Stressed state and effective elastic moduli of a medium reinforced by a periodic array of spheroidal inclusions
Journal Article
·
· International Applied Mechanics
- Institute of Ultrahard Materials, Kiev (Ukraine)
An exact solution is obtained for the problem of the elastic equilibrium of a space reinforced by a regular array of spheroidal inclusions and exact expressions are found for the components of the effective elastic constant tensor. Similar results were obtained earlier for a composite with spherical inclusions: the state of the problem and the method of studying composites with a regular structure were discussed elsewhere. As shown in those papers, a rigorous approach to simulation of fields of the microstresses and the effective properties is particularly important in studies of highly-filled, very inhomogeneous composites, the behavior of which is determined primarily by the interaction of neighboring inclusions. The extent to which the latter is taken into account thus determines the reliability with which the behavior of the material is predicted; the combination of a lattice model and a rigorous approach to the solution of the corresponding periodic boundary-value problem ensures adequate description of the interaction of inclusions over the entire range of their volume content and the properties of the phases. Only approximate solutions are known for a composite with spheroidal particules: Tandon and Weng, e.g., used the Eshelby model combined with the Mori-Tanaka theory fo mean stresses to calculate the stresses and Iwakuma and Nemat-Nasser used a self-consistency procedure to solve the problem of reduction for a periodic composite.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 186156
- Journal Information:
- International Applied Mechanics, Journal Name: International Applied Mechanics Journal Issue: 3 Vol. 31; ISSN IAMEEU; ISSN 1063-7095
- Country of Publication:
- United States
- Language:
- English
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