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 …

This paper presents a procedure to build enrichment functions for partition of unity methods
like the generalized finite element method and the hp cloud method. The procedure …

This paper presents a generalized finite element method (GFEM) based on the solution of
interdependent global (structural) and local (crack)‐scale problems. The local problems …

An extended/generalized finite element method (XFEM/GFEM) for simulating quasistatic
crack growth based on a phase‐field method is presented. The method relies on …

In this paper, heat transfer problems exhibiting sharp thermal gradients are analyzed using
the classical and generalized finite element methods. The effect of solution roughness on …

This paper presents a multiscale computational framework able to resolve localized defects
and features such as cracks and welds in large structures. It couples Abaqus models and 3 …

This paper presents a generalized FEM based on the solution of interdependent coarse‐
scale (global) and fine‐scale (local) problems in order to resolve multiscale effects due to …

This paper investigates the application of the generalized finite element method with global–
local enrichments (GFEMgl) to problems of transient heat transfer involving localized …

The diameter of spot welds used in the automotive and aerospace industry is orders of
magnitude smaller than the dimensions of the structural components. Automotive bodies …

This paper presents an analysis of interacting cracks using a generalized finite element
method (GFEM) enriched with so-called global-local functions. In this approach, solutions of …