<p>Based on the weight function method, the stress field of an uncracked disk serves as the theoretical foundation for solving the fracture parameters of cracked disks. The proposal of the series solution for the stress field accelerated the rapid development of the Brazilian test using center-cracked disks, while the development of techniques for edge-cracked disks progressed relatively slowly. This study analyzed the convergence of the stress field in uncracked disks and discussed its effect on the convergence of stress intensity factors (SIFs) and T-stresses for both center- and edge-cracked disks. For the first time, approximate series solutions in a unified format are provided for mode I and II SIFs and T-stresses in both single- and double-edge-cracked disks under compressive loading. A comprehensive evaluation of the convergence of these series solutions for center- and edge-cracked disks was conducted from three aspects: convergence region, convergence rate, and summation index. Based on the analysis, recommended summation index for different series solutions under a given truncation error are provided. This research establishes a complete methodology for evaluating the convergence of series solutions, which can be systematically applied to evaluate the convergence of various types of series solutions.</p>