A concurrent micromechanical model for predicting nonlinear viscoelastic responses of composites reinforced with solid spherical particles

International Journal of Solids and Structures

Volumn 44, Issue 21, 2007, Pages 6891-6913

  Muliana, Anastasia H ^a   Kim, Jeong Sik ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

Micromechanics; Particle reinforced composites; Viscoelastic

Indexed keywords

BOUNDARY CONDITIONS; CONSTITUTIVE EQUATIONS; MICROMECHANICS; MICROSTRUCTURE; POLYMER MATRIX; VISCOELASTICITY;

DISPLACEMENT COMPATIBILITY; NONLINEAR CONSTITUTIVE RELATIONS; REPRESENTATIVE VOLUME ELEMENT (RVE);

REINFORCED PLASTICS;

EID: 34548454990     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.03.016     Document Type: Article

References (43)

1. ABAQUS User's Manual, Version 6.5 (2005), Hibbitt, Karlsson, and Sorensen, Inc.
2. Aboudi J. Mechanics of Composite Materials: A Unified Micromechanical Approach (1991), Elsevier
3. Aboudi J., Pindera M.J., and Arnold S.M. Thermoelastic theory for the response of materials graded in two directions. Int. J. Solids Struct. 33 (1996) 931-966
4. Alberola N.D., and Mele P. Viscoelasticity of polymers filled by rigid or soft particles: theory and experiment. Polym. Compos. 17 (1996) 751-759
5. Aniskevich K., and Hristova J. Creep of polyester resin filled with mineral. J. Appl. Polym. Sci. 77 (2000) 45-52
6. Chawla N., Ganesh V.V., and Wunsch B. Three-dimensional (3D) microstructure visualization and finite element modeling of the mechanical behavior of the SiC particle reinforced aluminum composites. Scripta Materialia 51 (2004) 161-165
7. Chen X.H., and Mai Y.W. Micromechanics of rubber-toughened polymers. J. Mater. Sci. 33 (1998) 3529-3539
8. Cho J., Joshi M.S., and Sun C.T. Effects of inclusion size of mechanical properties of polymeric composites with micro and nano particles. Compos. Sci. Technol. 66 (2006) 1941-1952
9. Christensen R.M. Viscoelastic properties of heterogeneous media. J. Mech. Phys. Solids 17 (1969) 23-41
10. Christensen R.M., and Lo K.H. Solutions for effective shear properties in three phase sphere and cylindrical models. J. Mech. Phys. Solids 27 4 (1979) 315-330
11. Dommelen, J.A.W., Brekelmans, W.A.M, Baaijens, F.P.T, 2002. Micromechanics of Particle-Modified Semi-crystalline Materials. In Fifth World Congress on Computational Mechanics, Vienna, Austria.
12. Dvorak G.J., and Srinivas M.V. New estimates of overall properties of heterogeneous solids. J. Mech. Phys. Solids 47 (1999) 899-920
13. Eroshkin O., and Tsukrov I. On micromechanical modeling of particulate composites with inclusions of various shapes. Int. J. Solids Struct. 42 (1995) 409-427
14. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problem. Proc. R. Soc. Lond. A241 (1957) 376-396
15. Haj-Ali, R.M., Pecknold, D.A., 1996. Hierarchical material models with microstructure for nonlinear analysis of progressive damage in laminated composite structures, Struct. Res. Ser. No. 611, UILU-ENG-96-2007, Department of Civil Engineering, University of Illinois at Urbana-Champaign.
16. Haj-Ali R.M., Kilic H., and Zureick A.H. Three-dimensional micromechanics-based constitutive framework for analysis of pultruded structures. J. Eng. Mech. 127 7 (2001) 653-660
17. Haj-Ali R.M., and Muliana A.H. Micromechanical models for the nonlinear viscoelastic behavior of pultruded composite materials. Int. J. Solids Struct. 40 (2003) 1037-1057
18. Haj-Ali R.M., and Muliana A.H. A multi-scale constitutive framework for the nonlinear analysis of laminated composite materials and structures. Int. J. Solids Struct. 41 (2004) 3461-3490
