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Research PaperResearchia:202606.16029

PF-DIC: Phase field digital image correlation for integrated full-field displacement, strain, and damage measurements

Dingxiang Zhu

Abstract

This work presents a novel digital image correlation (DIC) framework for full-field measurements of displacement, strain, and damage, based on a phase field (PF) approach. The idea is to take advantage of the ability of the PF method to track complex crack morphologies and to provide a natural way in DIC to perform damage and crack measurements from experimental speckle images, in addition to displacement and strain fields. Moreover, incorporating the damage variable into DIC can improve the dis...

Submitted: June 16, 2026Subjects: Mathematics; Mathematics

Description / Details

This work presents a novel digital image correlation (DIC) framework for full-field measurements of displacement, strain, and damage, based on a phase field (PF) approach. The idea is to take advantage of the ability of the PF method to track complex crack morphologies and to provide a natural way in DIC to perform damage and crack measurements from experimental speckle images, in addition to displacement and strain fields. Moreover, incorporating the damage variable into DIC can improve the displacement accuracy near the crack tip, and can avoid the need of user-defined masks when dealing with cracked samples, which is advantageous when cracks become complex and the manual application of masks becomes challenging. The theoretical formulation of the proposed framework, namely PF-DIC, was presented in detail in the paper, along with a finite element implementation. Numerical examples have demonstrated the capability of the proposed PF-DIC in terms of capturing different types of cracks while improving the measurement accuracy of displacement fields. Additionally, it is shown that the PF-DIC can be easily adapted to selectively identify critical cracks under specific loading conditions or mechanisms for damage assessment and diagnostic purposes. The proposed DIC framework offers a powerful and automatic damage measurement technique and paves the way for the unification of PF simulations and experimental measurements of fracture and opens numerous opportunities in science and engineering, e.g., materials defect characterization and structural health monitoring.


Source: arXiv:2606.16850v1 - http://arxiv.org/abs/2606.16850v1 PDF: https://arxiv.org/pdf/2606.16850v1 Original Link: http://arxiv.org/abs/2606.16850v1

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Date:
Jun 16, 2026
Topic:
Mathematics
Area:
Mathematics
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