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In this paper we present a closed-form solution for mode I Stress IntensityFactors (SIF) in three-dimensional planar flaws based on homotopy transformations ofa disk. The SIF is given for each point of the crack border under the hypothesis of anisolated crack under tensile loading. The solution is proposed in terms of the Fourierseries and the first order approximation of the coefficients is given using the explicitform. The results indicate that the proposed equation is very accurate when the flaw is asmall deviation from a circle. Our solution is used to predict the SIF of many types ofplanar flaws and the results are compared with numerical predictions taken from theliterature.