Micromechanical determination of the elasticity and plasticity of composites
A systematic study was undertaken to determine the elastic properties of fiber, platelet, and particle reinforced composite materials. This involved developing a simple, albeit approximate, close-form solution to study the elastic stress, strain, and energy distribution in and around spheroidal inclusions and voids as well as the average values in the matrix for the general three-dimensional loading. By combining Eshelby's solution of an ellipsoidal inclusion and Mori-Tanaka's concept of average stress in the matrix, some theoretical properties of unidirectional and randomly oriented composites are established as a function of aspect ratio (= the ratio of length to diameter) and volume fraction of inclusions. It is proved that, in the former case, the Hill-Hashin bounds are realizable from this approach. Both three- and two-dimensional random orientations resulting, respectively, in a complete and transverses isotropy, are considered for the latter composite. As the shape of inclusions changes, the isotropic bulk and shear moduli are are shown to vary within the Hashin-Shtrikman bounds. The aspect ratio dependence of the five in-plane and out-plane moduli with planar orientations suggest that the in-plane properties are most effectively reinforced by fibrous inclusions whereas the out-plane ones are more responsive to the disc type.
- Research Organization:
- Rutgers-the State Univ., New Brunswick, NJ (USA)
- OSTI ID:
- 6422122
- Resource Relation:
- Other Information: Thesis (Ph. D)
- Country of Publication:
- United States
- Language:
- English
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