Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-22T07:48:12.119Z Has data issue: false hasContentIssue false
  • English
  • Français

Site-bond modelling of porous quasi-brittle media

Published online by Cambridge University Press:  05 July 2018

A. P. Jivkov ,
M. Gunther  and
K. P. Travis
A. P. Jivkov*
Affiliation:
Research Centre for Radwaste and Decommissioning, The University of Manchester, Manchester M13 9PL, UK
M. Gunther
Affiliation:
Materials Performance Centre, The University of Manchester, Manchester M13 9PL, UK
K. P. Travis
Affiliation:
Immobilisation Science Laboratory, Department of Materials Science and Engineering, University of Sheffield, Sheffield S1 3JD, UK
*
*E-mail: andrey.jivkov@manchester.ac.uk
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Geological repository designs employ a multi-barrier approach. The materials, which include wasteforms, backfill and host rock, are typically porous quasi-brittle. Mechanical damage (e.g. nucleation and growth of microcracks) can result in significant changes in permeability. A knowledge of how the permeability is affected is critical to accurate modelling of radionuclide transport. This work proposes a novel 3D lattice-type model for the damage evolution in such materials, referred to as the site-bond model. Its advantages over previous models are that the shape of the lattice cell is physically realistic and that any macroscopic elastic response can be represented, including those of cementitious and geological materials. Damage accumulates as bonds fail upon reaching prescribed failure strengths. These are dictated by a predefined pore size distribution. Concrete is used as a study material. It is demonstrated that the model can predict the macroscopic stress–strain response under unconfined tension and compression with emergent non-linearity due to damage evolution. Ongoing work on the prediction of permeability changes with damage is discussed. This is based on the interaction between the model proposed here and a lattice model of the pore space.

Keywords

site-bond modelling. mechanical modellinggeological disposalradioactive wastequasi-brittle mediapermeabilityradionuclide transportconcrete
Type
Research Article
Information
Mineralogical Magazine , Volume 76 , Issue 8 , December 2012 , pp. 2969 - 2974
Creative Commons
Creative Common License - CCCreative Common License - BY
© [2012] The Mineralogical Society of Great Britain and Ireland. This is an open access article distributed under the terms of the Creative Commons Attribution (CC BY) licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2012

References

Blunt, M.J., Jackson, M.D., Piri, M. and Valvatne, P.H. (2002) Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow. Advances in Water Resources, 25, 1069–1089.CrossRefGoogle Scholar
Bortolotti, L. (2003) Strength of concrete subjected to pullout load. Journal of Materials in Civil Engineering, 15, 491–495.CrossRefGoogle Scholar
Chang, C.S., Wang, T.K., Sluys, L.J. and van Mier, J.G.M. (2002) Fracture modeling using a micro structural mechanics approach - I. Theory and formulation. Engineering Fracture Mechanics, 69, 1941–1958.CrossRefGoogle Scholar
Hoover, W.C. and Hoover, C.C. (2001) Spam-based recipes for continuum simulations. Computers in Science & Engineering, 3, 78–79.CrossRefGoogle Scholar
Jivkov, A.P. and Olele, J.E. (2011) Novel lattice models for porous media. Paper O62 in: Scientific Basis for Nuclear Waste Management XXXV. MRS Symposium Proceedings, October 2–7. 2011, Buenos Aires, Argentina.Google Scholar
Jivkov, A.P. and Yates, J.R. (2012) Elastic behaviour of a regular lattice for meso-scale modelling of solids. International Journal of Solids and Structures, 49, 3089–3099.CrossRefGoogle Scholar
Jivkov, A.P., Stevens, N.P.C. and Marrow, T.J. (2006) A three-dimensional computational model for intergranular cracking. Computational Materials Science, 38, 442–453.Google Scholar
Kumar, S., Kurtz, S.K., Banavar, J.R. and Sharma, M.G. (1992) Properties of a three-dimensional Poisson-Voronoi tesselation: a Monte Carlo study. Journal of Statistical Physics, 67, 523–551.CrossRefGoogle Scholar
Schlangen, E. (2008) Crack development in concrete, part 2: modelling of fracture process. Key Engineering Materials, 385–387. 73–76.Google Scholar
Schlangen, E. and van Mier, J.G.M. (1992) Experimental and numerical analysis of micromechanisms of fracture of cement-based composites. Cement & Concrete Composites, 14, 105–118.CrossRefGoogle Scholar
Silling, S.A. (2000) Reformulation of elasticity theory for discontinuities and long-range forces. Journal of the Mechanics and Physics of Solids, 48, 175–209.Google Scholar
Wang, Y. and Mora, P. (2008) Macroscopic elastic properties of regular lattices. Journal of the Mechanics and Physics of Solids, 56, 3459–3474.CrossRefGoogle Scholar
Winslow, D. and Liu, D. (1990) The pore structure of paste in concrete. Cement and Concrete Research, 20, 227–235.CrossRefGoogle Scholar