Fatigue Crack Analysis Using a Coupled 2D CUF–3D Peridynamics Framework
Qiang ZHANG, Alfonso PAGANI, Xiang LIU, Wei ZHOU, Erasmo CARRERA
Abstract. Peridynamics (PD) naturally captures crack initiation and propagation, but fully PD fatigue simulations are computationally demanding. Hybrid CUF–PD approaches address this limitation by confining the 3D PD model to crack-prone regions and using efficient refined finite elements elsewhere. This work represents an initial attempt to extend the 2D CUF–3D PD coupling framework to fatigue crack analysis by incorporating Silling’s peridynamic fatigue damage model. The resulting formulation enables efficient prediction of fatigue crack initiation and growth in plate and shell structures while preserving the high-fidelity crack description of 3D PD.
Keywords
Peridynamics, Carrera Unified Formulation, Fatigue Crack Propagation, Hybrid Local–Nonlocal Modelling, High-Order Refined Elements
Published online 11/8/2026, 4 pages
Copyright © 2026 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Qiang ZHANG, Alfonso PAGANI, Xiang LIU, Wei ZHOU, Erasmo CARRERA, Fatigue Crack Analysis Using a Coupled 2D CUF–3D Peridynamics Framework, Materials Research Proceedings, Vol. 73, pp 62-65, 2026
DOI: https://doi.org/10.21741/9781644904459-13
The article was published as article 13 of the book Mechanics of Advanced Materials and Structures
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] A. Pagani and E. Carrera, “Coupling three‐dimensional peridynamics and high‐order one‐dimensional finite elements based on local elasticity for the linear static analysis of solid beams and thin‐walled reinforced structures,” Numerical Meth Engineering, vol. 121, no. 22, pp. 5066–5081, Nov. 2020. https://doi.org/10.1002/nme.6510.
[2] A. Pagani, M. Enea, and E. Carrera, “Quasi‐static fracture analysis by coupled three‐dimensional peridynamics and high order one‐dimensional finite elements based on local elasticity,” Numerical Meth Engineering, vol. 123, no. 4, pp. 1098–1113, Feb. 2022. https://doi.org/10.1002/nme.6890.
[3] F. Scabbia and M. Enea, “An improved coupling of 3D state‐based peridynamics with high‐order 1D finite elements to reduce spurious effects at interfaces,” Numerical Meth Engineering, vol. 124, no. 17, pp. 3687–3708, Sep. 2023. https://doi.org/10.1002/nme.7297.
[4] J. Zhang et al., “A computational approach to integrate three-dimensional peridynamics and two-dimensional higher-order classical elasticity theory for fracture analysis,” Engineering with Computers, vol. 41, no. 1, pp. 335–351, Feb. 2025. https://doi.org/10.1007/s00366-024-02001-2.
