The singular stress fields near a corner of fiber can be expressed as the sum of two terms: a symmetric term and a screw-symmetric term. The stress singularities for the two terms are different. The intensities of the mode I and mode II singular stress fields are defined in terms of constants KI, λ1 and KII, λ2, respectively. In this study, a new method for calculating KI, λ1 and KII, λ2 based the body force method is developed. In the numerical analysis, the singularities of stress field are characterized by introducing the proper basic density functions of body forces. The use of the basic density functions enables one to obtain accurate solutions. KI, λ1 and KII, λ2 are obtained simply from the values of weights of the density functions at the corner of the fiber.
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