Fracture modeling in clay materials under hydric shrinkageModélisation de fissure dans les matériaux argileux sous retrait hydrique : numerical models, comparisons with experiments and stochastic aspects
This thesis is focused on the modeling of crack propagation in random heterogeneous materials or induced by desiccation. A stochastic approach to the modeling of brittle fracture in random media is first proposed. Monte Carlo simulations are speciffically conducted to explore microstructural configurations and to subsequently build and identify a mesoscopic phase-field model. In this framework, the stochastic elastic coefficients are defined as fields of apparent properties, obtained under two types of boundary conditions, while the fracture parameters are assumed deterministic and are identified by solving an inverse problem. The methodology allows stochastic simulations of crack propagation to be performed without requiring a fine-grid discretization at the resolution of the heterogeneities. In a second part, we propose a modeling framework combining numerical simulations and physical experiments for the analysis of crack propagation induced by desiccation. Clay drying is speciffically investigated on samples called with rigid inclusions, with the aim of controlling variability on crack initiation and propagation. A finite-strain phase-field model is formulated for shrinkage deformations induced by hydric effects. The experimental analysis is performed by using a digital image correlation technique on a set of configurations with different numbers of inclusions. The deformation fields and crack paths thus obtained are analyzed and allow for the identification of model parameters. A discussion highlighting the advantages and limitations of the framework is finally proposed.
Hun, D. (2021). Fracture modeling in clay materials under hydric shrinkageModélisation de fissure dans les matériaux argileux sous retrait hydrique : numerical models, comparisons with experiments and stochastic aspects. https://hdl.handle.net/2078.5/241104