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Phase field fracture in elasto-plastic solids: Numerical implementation and application to transversely isotropic fiber-reinforced composites
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Yang Zhang ,
Adesola Ademiloye
Applied Mathematical Modelling, Volume: 156, Start page: 116769
Swansea University Author:
Adesola Ademiloye
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DOI (Published version): 10.1016/j.apm.2026.116769
Abstract
Due to their superior tensile properties, fiber-reinforced composite (FRC) structures have been widely applied in modern industries. This study employs phase field modeling to simulate the process of elastic-plastic fracture in FRC structures. In this study, we first establish a constitutive model f...
| Published in: | Applied Mathematical Modelling |
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| ISSN: | 0307-904X |
| Published: |
Elsevier BV
2026
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa71267 |
| Abstract: |
Due to their superior tensile properties, fiber-reinforced composite (FRC) structures have been widely applied in modern industries. This study employs phase field modeling to simulate the process of elastic-plastic fracture in FRC structures. In this study, we first establish a constitutive model for elastoplastic solids and a phase field model for fracture in solid materials. By employing the Newton-Raphson iterative method, the displacement field and phase field are solved separately based on an alternating iterative scheme.Subsequently, we presented three numerical examples to demonstrate the robustness and accuracy of the proposed model. First, we simulated the elastoplastic fracture response of isotropic materials and validate the accuracy of the elastoplastic fracture phase field model. Next, we examined the tensile and fracture behaviors of unidirectional fiber reinforced composite plate with a central circular hole and varying fiber angles. Finally, the influence of curved fiber on the unilateral tensile fracture of FRC plates was investigated. Considering the pronounced heterogeneity between fibers and matrix materials,this study assumes that the fibers remain in the linear elastic regime and introduces a yield function to describe the matrix behavior. Our computational results demonstrate that the accuracy and robustness of the proposed model for predicting the elastoplastic fracture response of FRC structures. Furthermore, we observed that in comparison to the elastic phase field fracture model, the occurrence of fracture is delayed when an elastoplastic phase model is employed due to the complex interactions between the plastic dissipation energy and the fracture energy. |
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| Keywords: |
Elastoplastic Fracture, Fiber-Reinforced Composites, Transversely Isotropic, Phase Field Modeling, Crack |
| College: |
Faculty of Science and Engineering |
| Funders: |
NSFC, Royal Society - International Exchange Grant |
| Start Page: |
116769 |