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Coupled Systems Mechanics
  Volume 7, Number 6, December 2018 , pages 669-690

2D continuum viscodamage-embedded discontinuity model with second order mid-point scheme
Xuan Nam Do and Adnan Ibrahimbegovic

    This paper deals with numerical modeling of dynamic failure phenomena in rate-sensitive brittle and/or ductile materials. To this end, a two-dimensional continuum viscodamage-embedded discontinuity model, which is based on our previous work (see Do et al. 2017), is developed. More specifically, the pre-peak nonlinear and rate-sensitive hardening response of the material behavior, representing the fracture-process zone creation, is described by a rate-dependent continuum damage model. Meanwhile, an embedded displacement discontinuity model is used to formulate the post-peak response, involving the macro-crack creation accompanied by exponential softening. The numerical implementation in the context of the finite element method exploiting the second-order mid-point scheme is discussed in detail. In order to show the performance of the model several numerical examples are included.
Key Words
    dynamics; fracture process zone-FPZ; strain-softening; localization; finite element; embedded discontinuity; mid-point scheme
Xuan Nam Do and Adnan Ibrahimbegovic: Universite de Technologie Compiegne / Sorbonne Universites, Laboratoire Roberval de Mecanique
Centre de Recherche Royallieu, Rue Personne de Roberval, 60200 Compiegne, France

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