Coupled systems mechanics

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ED-FEM multi-scale computation procedure for localized failure

  • Rukavina, Ivan (Universite de Technologie de Compiegne / Sorbonne Universites, Laboratoire Roberval, Centre de Recherche Royallieu) ;
  • Ibrahimbegovic, Adnan (Universite de Technologie de Compiegne / Sorbonne Universites, Laboratoire Roberval, Centre de Recherche Royallieu) ;
  • Do, Xuan Nam (Universite de Technologie de Compiegne / Sorbonne Universites, Laboratoire Roberval, Centre de Recherche Royallieu) ;
  • Markovic, Damijan (EDF, DIPNN / Direction Technique)
  • Received : 2019.02.23
  • Accepted : 2019.03.21
  • Published : 2019.04.25
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Abstract

In this paper, we present a 2D multi-scale coupling computation procedure for localized failure. When modeling the behavior of a structure by a multi-scale method, the macro-scale is used to describe the homogenized response of the structure, and the micro-scale to describe the details of the behavior on the smaller scale of the material where some inelastic mechanisms, like damage or plasticity, can be defined. The micro-scale mesh is defined for each multi-scale element in a way to fit entirely inside it. The two scales are coupled by imposing the constraint on the displacement field over their interface. An embedded discontinuity is implemented in the macro-scale element to capture the softening behavior happening on the micro-scale. The computation is performed using the operator split solution procedure on both scales.

Keywords

References

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