In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

In this paper, we develop a dual‐horizon peridynamics (DH‐PD) formulation that naturally
includes varying horizon sizes and completely solves the 'ghost force'issue. Therefore, the …

This paper proposes a phase field model for fracture in poroelastic media. The porous
medium is modeled based on the classical Biot poroelasticity theory and the fracture …

In the hydraulic fracturing of natural rocks, understanding and predicting crack penetrations
into the neighboring layers is crucial and relevant in terms of cost-efficiency in engineering …

We present a phase-field model for fracture in Kirchoff–Love thin shells using the local
maximum-entropy (LME) meshfree method. Since the crack is a natural outcome of the …

A micro-mechanical based numerical manifold method (NMM) is proposed in this study to
investigate the micro-mechanisms underlying rock macroscopic response and fracture …

The mechanical behavior of rock is strongly dependent on its embedded discontinuities
such as cracks and joints. Natural rock joints are found to exist mostly with filling materials …

We propose a coarse-graining technique to reduce a given atomistic model into an
equivalent coarse grained continuum model. The developed technique is tailored for …

The aim of this study is to understand the effects of micro-heterogeneity, such as grain size,
morphology and mineralogy, on the initiation, propagation and coalescence of microcracks …

Over the past twenty years, there has been a growing interest in the development of
numerical models that can realistically capture the progressive failure of rock masses. In …