3D NURBS-enhanced finite element method (NEFEM)

A NURBS-enhanced Discontinuity-Enriched Finite Element Method

Generalized finite element methods have proved a great potential in the mesh-independent modeling of both weak and strong discontinuities, such as the ones encountered when treating materials with inclusions or cracks. By removing the constraint of a conforming mesh, more freedom is offered to modeling exact geometries by means of splines. However, very few studies have been published which com...

NURBS-Based Adaptive Finite Element Analysis

An Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements

In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...

A NURBS-based generalized finite element scheme for 3D simulation of heterogeneous materials

Article history: Received 23 June 2015 Received in revised form 21 April 2016 Accepted 2 May 2016 Available online 6 May 2016

A NURBS Enhanced eXtended Finite Element Approach for Unfitted CAD Analysis

SUMMARY A NURBS Enhanced eXtended Finite Element Approach is proposed for the unfitted simulation of structures defined by means of CAD parametric surfaces. In contrast to classical X-FEM that uses levelsets to define the geometry of the computational domain, exact CAD description is considered here. Following the ideas developed in the context of the NURBS-Enhanced Finite Element Method, NURBS...