Predicting the expected lifetime of structural systems is fundamental for effective design and maintenance. However, existing methods based on physics overlook critical spatial considerations, particularly those related to random field inputs. In this study, we propose a new active learning surrogate-based method to predict the expected lifetime of structural systems affected by both time and space factors. The method starts by training an initial Kriging model with random samples and time-space coordinates. An extended expected feasibility function is proposed to select new training samples and their corresponding time-space coordinates, refining the Kriging model. A novel parallel learning strategy is proposed to expedite computations. By using the constructed Kriging model and the first failure time of random samples, we can predict the expected lifetime. The proposed method is adaptable to structural systems with multiple failure modes, implicit functions, and random field variations. The efficiency and accuracy of the proposed method are validated through four examples.
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