The three-part paper deals with energy-minimal multiple crack propagation in a linear elastic
solid under quasi-static conditions. The principle of minimum total energy, ie the sum of the …

In this paper, a novel 3D conjugated bond-pair-based peridynamic model is proposed to
simulate the initiation and propagation of cracks in brittle solids. In the proposed numerical …

Extracting gas from shale rocks is one of the current engineering challenges but offers the
prospect of cheap gas. Part of the development of an effective engineering solution for shale …

In this article, we focus on the validation of Francfort and Marigo's variational approach to
fracture based on some classical fracture experiments. We show that this approach can be …

A model is presented that accurately describes brittle failure in the presence of cohesive
forces, with a particular focus on the prediction of non planar crack paths. In comparison with …

We propose a method for simulating linear elastic crack growth through an isogeometric
boundary element method directly from a CAD model and without any mesh generation. To …

The material point method for the analysis of deformable bodies is revisited and originally
upgraded to simulate crack propagation in brittle media. In this setting, phase‐field …

This study employs the numerical analysis and experimental testing to analyze the fracturing
mechanics and the size of rock cones formed in the pull-out of a system of three undercut …

A method for three-dimensional crack propagation by the numerical manifold method (NMM)
is analyzed. With the help of mathematical cover and physical cover, no Heaviside function …

This paper proposes two different phase-field models for brittle dynamic fracture using the
explicit material point method (MPM). Based on the consistent stiffness matrix, Model I …