Fracture Mechanics (MF) represents a complex domain in the study of materials and structures that exhibit flaws, known as cracks. Over the last century, we have witnessed progress in the development of studies related to MF, consolidating it with practical applications in the field of structural engineering, particularly in prominent sectors such as the naval and aerospace industries, where crack prediction is of paramount importance. However, given the inherent complexity of these challenges, there is an increasing reliance on the application of numerical methods, particularly the Boundary Element Method (BEM), to perform computational analyses of crack propagation, based on the principles of Linear Elastic Fracture Mechanics (LEFM). In this scenario, the present study conducts an analysis of fracture toughness factors, k1 and k2 comparing numerical curves derived from models found in the literature with those obtained through the implementation of crack propagation prediction criteria (such as Maximum Circumferential Stress, Maximum Potential Energy Release Rate, and Minimum Strain Energy Density), using BEM. To generate these curves, the software BEMLAB2D and BEMCRACKER2D were used, developed for modeling and analysis via BEM, respectively. The results obtained confirm the efficacy of numerical methods, demonstrating good convergence between the numerical curves from the literature and those generated by the applications. Among the prediction criteria, the Maximum Circumferential Stress method stands out as having the greatest correspondence with experimental results.
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