Mesoscale modelling of crack-induced diffusivity in concrete
Artikel i vetenskaplig tidskrift, 2015

Cracks have large impact on the diffusivity of concrete since they provide low-resistance pathways for moisture and chloride ions to migrate through the material. In this work, crack-induced diffusivity in concrete is modelled on the heterogeneous mesoscale and computationally homogenized to obtain macroscale diffusivity properties. Computations are carried out using the finite element method (FEM) on three-dimensional Statistical Volume Elements (SVEs) comprising the mesoscale constituents in terms of cement paste, aggregates and the Interfacial Transition Zone (ITZ). The SVEs are subjected to uni-axial tension loading and cracks are simulated by use of an isotropic damage model. In a damaged finite element, the crack plane is assumed to be perpendicular to the largest principle strain, and diffusivity properties are assigned to the element only in the in-plane direction of the crack by anisotropic constitutive modelling. The numerical results show that the macroscale diffusivity of concrete can be correlated to the applied mechanical straining of the SVE and that the macroscale diffusivity increases mainly in the transversal direction relative to the axis of imposed mechanical straining.


statistical volume element



computational homogenization


Filip Nilenius

Chalmers, Bygg- och miljöteknik, Konstruktionsteknik

Fredrik Larsson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Karin Lundgren

Chalmers, Bygg- och miljöteknik, Konstruktionsteknik

Kenneth Runesson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Computational Mechanics

0178-7675 (ISSN) 1432-0924 (eISSN)

Vol. 55 2 359-370


Building Futures (2010-2018)





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