Investigation of effective material properties for viscoplastic fibrous composites using the self-consistent and Mori-Tanaka methods Conference Paper uri icon


  • This paper derives the effective material properties for a fiber reinforced composite material where both the fibers and matrix can be viscoplastic. The derivation is based on establishing a self-consistent relationship between the strain in the fiber, matrix and homogenized materials, each of which includes viscoplastic and thermal strains. The final effective material properties are described by two uncoupled expressions, one each for the elastic and inelastic effects. The elastic portion, while different in form, is identical to the non-dilute self-consistent method of Hill (1985) and Hershey (1954). In the derivation process, explicit expressions for the strain in the fiber and matrix are obtained. These allow a direct comparison to the Mori-Tanaka (1973) modification of the self-consistent method. Subsequently, it is shown that the Mori-Tanaka method is truly valid only for dilute concentrations of inclusions. It is noted that the Mori-Tanaka form for the elastic effective properties can be used in place of those derived by the non-dilute self-consistent method because of the uncoupling in the elastic and inelastic properties.

author list (cited authors)

  • Gramoll, K. C., Walker, K. P., & Freed, A. D.

publication date

  • December 1991