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Computers and Concrete
  Volume 5, Number 3, June 2008 , pages 175-194
DOI: https://doi.org/10.12989/cac.2008.5.3.175
 


Numerical modeling of heterogeneous material
W. Puatatsananon, V. Saouma and V. Slowik

 
Abstract
    Increasingly numerical (finite element) modeling of concrete hinges on our ability to develop a representative volume element with all its heterogeneity properly discretized. Yet, despite all the sophistication of the ensuing numerical models, the initial discretization has been for the most part simplistic. Whenever the heterogeneity of the concrete is to be accounted for, a mesh is often manually crafted through the arbitrary inclusion of the particles (aggregates and/or voids) in an ad-hoc manner. This paper develops a mathematical strategy to precisely address this limitation. Algorithms for the random generation and placement of elliptical (2D) or ellipsoid (3D) inclusions, with possibly radiating cracks, in a virtual concrete model are presented. Collision detection algorithms are extensively used.
 
Key Words
    composites; mesoconcrete; concrete; representative equivalent volume.
 
Address
W. Puatatsananon; Department of Civil Engineering, Ubon Ratchathani University, Thailand
V. Saouma; Department of Civil Engineering, University of Colorado at Boulder, USA
V. Slowik; Hochschule fur Technik, Wirtschaft and Kultur Leipzig (FH), Germany
 

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