Coupling damage and peridynamics for objective prediction of failure

Categories: Current Research


Continuum mechanics is a convenient tool for describing the behavior of materials and structure at the macro scale. However, when it comes to the very low scale, new phenomena, such as defect nucleation and crack initiation, can appear that are not captured in continuum mechanics. In this case, it is suitable to use refined approaches. Recently, a nonlocal mechanics theory (known as "peridynamics") has shown promising results for simulating the fracture of materials. This nonlocal mechanics, however, is computationally expensive, and should be limited to small but critical domains, such as the damage nucleation or fracture regions. The common practice is therefore to use continuum mechanics as much as possible at macro scale and, locally, to enhance it with this refined model. Different models are then used in the same structure at the same time, and result in the question of how to "glue" them. We develop a specific gluing technique, called the morphing method, to couple continuum and nonlocal mechanics models for predicting the material failure. The morphing method couples both models in the level of constitutive parameters in terms of the conservation of strain energy. This capability makes coupling easier to be applied to a complex structure. In addition, this method is easily transferable and nonintrusive for commercial environments.

Fracture process in double-notch metallic specimen under combined loading



  • Dr. Yunteng Wang (Postdoctoral Fellow)
  • Bram Lagerweij (PhD Student)
  • Yongwei Wang (PhD Candidate)
  • Prof. Gilles Lubineau (PI)

Former member(s):

  • Dr. Fei Han (former Research Scientist; currently Professor at Dalian University, China)
  • Dr. Yan Azdoud (former PhD student; currently at Johns Hopkins University, US)

Funding agency: KAUST Baseline, Boeing. 

  • Dr. Fei Han (former Research Scientist; currently Associate Professor at Dalian University, China)
  • Dr. ​Abe Askari (Boeing)
  • Dr. Yan Azdoud (former PhD student at KAUST; currently Postdoc Fellow in Johns Hopkins University)
  • Dr. Stewart Silling (Sandia National Laboratory)
  1. Y. Wang, F. Han, G. Lubineau. A hybrid local/nonlocal continuum mechanics modeling and simulation of fracture in brittle materials. Computers, Materials and Continua. 121(2):399-423, 2019
  2. F. Han, G. Lubineau, Y. Azdoud. Adaptive coupling between damage mechanics and peridynamics: A route for objective simulation of material degradation up to complete failure, Journal of the Mechanics and Physics of Solids, 94:453-472, 2016
  3. Y. Azdoud, F. Han, D. Littlewood, G. Lubineau, P. Seleson. Chapter 14: Coupling local and non-local models. In The Handbook of Peridynamics Modeling. Editors: F. Bobaru, J.T. Foster, P. Geubelle and S.A. Silling. Eds. Series: Modern Mechanics and Mathematics. Publisher: Taylor & Francis/CRC Press. Pages: 405-436, 2016
  4. F. ​Han, G. Lubineau, Y. Azdoud, A. Askari. A morphing approach to couple state-based peridynamics with classical continuum mechanics, Computer Methods in Applied Mechanics and Engineering, 301:336-358, 2016
  5. A. Askari, Y. Azdoud, F. Han, G. Lubineau, S. Silling. Chapter 12: Peridynamics for analysis of failure in advanced composite materials. In Numerical Modelling of Failure in Advanced Composite Materials. S. Hallett and P. Camanho Eds. Publisher: Woodhead publishing. Pages: 331-350, 2015
  6. Y. Azdoud, F. Han and G. Lubineau. The morphing method as a flexible tool for adaptative local/non-local simulation of static fracture. Computational Mechanics. 54(3):711-722, 2014
  7. Y. Azdoud, F. Han and G. Lubineau. A Morphing framework to couple non-local and local anisotropic continua. International Journal of Solids and Structures, 50(9):1332-1341, 2013
  8. G. Lubineau, Y. Azdoud, F. Han, C. Rey and A. Askari. A morphing strategy to couple non-local to local continuum mechanics. Journal of Mechanics and Physics of Solids, 6:1088-1102, 2012