An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

The purpose of this review paper is to present the techniques, advances, problems and
likely future developments in numerical modelling for rock mechanics. Such modelling is …

In this paper, we present a dual-horizon peridynamics formulation which allows for
simulations with dual-horizon with minimal spurious wave reflection. We prove the general …

详细论述了近年来迅速发展的无网格法的理论基础及其在各个领域内的应用.
无网格法网格依赖性弱, 避免了传统的有限元, 边界元等基于网格的数值方法中可能出现的网格 …

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 …

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 …

In this paper, we propose an explicit phase field model for dynamic brittle fracture. The
mechanical field is integrated with a Verlet-velocity scheme, while the phase field is …

A new robust and efficient approach for modeling discrete cracks in meshfree methods is
described. The method is motivated by the cracking-particle method (Rabczuk T., Belytschko …

The extended finite element method allows one to model displacement discontinuities which
do not conform to interelement surfaces. This method is applied to modeling growth of …

The extended and generalized finite element methods are reviewed with an emphasis on
their applications to problems in material science:(1) fracture,(2) dislocations,(3) grain …