19. Haj-Ali R.M., and Muliana A.H. Numerical finite element formulation of the Schapery nonlinear viscoelastic material model. Int. J. Numer. Meth. Eng. 59 1 (2004) 25-45
20. Harper B.D., and Weitsman Y. Characterization method for a class of thermorheologically complex materials. J. Rheology 29 (1985) 49-66
21. Hashin Z., and Shtrikman S. On some variational principles is anisotropic and nonhomogeneous elasticity. J. Mech. Phys. Solids 10 (1962) 335-342
22. Hill R. A self consistent mechanics of composite materials. J. Mech. Phys. Solids 13 (1965) 213-222
23. Kari S., Berger H., Rodriguez-Ramos R., and Gabbert U. Computational evaluation of effective material properties of composites reinforced by randomly distributed spherical particles. Compos. Struct. 77 (2007) 223-231
24. Kerner E.H. The elastic and thermo-elastic properties of composite media. Proc. Phys. Soc. 69 8B (1956) 808-813
25. Kinloch A.J., Maxwell D., and Young R.J. Micromechanics of crack propagation in hybrid-particulate composites. J. Matr. Sci. Letter 4 (1985) 1276-1279
26. Leiden J., and Woodhams R.J. The strength of polymeric composites containing spherical fillers. J. Appl. Polym. Sci. 18 (1974) 1639
27. Levesque M., Derrien K., Mishnaevski L., Baptiste D., and Gilchrist M.D. A micromechanical model for nonlinear viscoelastic particle reinforced polymeric composite materials: undamaged state. Composites A 35 (2004) 905-913
28. Li, J., Weng, G.J., 1993. Effective viscoelastic behavior and complex moduli of a class of isotropic polymer matrix composites. ASME, MD Publication, Mater. Mech. Issue, Vol. 46, pp. 207-225.
29. McLaughlin R. A study of the differential scheme for composite materials. Int. J. Eng. Sci. 15 (1977) 237-244
30. Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21 (1973) 571-574
31. Muliana, A.H., Khan, A.K., 2006. A time integration scheme for stress-temperature behaviors of adhesive polymer, submitted for publication.
32. Mura T. Micromechanics of Defects in Solids (1987), Martinous Nijhoff Publishers, Dordrecht
33. Nemat-Nasser S., and Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. second ed. (1999), Elsevier
34. Park S.W., and Schapery R.A. A viscoelastic constitutive model for particulate composite with growing damage. Int. J. Solids Struct. 34 8 (1997) 931-947
35. Rajagopal K.R., and Srinivasa A.R. A note on a correspondence principle in nonlinear viscoelastic materials. Int. J. Fracture 131 (2005) 47-52
36. Schapery R.A. On the characterization of nonlinear viscoelastic materials. Polym. Eng. Sci. 9 4 (1969) 295-310
37. Takahashi S., Katoh T., Taguchi S., and Watanabe T. Glass-fiber and graphite flake reinforced polyimide composite diaphragm for loudspeakers. J. Audio Eng. Soc. 31 10 (1983) 723-728
38. Tsou A.H., and DelleFave D.L. Creep of a glass-flake-reinforced epoxy adhesive for space applications. Polymer 37 24 (1996) 5381-5386
39. Willis J.R. Bounds and self-consistent estimates for the overall properties of anisotropic composites. J. Mech. Phys. Solids 25 (1977) 185-202
40. Wong F.C., and Ait-Kadi A. Mechanical behavior of particulate composites: experiments and micromechanical predictions. J. Appl. Polym. Sci. 55 (1995) 263-278
41. Yang L., Wang L., and Zhu Z. Micromechanical analysis of the nonlinear elastic and viscoelastic constitutive relations of a polymer filled with rigid particles. Acta Mechanica Sinica 10 2 (1994) 176-185
42. Yang W., Shi W., Li Z.M., Xie B.H., Feng J.M., and Yang M.B. Mechanical properties of glass bead-filled linear low-density polyethylene. J. Elastomers Plastics 36 (2004) 251-265
43. Young R.J., Maxwell D.L., and Kinloch A.J. The deformation of hybrid-particulate composites. J. Mater. Sci. 21 (1986) 380-388