Archives of Computational Methods in Engineering

, Volume 24, Issue 4, pp 869–890 | Cite as

Complex Hybrid Numerical Model in Application to Failure Modelling in Multiphase Materials

  • Konrad PerzynskiEmail author
  • Lukasz Madej
Original Paper


Development of a discrete/continuum numerical model of different failure modes operating in dual phase steels during deformation is the main goal of the research. Proposed approach is based on a random cellular automata (RCA) model incorporated in a fully coupled manner to the finite element (FE) framework. As a result, the RCAFE model that can take into account fracture initiation within martensite phase, delamination between martensite and ferrite phases, ferrite phase fracture and delamination between ferrite and ferrite grain boundaries was established. Details on the developed cellular automata model including random space definition, state of CA cells as well as properly defined transition rules are recapitulated in the work. Developed data bridging technique between RCA and FE models is discussed within that part. Particular attention, however, is put on model parameters identification stage, which was realized with the inverse analysis technique on the basis of in situ tensile tests. Finally, examples of model application to multiscale numerical simulation of three point bending, which was selected as a case study, are presented to highlight predictive capabilities of the developed RCAFE solution.


Ferrite Martensite Monte Carlo Cellular Automaton Cellular Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This study was funded by the National Science Centre under the 2014/14/E/ST8/00332 project. FEM calculations were realized at the ACK CYFRONET AGH under the computing grant no. MNiSW/IBM_BC_HS21/AGH/076/2010.

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest.


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© CIMNE, Barcelona, Spain 2016

Authors and Affiliations

  1. 1.AGH University of Science and TechnologyKrakowPoland

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