Micromechanical modelling of fracture processes in cement composites

Cement composites are the most popular and widely used construction material in the world. Understanding and predicting fracture processes in these materials is scientifically challenging but important for durability assessments and life extension decisions. A recently proposed microstructure-informed site-bond model with elasticbrittle spring bundles is developed further to predict the elastic properties and fracture process of cement paste. It accounts for microstructure characteristics obtained from high resolution X-ray computed microtomography (micro-CT). Volume fraction and size distribution of anhydrous cement grains are used to determine the model length scale and pore-less elasticity. Porosity and pore size distribution are used for tuning elastic and failure properties of individual bonds. The fracture process is simulated by consecutive removal of bonds subject to failure criterion. The stress-strain response and elastic properties of cement paste are obtained. The simulated Young’s modulus and deformation response prior to peak stress agree very well with the experimental data. The proposed model provides an effective tool to simulate micro-cracks initiation, propagation, coalescence and localization

A lattice-spring model for damage evolution in cement paste

AbstractTo understand better the fracture processes in cement-based materials, it is essential to predict the evolution of damage in cement paste. A recently proposed site-bond model is developed further to take into account the key microstructure data, such as pore size distribution, porosity, and size distribution and volume fraction of anhydrous cement grains obtained from high resolution X- ray tomography. The grains are associated with lattice sites linked by deformable bonds. The bonds are bundles of elastic-brittle springs, resisting normal and shear relative displacements between grains with potential for failure. The model length scale and thence spring constants are controlled by grain statistics. The spring failure properties are controlled by pore statistics. Macroscopic damage develops by a succession of local failures, represented by spring removal. The model is used to simulate the stress-strain response and damage in cement paste under uniaxial tensile loading. The influence of porosity on tensile strength and damage evolution is estimated in a quantitative manner. The predictions of the model are in a very good agreement with the available experimental data

Site-bond modelling of structure-failure relations in quasi-brittle media

AbstractThe non-linear behaviour of quasi-brittle media emerges from distributed micro-cracking. This is analysed conveniently by discrete lattice models. A 3D site-bond model is specialised here for materials with three-phase microstructures: stiff inclusions in a compliant matrix containing pores. The deformation behaviour is based on analytically derived relations between bond properties, length scale and macroscopic elastic constants. The microstructure-model mapping is based on size distributions and volume densities of inclusions and pores, typically obtained through analyses of 3D images. Inclusions data is used to calculate the required length scale. Pores data is used to define the failure behaviour of individual bonds. Applications of the methodology to cement-based materials and nuclear graphite are presented separately in this volume

Measurement and modelling of reactive transport in geological barriers for nuclear waste containment

Unit cell illustrating potential diffusion paths (bonds, yellow and red) in the neighbourhood of central particle (green); these join neighbouring cell faces and show where elongated pores may be assigned to the experimental pore system information.</p

Engineering criterion for rupture of brittle particles in a ductile matrix including particle size and stress triaxiality effects

AbstractCatastrophic failure due to cleavage fracture is caused by the rapid propagation of a micro-crack in the vicinity of a macroscopic flaw. Micro-cracks are initiated at second-phase brittle particles, present in the steel in different sizes and distributed randomly in the volume. The current understanding is that such particles rupture when overloaded by the plastically deforming matrix. To predict the experimentally observed statistical nature of cleavage fracture under different constraint conditions, it is pertinent to develop a particle size and constraint dependent criterion for the failure of a brittle particle in a ductile matrix.In this work the failure energy of an elastic-brittle spherical particle in a ductile matrix is analysed. Several loading conditions were examined, from constrained-uniaxial through to plane strain with varying levels of constraint. To develop a size dependent condition, results for multiple particle radii were investigated within a fixed matrix volume. The particle and matrix were deformed initially; subsequently nodes along the particle mid-plane were released progressively imitating crack opening. The energy associated with particle rupture was determined from the change in reaction force before and after release and corresponding opening displacements.The results for each loading case show clear linear relation between rupture energy and particle size. Further the results show the dependence of rupture energy on constraint, with a distinct increase of failure probability with increasing constraint. Finally, an expression for particle rupture dependence on size, stress triaxiality, and plastic strain level is derived. It is intended that this model will then be used to advance continuum-based local approach models to cleavage and meso-scale models for distributed interacting micro-cracks