Premium
Failure of heterogeneous materials: 3D meso‐scale FE models with embedded discontinuities
Author(s) -
Benkemoun N.,
Hautefeuille M.,
Colliat J.B.,
Ibrahimbegovic A.
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2816
Subject(s) - classification of discontinuities , representation (politics) , brittleness , computation , voronoi diagram , finite element method , computer science , polygon mesh , failure mode and effects analysis , scale (ratio) , phase (matter) , structural engineering , algorithm , materials science , mathematics , geometry , engineering , mathematical analysis , physics , composite material , computer graphics (images) , quantum mechanics , politics , political science , law
We present a meso‐scale model for failure of heterogeneous quasi‐brittle materials. The model problem of heterogeneous materials that is addressed in detail is based on two‐phase 3D representation of reinforced heterogeneous materials, such as concrete, where the inclusions are melt within the matrix. The quasi‐brittle failure mechanisms are described by the spatial truss representation, which is defined by the chosen Voronoi mesh. In order to explicitly incorporate heterogeneities with no need to change this mesh, some bar elements are cut by the phase‐interface and must be split into two parts. Any such element is enhanced using both weak and strong discontinuities, based upon the Incompatible Mode Method. Furthermore, a dedicated operator split solution procedure is proposed to keep local any additional computation on elements with embedded discontinuities. The results for several numerical simulations are presented to illustrate the capabilities of the proposed model to provide an excellent representation of failure mechanisms for any different macroscopic loading path. Copyright © 2010 John Wiley & Sons, Ltd.