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

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 …

This paper presents a modified regularized formulation of the Ambrosio–Tortorelli type to
introduce the crack non-interpenetration condition in the variational approach to fracture …

扩展有限元法(extended finite element method, XFEM) 是1999 年提出的一种求解不连续力学
问题的数值方法, 它继承了常规有限元法(CFEM) 的所有优点, 在模拟界面, 裂纹生长 …

In this paper, we present a self-propagating Strong Discontinuity embedded Approach
(SDA) for quasi-brittle fracture. The method is based on the Statically Optimal Symmetric …

This important textbook provides an introduction to the concepts of the newly developed
extended finite element method (XFEM) for fracture analysis of structures, as well as for …

An overview of computational methods to model fracture in brittle and quasi‐brittle materials
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …

Peridynamics is a reformulated theory of classical continuum mechanics, and it remains
valid at discontinuities. However, peridynamics compared to the finite element method …

A comparative study on finite elements for capturing strong discontinuities by means of
elemental (E-FEM) or nodal enrichments (X-FEM) is presented. Based on the same …

Abstract The Strong Discontinuity embedded Approach (SDA) has proved to be a robust
numerical method for simulating fracture of quasi-brittle materials such as glass and …