Discrete models of solids have been motivated, in large part, by the discontinuous and
heterogeneous nature of material structure and its breakdown under loading. The …

Mass transport phenomenon in concrete structures is strongly coupled with their mechanical
behavior. The first coupling fabric is the Biot's theory according to which fluid pressure …

In this paper, experimental evidence, theoretical predictions and the finite element modelling
of the structural size effect in cracking problems of quasi-brittle materials are discussed and …

An adaptive discretization refinement strategy for steady state discrete mesoscale models of
coupled mechanics and mass transport in concrete is presented. Coupling is provided by …

The susceptibility of structural concrete to early-age cracking depends on material
composition, methods of processing, structural boundary conditions, and a variety of …

Numerical simulations of concrete fracture performed with a probabilistic mesoscale discrete
model are presented. The model represents a substantial part of material randomness by …

This paper presents a rigorous derivation of equations to evaluate the macroscopic stress
tensor, the couple stress tensor, and the flux vector equivalent to underlying microscopic …

Diffusion behaviors of heterogeneous materials are of paramount importance in many
engineering problems. Numerical models that take into account the internal structure of such …

In this paper, we study applications of the virtual element method (VEM) for simulating the
deformation of multiphase composites. The VEM is a Galerkin approach that is applicable to …

The use of discrete material representation in numerical models is advantageous due to the
straightforward way it takes into account material heterogeneity and randomness, and the …