Coupled Digital Image Correlation and Peridynamics for Full-Field Deformation Measurement and Local Damage Prediction

Abstract

Digital image correlation (DIC) measurement technique and peridynamics (PD) method have been applied in specific fields extensively owing to their respective advantages in obtaining full-field deformation and local failure of loaded materials and structures. This study provides a simple way to couple DIC measurements with PD simulations, which can circumvent the difficulties of DIC in dealing with discontinuous deformations. Taking the failure analysis of a compact tension specimen of aluminum alloy and a static three-point bending concrete beam as examples, the DIC experimental system firstly measures the full-field displacements, and then the PD simulation is applied on potential damage regions determined according to the correlation coefficients, to track the micro-crack evolution and macro-crack propagation. As results, the coupled DIC and PD approach can effectively measure the full-field displacement and the localized damage accumulation and crack propagation.

Introduction for the Special Issue on Recent Developments of Peridynamics

“…Specifically, topics across dual-support smoothed particle hydrodynamics, multi-horizon peridynamics, theoretical analysis of singularity and anomalous dispersion, hybrid local/nonlocal continuum mechanics modeling, coupled digital image correlation (DIC) and peridynamics, fracture of functionally gradient materials, interaction between ice and structure and dynamic fracture of ice are included. Specifically, "A Dual-Support Smoothed Particle Hydrodynamics for Weakly Compressible Fluid Inspired by the Dual-Horizon Peridynamics" by Zhuang et al [Zhuang, Rabczuk and Ren (2019)], extends the dual-horizon peridynamics with variable horizon sizes to the fluid flow application of SPH, e.g., dam break; "A Possible Reason about Origin Of Singularity and Anomalous Dispersion in Peridynamics" by Huang [Huang (2019)] regards the singularity of uniaxial tension and anomalous dispersion of wave in peridynamics stemming from the lack of local stress characterizing contact interactions; "A Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation of Fractures in Brittle Materials" by Han et al [Han, Wang and Lubineau (2019)] further develops a hybrid model of classical continuum mechanics and peridynamics and introduces their software for crack propagation of quasi-brittle materials; "Coupled Digital Image Correlation and Peridynamics for Full-Field Deformation Measurement and Local Damage Prediction" by Li et al [Li, Zhang, Gu et al (2019)], attempts to compensate the damage evolution and crack propagation with peridynamic simulation considering the DIC cannot capture the crack evolution continuously; "Dynamic Fracture Analysis of Functionally Gradient Materials with Two Cracks by Peridynamic Modeling" by Cheng et al [Cheng, Jin, Yuan et al (2019)], investigates the influences of cracks positions and distance, and FGMs gradient pattern on the crack propagation pattern with bond-based peridynamics; "Peridynamics Modeling and Simulation of Ice Craters by Impacts" by Song et al [Song, Yan, Li et al (2019)] develops a particle refinement technique in the non-ordinary state-based peridynamic simulation corresponding to a modified Drucker-Prager constitutive model for ice crater; "The Multi-horizon Peridynamics" by Jenabidehkordi et al [Jenabidehkordi and Rabczuk (2019)] proposes a refinement approach by introducing multiple domains to the nodes in the refinement zone; "Numerical Simulation of Dynamic Interaction between Ice and Wide Vertical Structure Based on Peridynamics" by Jia et al [Jia, Ju and Wang (2019)] tries to calculate ice damage, ice forces and vibration responses of structures in the duration through bondbased peridynamic simulation; "Numerical Simulations of the Ice Load of a Ship Navigating in Level Ice Using Peridynamics" by Xue et al [Xue, Liu, Liu et al (2019)] adopts the bond-based peridynamics to predict the ice loads for a ship navigating in level ice and dynamic fracture of ice. As a final remark, it is hoped that the presented topics will give this special issue a much more lasting value and make it appealing to a broad audience of researchers, practitioners, and students who are interested in peridynamics, and each reader can find in this special issue something useful or inspiring.…”

Peridynamic Approach to Digital Image Correlation Strain Calculation Algorithm

“…In their study displacements are imported from DIC measurements and used to calculate crack path using the PD simulation and PD damage parameters. Turner [33] and Li et al [34] coupled DIC with PD simulation by reading the displacement field from DIC measurements and using it in PD simulations to circumvent the DIC difficulties when measuring full field deformations in discontinuous displacement field. The method was also applied to potential damage regions determined according to the low DIC correlation coefficients.…”

“…Despite the work mentioned before related to DIC-PD coupling, the topic is still a very new one and of high potential to contribute to and enhance the capabilities of both experimental DIC and computational PD methods. Moreover, applying PDDO directly to DIC displacement field rather than coupling DIC displacement with PD simulations (this was done in studies [32][33][34]) brings new approach to be investigated. The aim of this study is to investigate into the possible applications of the PDDO to full field DIC in order to find possible improvements of the DIC differentiation algorithm and thus the DIC strain calculation accuracy.…”