Stochastic modelling of crack propagation in heterogeneous materials

Fractures tend to propagate along the least resistance paths, and homogeneous? based models may not be able to reliably predict the true crack paths, as they are not capable of capturing nonlinearities and local damage induced by local inhomogeneity. In this work, a stochastic numerical modelling framework has been developed for simulating fracturing in natural heterogeneous materials. Fracture propagation is modelled using Francfort and Marigo’s variational theory, and randomness in the material properties is introduced by random field principle. A computational strategy on the basis of nonlinear dimensionality reduction framework is developed that maps domain of spatially variable properties of the materials to a low?dimensional space. This strategy allows us to predict the most probable fracture patterns leading to failure by an optimization algorithm. The reliability and performance of the developed methodology are examined through simulation of experimental case studies and comparison of predictions with measured data.

Failure of earth structures

This research aims to develop a new and practical numerical model for risk assessment and probability failure analysis of earth structures. An advanced computational framework based on Material Point Method (MPM) and random field theory is developed to predict probability failure of slopes. The model issued to predict geo-hazards such as general slope failures and landslides, from the initiation state (internal stresses concentration) to the post-failure stage (final equilibrium state).

Geopolymer resin characterisation