Discrete elastic parameters for lattice model with embedded discontinuities and application in concrete fracture

Jadran Čarija , Mijo Nikolić , Eduard Marenić (1)

1 ICA - Institut Clément Ader

This work presents a lattice fracture model [1-4] with a choice of parameters that lead to correct elastic continuum response. This choice of elastic parameters is important for post peak softening behaviour of the model, where correct stiffness of the model influence fracture propagation. The procedure for the computation of geometric parameters in a lattice fracture model of this type can match the global stiffness correctly [5] and it is applicable in heterogeneous materials under quasi-static regime. Such model can represent fracture and failure mechanisms in concrete and reinforced concrete structures. We show the procedure for choosing the correct elastic parameters which is based on Voronoi domain discretization of points randomly positioned in the domain. Lattice elements are zero-size elements that can match the global stiffness, but it can also be elastically homogeneous for various Poisson coefficients. Numerical examples show the capabilities of the model for simulation of the prepeak and post-peak behaviour of fracturing in concrete.

Mots clés: lattice model; elastic uniformity; fracture; concrete; lattice model

Domaines: Matériaux et structures en mécanique [physics.class-ph]

Jadran Čarija, Mijo Nikolić, Eduard Marenić. Discrete elastic parameters for lattice model with embedded discontinuities and application in concrete fracture. The 8th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2022, Jun 2022, Oslo, Norway. ⟨hal-03689512⟩