Skip to main content Accessibility help
×
Home

Effective Transverse Elastic Properties of Composites Containing Two Types of Continuous Fibers

  • P. J. Lin (a1)

Abstract

Based the previously published model on the two-dimensional micromechanical fiber interaction framework of two-phase composites, effective transverse elastic properties of composites containing two types of randomly located yet unidirectionally aligned circular fibers are studied in this paper. Approximate local solutions for the interaction problem of two randomly located circular fibers of different elastic properties are presented. A fiber-reinforced composite material containing two extreme types of inclusions, voids and rigid fibers, is also investigated. Comparison with Hashin's variational bounds and Mori-Tanaka method, the current approach provides reasonably accurate predictions for three-phase composites. Finally, numerical simulation examples are implemented to demonstrate the capability of the proposed model.

Copyright

Corresponding author

*Associate Professor

References

Hide All
1.Hashin, Z., “On Elastic Behavior of Fiber Reinforced Materials of Arbitrary Transverse Phase Geometry,” J. Mech. Phys. Solids, 13, pp. 119134 (1965).
2.Silnutzer, N., “Effective Constants of Statistically Homogeneous Materials,” Ph. D. Dissertation, Univ. of Pennsylvania., U.S.A. (1972).
3.Milton, G. W., “Bounds on the Elastic and Transport Properties of Two-Component Materials,” J. Mech. Phys. Solids, 30, pp. 177191 (1982).
4.Torquato, S. and Lado, F., “Improved Bounds on The Effective Elastic Moduli of Random Arrays of Cylinders,” J. Appl. Mech., 59, pp. 16 (1992).
5.Kroner, E., “Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls,” Z. Phys., 151, pp. 504518 (1958).
6.Budiansky, B., “On the Elastic Moduli of Some Heterogeneous Materials,” J. Mech. Phys. Solids, 13, pp. 223227 (1965).
7.Hill, R., “A Self Consistent Mechanics of Composite Materials,” J. Mech. Phys. Solids, 13, pp. 213222 (1965).
8.Christensen, R. M. and Lo, K. H., “Solutions for Effective Shear Properties in Three Phase Sphere and Cylinder Model,” J. Mech. Phys. Solids, 27, pp. 315330 (1979).
9.Christensen, R. M., “A critical Evaluation for a Class of Micro-Mechanics Models,” J. Mech. Phys. Solids, 38, pp. 379404 (1990).
10.Huang, Y., Hu, K. X., Wei, X. and Chandra, A., “A Generalized Self-Consistent Mechanics Method for Composite Materials with Multiphase Inclusions,” J. Mech. Phys. Solids, 42, pp. 491504 (1994).
11.Mori, T. and Tanaka, K., “Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions,” Acta Metall., 21, pp. 571574 (1973).
12.Eshelby, J. D., “The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problem,” Proc. Roy. Soc., A241, pp. 376396 (1957).
13.Taya, M. and Mura, T., “On Stiffness and Strength of an Aligned Short-Fiber Reinforced Composite Containing Fiber-End Cracks Under Uniaxial Applied Stress,” J.Appl. Mech., 48, pp. 361367 (1981).
14.Taya, M., “On Stiffness and Strength of an Aligned Short-Fiber Reinforced Composite Containing Penny- Shaped Cracks In The Matrix,” J. Compos. Mat., 15, pp. 198210(1981).
15.Weng, G. J., “The Theoretical Connection Between Mori-Tanaka's Theory and Hashin-Shtrikman-Walpole Bound,” Int. J. Eng. Sci., 28, pp. 11111120 (1990).
16.Benveniste, Y., “A Approach to the Application of Mori-Tanaka's Theory In Composite Materials,” Mech. Mat., 60, pp. 147157(1987).
17.Federico, S., Grillo, A. and Herzog, W., “A Transversely Isotropic Composite with a Statistical Distribution of Spheroidal Inclusion: A Geometrical Approach to Overall Properties,” J. Mech. Phys. Solids, 52, pp. 23092327 (2004).
18.Kovacs, I., “Theory of Stationary Lattice Defects as Sources of Elastic Singularities,” Physica B+C, 94, pp. 177186(1978).
19.Hsieh, R. K. T., Voros, G. and Kovacs, I., “Stationary Lattice Defects as Sources of Elastic Singularities In Micropolar Media,” Physica B +C, 101, pp. 201208 (1980).
20.Mura, T., Micromechanics of Defects in Solids, Second Edition, Kluwer Academic Publishers (1987).
21.Ju, J. W and Chen, T. M., “Micromechanics and Effective Moduli of Elastic Composites Containing Randomly Dispersed Ellipsoidal Inhomogeneities,” Acta Mechanica, 103, pp. 103121 (1994).
22.Ju, J. W. and Chen, T. M., “Effective Elastic Moduli of Two-Phase Composites Containing Randomly Dispersed Spherical Inhomogeneities,” Acta Mechanica, 103, pp. 123144(1994).
23.Ju, J. W. and Lee, H. K., “A Micromechanical Damage Model for Effective Elastoplastic Behavior of Ductile Matrix Composites Containing Evolutionary Complete Particle Debonding,” Comput. Method Appl. Mech. Eng., 183, pp. 201222 (1998).
24.Ju, J. W. and Zhang, X. D., “Micromechanics and Effective Transverse Elastic Moduli of Composites with Randomly Located Aligned Circular Fibers,” Int. J.Solids Struct., 35, pp. 941960 (1998).
25.Christensen, R. M., “Effective Viscous Flow Properties for Fiber Suspensions Under Concentrated Conditions,” J. Rheol., 37, pp. 103121 (1993).

Keywords

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed