Abstract

In this study, the distributions of microscopic stresses at a free edge of a unidirectional carbon fiber-reinforced plastic (unidirectional CFRP) are analyzed three-dimensionally based on a homogenization theory. For this, the mathematical homogenization theory for elastic materials is reconstructed for unidirectional CFRPs with free edges using a traction free boundary condition. This theory is then applied to the analysis of microscopic stress distributions at a free edge of a unidirectional CFRP subjected to in-plane uniaxial tension. It is shown that microscopic shear stress noticeably occurs at the free edge, especially at the interface region between a carbon fiber and epoxy matrix.

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