Overall elastoplastic property for micropolar composites with randomly oriented ellipsoidal inclusions

Computational Materials Science

Volumn 37, Issue 4, 2006, Pages 582-592

  Ma, Hansong ^a   Liu, Xiaoning ^a   Hu, Gengkai ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Composite; Micromechanics; Micropolar theory; Plasticity

Indexed keywords

COMPOSITE MICROMECHANICS; ELASTOPLASTICITY; MOLECULAR ORIENTATION; PLASTICITY; STRAIN MEASUREMENT; STRESS ANALYSIS;

ESHELBY SOLUTION; MICROPOLAR THEORY; ORIENTED ELLIPSOIDAL INCLUSIONS; SECANT MODULI METHOD;

COMPOSITE MATERIALS;

EID: 33747878428     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2005.12.016     Document Type: Article

References (37)

1. Fleck N.A., Muller G.M., Ashby M.F., and Hutchinson J.W. Strain gradient plasticity: theory and experiment. Acta Metall. Mater. 42 (1993) 475-487
2. Kouzeli M., and Mortensen A. Size dependent strengthening in particle reinforced aluminium. Acta Mater. 50 (2002) 39-51
3. Hu G.K., Liu X.N., and Lu T.J. A variational method for nonlinear micropolar composite. Mech. Mater. 37 (2005) 407-425
4. Cherkaev A.V., Lurie K.A., and Milton G.W. Invariant properties of the stress in plane elasticity and equivalence classes of composites. Proc. R. Soc. Lond. A 438 (1992) 519-529
5. Nemat-Nasser S., and Hori M. Micromechanics: Overall Properties of Heterogeneous Materials (1993), Elsevier, North-Holland
6. Torquato S. Random heterogeneous media: microstructure and improve bounds on effective properties. Appl. Mech. Rev. 44 (1991) 37-75
7. Hu G.K., and Weng G.J. Connection between the double inclusion model and the Ponte Castañeda-Willis, Mori-Tanaka, and Kuster-Toksoz model. Mech. Mater. 32 (2000) 495-503
8. Schmauder S. Computational mechanics. Ann. Rev. Mater. Res. 32 (2002) 437-465
9. Eringen A.C. Theory of micropolar elasticity. In: Leibowitz H. (Ed). Fracture, an Advanced Treatise (1968), Academic Press, New York
10. Muhlhaus H.B., and Vardoulakis I. The thickness of shear bands in granular materials. Geotechnique 37 (1987) 271-283
11. de Borst R. A generalization of J2-flow theory for polar continua. Comput. Methods Appl. Mech. Eng. 103 (1993) 347-362
12. Eringen A.C. Microcontinuum Field Theory (1999), Springer, New York
13. Fleck N.A., and Hutchinson J.W. A phenomenological theory for strain gradient effect in plasticity. J. Mech. Phys. Solids 41 12 (1993) 1825-1857
14. Aifantis E.C. On the microstructural origin of certain inelastic models. Trans. ASME J. Eng. Mater. Technol. 106 (1984) 326-330
15. Gao H., Huang Y., Nix W.D., and Hutchinson J.W. Mechanism-based strain gradient plasticity-I. Theory. J. Mech. Phys. Solids 47 (1999) 1239-1263
16. Smyshlyaev V.P., and Fleck N.A. Bounds and estimates for linear composites with strain gradient effects. J. Mech. Phys. Solids 42 (1994) 1851-1882
17. Smyshlyaev V.P., and Fleck N.A. Bounds and estimates for the overall plastic behavior of composites with strain gradient effects. Proc. R. Soc. Lond. A 451 (1995) 795-810
18. Fleck N.A., and Willis J.R. Bounds and estimates for the effect of strain gradient upon the effective plastic properties of an isotropic two-phase composite. J. Mech. Phys. Solids 52 (2004) 1855-1888
19. Yuan X., and Tomita Y. Effective properties of Cosserat composites with periodic microstructure. Mech. Res. Commun. 28 3 (2001) 265-270
20. Chen S., and Wang T.C. Size effects in the particle-reinforced metal-matrix composites. Acta Mech. 157 1-4 (2002) 113-127
21. Cheng Z.Q., and He L.H. Micropolar elastic fields due to a spherical inclusion. Int. J. Eng. Sci. 33 3 (1995) 389-397
22. Cheng Z.Q., and He L.H. Micropolar elastic fields due to a circular cylindrical inclusion. Int. J. Eng. Sci. 35 7 (1997) 659-668
23. Sharma P., and Dasgupta A. Average elastic field and scale-dependent overall properties of heterogeneous micropolar materials containing spherical and cylindrical inhomogeneities. Phys. Rev. B 66 (2002) 1-10
24. Liu X.N., and Hu G.K. A continuum micromechanical theory of overall plasticity for particulate composites including particle size effect. Int. J. Plasticity 21 (2005) 777-799
25. Xun F., Hu G.K., and Huang Z.P. Effective in plane moduli of composites with a micropolar matrix and coated fiber. Int. J. Solids Struct. 41 (2004) 247-265
26. Xun F., Hu G.K., and Huang Z.P. Size-dependence of overall in-plane plasticity for fiber composites. Int. J. Solids Struct. 41 (2004) 4713-4730
27. Qiu Y.P., and Weng G.J. A theory of plasticity for porous materials and particle-reinforced composites. Int. J. Plasticity 59 (1992) 261-268
28. Suquet P. Overall properties of nonlinear composites: a modified secant moduli theory and its link with Ponte Castaneda's nonlinear variational procedure. C.R. Acad. Sci. Paris Ser., II 320 (1995) 563-571
29. Hu G.K. A method of plasticity for general aligned spheroidal void or fiber-reinforced composites. Int. J. Plasticity 12 (1996) 439-449
30. Castañeda P. The effective mechanical properties of nonlinear isotropic composite. J. Mech. Phys. Solids 39 (1991) 45-71
31. H.S. Ma, G.K. Hu, Eshelby tensors for an ellipsoidal inclusion in a micropolar medium, Int. J. Eng. Sci., in press.
32. H.S. Ma, G.K. Hu, Influence of fiber's shape and size on overall elastoplastic property for micropolar composites, Int. J. Solids Struct., in press.
33. Nowacki W. Theory of Asymmetric Elasticity (1986), Pergamon Press, New York
34. Mura T. Micromechanics of Defects in Solids (1982), Martinus Nijhoff, Netherlands
35. Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. Mater. 21 (1973) 571-573
36. Wapole L.J. On the overall elastic moduli of composite materials. J. Mech. Phys. Solids 17 (1969) 235-251
37. Tandon G.P., and Weng G.J. Average stress in the matrix and effective moduli of randomly oriented composites. Compos. Sci. Technol. 27 (1986) 111-132