Failure of heterogeneous materials: 3D meso-scale FE models with embedded discontinuities

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 matri...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2010-06, Vol.82 (13), p.1671-1688
Main Authors: Benkemoun, N., Hautefeuille, M., Colliat, J.-B., Ibrahimbegovic, A.
Format: Article
Language:English
Subjects:
Computer simulation
Discontinuity
embedded discontinuity
Exact sciences and technology
Failure
Failure mechanisms
failure models
Finite element method
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
heterogeneous materials
Mathematical models
Mathematics
method of incompatible modes
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Physics
Representations
Sciences and techniques of general use
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Three dimensional
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Summary: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.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.2816