Meso-scale approach to modelling the fracture process zone of concrete subjected to uniaxial tension

By P. Grassl, Milan Jirásek. 2009

264 citations recorded by the source corpus.

A meso-scale analysis is performed to determine the fracture process zone of concrete subjected to uniaxial tension. The meso-structure of concrete is idealised as stiff aggregates embedded in a soft matrix and separated by weak interfaces. The mechanical response of the matrix, the inclusions and the interface between the matrix and the inclusions is modelled by a discrete lattice approach. The inelastic response of the lattice elements is described by a damage approach, which corresponds to a continuous reduction of the stiffness of the springs. The fracture process in uniaxial tension is approximated by an analysis of a two-dimensional cell with periodic boundary conditions. The spatial distribution of dissipated energy density at the meso-scale of concrete is determined. The size and shape of the deterministic FPZ is obtained as the average of random meso-scale analyses. Additionally, periodicity of the discretisation is prescribed to avoid influences of the boundaries of the periodic cell on fracture patterns. The results of these analyses are then used to calibrate an integral-type nonlocal model.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0831ee0a1c778038501629004ef233cb4ff25dcc

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In Mechanics of Materials

Citations in the corpus

Localizing gradient damage model with decreasing interactions (2017, background): “Such an evolution of the process zone – for example, observed in concrete experiments [28, 29] and meso-scale simulations [30] – motivates the localizing gradient damage formulation in this section.”
Meso-scale modelling of the size effect on the fracture process zone of concrete (2011, methodology): “The present 2D plane stress modelling approach for fracture in concrete is based on a lattice formed by discrete structural elements (Grassl and Jirásek, 2010).”
A damage model with evolving nonlocal interactions (2011, background): “Due to the heterogeneity of quasi-brittle material (e.g. concrete, rocks), diffuse micro-cracking over a certain volume is usually observed at early stages of the fracturing process (Haidar et al., 2005; Grassl and Jirásek, 2010).”
Lattice Element Models and Their Peculiarities (2017, methodology): “Some of the notable lattice model applications to concrete are presented in papers of Schlangen and van Mier [4, 5], Schlangen and Garboczi [2], Chang et al [22], Lilliu and van Mier [50], Karihaloo et al [23], or in some recent papers by Vassaux et al [10, 11], Grassl et al [28, 29], Cusatis et”