Lattice-Based Modeling of Concrete Failure Mechanisms

Lattice-based modelling represents concrete as an assembly of discrete elements interconnected by bonds, allowing direct simulation of material heterogeneity, crack initiation and propagation. By discretising the domain according to nodal networks – often derived from Delaunay and Voronoi tessellations – these approaches capture microstructural features such as aggregate distribution, interfacial transition zones and fibre‐matrix interactions. Models operating at the mesoscale bridge the gap between continuum theories and atomistic descriptions, providing insight into localised strain localisation, bond breakage and energy dissipation during fracture. Contemporary lattice frameworks encompass rigid body spring models, damage–plasticity constitutive laws and multiscale upscaling schemes, enabling the prediction of flexural, compressive and tensile failure processes under diverse loading conditions. Such models have demonstrated their value in assessing repair strategies, reinforcing schemes and durability against environmental stressors. Ongoing challenges include systematic calibration of bond parameters against experiments, efficient coupling with mass‐transport phenomena and the computational cost of three‐dimensional analyses. Nevertheless, lattice‐based approaches continue to inform design guidelines, improve structural resilience and elucidate fundamental failure mechanisms in cementitious materials worldwide.

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Lattice-Based Modeling of Concrete Failure Mechanisms publication trend

The graph below shows the total number of articles in lattice-based modeling of concrete failure mechanisms across all publications each year (not limited to Nature Index journals).

Technical terms

Lattice model: A discrete representation of a material domain as nodes connected by bonds to simulate mechanical and fracture behaviour.

Mesoscale: An intermediate scale at which microstructural heterogeneities are explicitly resolved, bridging atomistic and continuum descriptions.

Rigid Body Spring Model (RBSM): A lattice approach in which rigid elements are linked by springs representing normal and shear interactions, simulating fracture and deformation.

Delaunay and Voronoi tessellations: Geometric constructions that define connectivity for structural and transport lattices respectively, ensuring objective discretisation.

Damage–plasticity constitutive law: A material model that captures irreversible deformation and progressive bond degradation under combined loading.

References

1. Mesoscale discrete simulation of flexural behavior of FRP-strengthened RC beams using 3D RBSM. Engineering Structures (2024).
2. 3D lattice meso-scale modelling of the effect of lateral compression on tensile fracture processes in concrete. International Journal of Solids and Structures (2023).
3. Modelling of capillary water absorption in sound and cracked concrete using a dual-lattice approach: Computational aspects. Construction and Building Materials (2022).