🤖 AI Summary
Accurate detection of fine, low-contrast, and non-uniform cracks in 3D concrete imagery remains challenging under high noise and limited labeled data. Method: This paper proposes an interpretability-driven statistical-learning coupled framework that uniquely embeds structural physics priors into the deep learning objective function, integrating Bayesian inference, regularized kernel methods, physics-informed neural networks (PINNs), and uncertainty quantification to establish a causally interpretable joint modeling paradigm. Contribution/Results: The approach significantly enhances model trustworthiness and cross-scenario generalizability, reducing prediction error by 32% across multiple engineering benchmarks. It enables real-time decision support while satisfying verifiability requirements stipulated by ASME and ISO standards.