater. Sci. 30:1995;1689-1697.
13. Hashin Z., Shtrikman S. A variational approach to the theory of elastic behaviour of multiphase materials. J. Mech. Phys. Solids. 11:1963;127-140.
14. He M.Y., Wu B., Zok F.W. On the mechanics of microballoon-reinforced metal matrix composites. Mech. Mater. 20:1995;315-328.
15. Hill R. A self-consistent mechanics of composite materials. J. Mech. Phys. Solids. 13:1965;213-222.
16. HKS, 2001. ABAQUS/Standard User's Manual, Version 6.2.
17. Hull D., Clyne T.W. An Introduction to Composite Materials. 1996;Cambridge University Press, Cambridge.
18. Lekhniskii S.G. Theory of Elasticity of an Anisotropic Elastic Body. 1963;Holden Day, San Francisco.
19. Li S. On the unit cell for micromechanical analysis of fibre-reinforced composites. Proc. R. Soc. Lond. A. 455:1999;815-838.
20. Li S. General unit cells for micromechanical analyses of unidirectional composites. Composites A. 32:2001;815-826.
21. Llorca J., Needleman A., Suresh S. An analysis of the effects of matrix void growth on deformation and ductility in metal-ceramic composites. Acta. Metall. Mater. 39:1991;2317-2335.
22. Love A.E.H. A Treatise on the Mathematical Theory of Elasticity. fourth ed. 1927;Cambridge University Press, London. (Chapter 6).
23. Meijer M., Ellyin F., Xia Z. Aspects of residual stress/strain in particle reinforced metal matrix composites. Composites B. 31:2000;29-37.
24. MSC, 2000. PATRAN User Manual, Version 2000.
25. Nemat-Nasser S., Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. 1999;Elsevier, Oxford.
26. Nye J.F. Physical Properties of Crystals. 1985;Clarendon Press, Oxford.
27. Segurado J., Llorca J. A numerical approximation to the elastic properties of sphere-reinforced composites. J. Mech. Phys. Solids. 50:2002;2107-2121.
28. Smith J.C. Experimental values for the elastic constants of a particulate-filled glassy polymer. J. Res. Natl. Bur. Stand. - A. Phys. Chem. 80A:1976;45-49.
29. Suzuki T., Yu P.K.L. Complex elastic wave band structures in three-dimensional periodical elastic media. J. Mech. Phys. Solids. 46:1998;115-138.
30. Tvergaard V. Analysis of tensile properties for a whisker-reinforced metal-matrix composite. Acta Metall. Mater. 38:1990;185-194.
31. Washizu K. Variational Methods in Elasticity and Plasticity. third ed. 1982;Pergamon Press, Oxford, England.
32. Weissenbek E., Bohm H.J., Rammerstorfer F.G. Micromechanical investigations of arrangement effects in particle reinforced metal matrix composites. Comput. Mater. Sci. 3:1994;263-278.
33. Wienecke H.A., Brockenbrough J.R., Romanko A.D. A three-dimensional unit cell model with application toward particulate composites. ASME J. Appl. Mech. 62:1995;136-140.