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Damage cluster distributions in numerical concrete at the mesoscale

Okan Yılmaz1,*, Peter Michael Derlet2, and Jean-François Molinari1

  • 1Civil Engineering Institute, Materials Science and Engineering Institute, École Polytechnique Fédérale de Lausanne (EPFL), Station 18, CH-1015 Lausanne, Switzerland
  • 2Condensed Matter Theory Group, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland

  • *okan.yilmaz@epfl.ch; jean-francois.molinari@epfl.ch
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Phys. Rev. E 95, 043002 – Published 26 April, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.043002

Abstract

We investigate the size distribution of damage clusters in concrete under uniaxial tension loading conditions. Using the finite-element method, the concrete is modeled at the mesoscale by a random distribution of elastic spherical aggregates within an elastic mortar paste. The propagation and coalescence of damage zones are then simulated by means of dynamically inserted cohesive elements. Dynamic failure analysis shows that the size distribution of damage clusters follows a power law when a system-spanning cluster is first observed, with an exponent close to that of percolation theory. This is found for a range of selected mesostructural parameters, material defects, and applied strain rates. In all cases, the system-spanning cluster occurs prior to the onset of local decohesion, a regime of crack nucleation and propagation, and eventual material failure. The resulting fully damaged crack surfaces after failure are found to be only weakly correlated with the percolated damage region structures.

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Outline

Information

Phys. Rev. E 95, 043002– Published 26 April, 2017
  • Received 11 October 2016
  • Revised 8 March 2017

©2017 American Physical Society

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