Theoretical and Applied Mechanics Letters (Jul 2024)
Data-model coupling driven stress field measurements
Abstract
This paper presents a method for measuring stress fields within the framework of coupled data models, aimed at determining stress fields in isotropic material structures exhibiting localized deterioration behavior without relying on constitutive equations in the deteriorated region. This approach contributes to advancing the field of intrinsic equation-free mechanics. The methodology combines measured strain fields with data-model coupling driven algorithms. The gradient and Canny operators are utilized to process the strain field data, enabling the determination of the deterioration region's location. Meanwhile, an adaptive model building method is proposed for constructing coupling driven models. To address the issue of unknown datasets during computation, a dataset updating strategy based on a differential evolutionary algorithm is introduced. The resulting optimal dataset is then used to generate stress field results. Validation against finite element method calculations demonstrates the accuracy of the proposed method in obtaining full-field stresses in specimens with local degradation behavior.