Intensity of Singular Stress Fields of an Embedded Fiber under Pull-Out Force

Abstract

In this study, an embedded fiber is considered in matrix under pull-out force. Then, two intensities of singular stress fields (ISSF) are discussed appearing at the fiber end A and the intersection point E of the fiber and the surface. The analysis method focuses on the FEM stress at points A and E by applying the same FEM mesh pattern to the unknown and reference 2D models. To analyze the ISSF at A, the body force method solution is used as the reference model. To analyze the ISSF at E, the reciprocal work contour integral method (RWCIM) solution is used as the reference model. Then, the two ISSFs are compared by varying the fiber bonded length l_in. When l_in is shorter, the singular stress at A is larger than the singular stress at E. When l_in is longer, the singular stress at E is larger than the singular stress at A.