Closed-form analytical solutions for predicting stress transfers and thermo-elastic properties of short fiber composites

Abstract

Novel analytical solutions with closed-form expressions for the stress and displacement fields of short fiber reinforced composites (SFRCs) and analytical prediction of their effective thermo-elastic properties are presented. The cylindrical SFRC unit-cells with periodic boundary conditions are subjected to axial and transverse stresses as well as thermally induced residual stresses. By comparison with available numerical and analytical solutions, it is revealed that the present closed-form solutions provide accurate stress field variations as well as accurate predictions for the effective thermo-elastic properties of SFRCs in a split second, and thus, the developed model is much more computationally efficient than numerical methods.

Keywords:

• Short fiber reinforced composites
• analytical modeling
• fiber-matrix stress transfer
• effective thermo-elastic properties
• cylindrical short fiber model
• periodic boundary conditions

Acknowledgements

The work of M. Hajikazemi forms part of the research programme of DPI, project 812T17.

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this article.

Additional information

Funding

The authors acknowledge the financial support from EIT Raw Materials project “RELICARIO” under Grant Agreement No. 18239.