The purpose of this paper is to review the development and the state of the art in desiccation
cracking characterization methods and review the desiccation cracking behaviors of soils …

Motivated by the successful implementation of the phase-field method (PFM) to simulate
complicated fracture patterns at moderate computational costs in solid materials, many …

We present a gradient-based theoretical framework for predicting hydrogen assisted fracture
in elastic-plastic solids. The novelty of the model lies in the combination of:(i) stress-assisted …

The failure behavior of geological materials depends heavily on confining pressure and
strain rate. Under a relatively low confining pressure, these materials tend to fail by brittle …

Irreversible evolution is one of the central concepts as well as implementation challenges of
both the variational approach to fracture by Francfort and Marigo (1998) and its regularized …

This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …

The phase-field method is a very effective way to simulate arbitrary crack nucleation,
propagation, bifurcation, and the formation of complex crack networks. The diffusion-based …

Numerical simulations become a necessity when experimental approaches cannot cover the
required physical and time scale of interest. One of such area is a simulation of long-term …

This manuscript introduces a unified mathematical framework to replicate both desiccation-
induced and hydraulic fracturing in low-permeable unsaturated porous materials observed …

In this work, phase-field modeling of hydraulic fractures in porous media is extended
towards a Global–Local approach. Therein, the failure behavior is solely analyzed in a …