Conceptual Formulation for Crack Mapping Prediction Using Stochastic Modelling

Non-destructive testing (NDT) is a highly valuable technique for assessing the properties of materials and structures without causing any harm. However, the crack mapping model, which plays a critical role in identifying concrete defects, is limited due to its immature methodology. This aim of the study is to create an advanced 3-dimensional model to predict the crack mapping that integrates cutting-edge stochastic processes. To achieve this, the study employed the Delta method and ABAQUS simulation to simulate propagation of elastic waves in concrete accurately. The proposed model for crack mapping is utilizing interpolation of ellipse-based and beta reflection methods to analyze the concrete cross-sections and concrete surface. The mapping of the surface crack provided comprehensive insights by precisely locating cracks and providing variance information through the beta value. The simulation results demonstrated a firm agreement with theoretical samples, considering the heterogeneous properties of concrete. The model exhibited exceptional reliability in detecting concrete flaws, even when confronted with randomly distributed engineering properties. This study presents an innovative formulation for stochastic modeling in crack mapping prediction, offering significantly improved accuracy and reducing the number of NDT iterations required. It represents a remarkable advancement in the efficient and dependable detection of cracks in concrete structures.