Numerical characterization of material elastic properties for random fiber composites

Journal of Mechanics of Materials and Structures

Volumn 3, Issue 7, 2008, Pages 1279-1298

  Iorga, Lucian ^a   Pan, Yi ^a   Pelegri, Assimina ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Finite element analysis; Homogenization; Random fiber reinforced composite; Representative volume element

Indexed keywords

EID: 70350413141     PISSN: 15593959     EISSN: None     Source Type: Journal    
DOI: 10.2140/jomms.2008.3.1279     Document Type: Article

References (20)

1. S. G. Advani and C. L. Tucker, "The Use of Tensors to Describe and Predict Fiber Orientation in Short Fiber Composites", Journal of Rheology 31 (1987), 751-784.
2. Y. Benveniste, "A new approach to the application of Mori-Tanaka's theory in composite materials", Mechanics of Materials 6:1 (1987), 147-157.
3. D. Coelho, J.-F. Thovert, and P. M. Adler, "Geometrical and transport properties of random packings of spheres and aspherical particles", Physical Review E 55:2 (1997), 1959-1978.
4. J. S. Dahl, G. Smith, D. Houston, and L. Berger, "The influence of fiber tow size on the performance of chopped carbon fiber reinforced composites", Materials and processing technologies for revolutionary applications, 37th ISTC, Washington (2005).
5. D. Duschlbauer, H. J. Böhm, and H. E. Pettermann, "Computational Simulation of Composites Reinforced by Planar Random Fibers: Homogenization and Localization by Unit Cell and Mean Field Approaches", Journal of Composite Materials 40:24 (2006), 2217-2234.
6. D. Eberly, "Intersection of Cylinders", http://www.geometrictools.com, 2001.
7. J. D. Eshelby, "The determination of the elastic field of an ellipsoidal inclusion, and related problems", Proceedings of the Royal Society of London. Series A 241:1226 (1957), 376-396.
8. A. Gusev, M. Heggli, H. Lusti, and P. Hine, "Orientation Averaging for Stiffness and Thermal Expansion of Short Fiber Composites", Advanced Engineering Materials 4:12 (2002), 931-933.
9. S. Hazanov and C. Huet, "Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume", Journal of the Mechanics and Physics of Solids 42:12 (1994), 1995-2011.
10. R. Hill, "Elastic properties of reinforced solids: some theoretical principles", Journal of the Mechanics and Physics of Solids 11:5 (1971), 357-372.
11. P. J. Hine, H. R. Lusti, and A. A. Gusev, "Numerical simulation of the effects of volume fraction, aspect ratio and fibre length distribution on the elastic and thermoelastic properties of short fibre composites", Composites science and technology 62:10-11 (2002), 1445-1453.
12. A. Ionita and W. J. Weitsman, "On the mechanical response of randomly reinforced chopped-fibers composites: Data and model", Composites Science and Technology 66 (2006), 2566-2579.
13. M. Jiang, K. Alzebdeh, I. Jasiuk, and M. Ostoja-Starzewski, "Scale and boundary conditions effects in elastic properties of random composites", Acta Mechanica vol.148 (2001), 63-78.
14. T. Kanit, F. N'Guyen, S. Forest, D. Jeulin, M. Reed, and S. Singleton, "Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry", Computer Methods in Applied Mechanics and Engineering 195:33-36 (July 2006), 3960-3982.
15. S. Kari, H. Berger, and U. Gabbert, "Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites", Computational Materials Science 39 (2007), 198-204.
16. T. Mori and K. Tanaka, "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metallurgica 21 (1973), 571-574.
17. Y. Pan, A. A. Pelegri, and L. Iorga, "Analysis of 3D random chopped fiber reinforced composite using the finite element method", Accepted for publication in Computational Materials Science (2007).
18. E. Sanchez-Palencia and A. Zaoui (editors), Homogenization techniques for composite media: Lectures delivered at the CISM International Center for Mechanical Science, Lecture Notes in Physics, Springer-Verlag, 1985.
19. C. Sun, "Mechanics of Composite Materials and Laminates - Lecture Notes", 2006. unpublished.
20. S. Williams and A. Philipse, "Random packings of spheres and spherocylinders simulated by mechanical contraction", Physical Review E 67:5 (May 2003), 051301.