FINGER: A Symbolic System for Automatic Generation of Numerical Programs in Finite Element Analysis
Journal of Symbolic Computation
On numerically accurate finite element solutions in the fully plastic range
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Mixed finite element methods—reduced and selective integration techniques: a unification of concepts
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Computer Methods in Applied Mechanics and Engineering
Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
ACM Transactions on Mathematical Software (TOMS)
Automatic generation of finite-element code by simultaneous optimization of expressions
Theoretical Computer Science - Special volume on computer algebra
Discontinuous enrichment in finite elements with a partition of unity method
Finite Elements in Analysis and Design - Special issue on Robert J. Melosh medal competition
Finite Elements in Analysis and Design
Hi-index | 0.00 |
The XFEM is a powerful method to handle strong discontinuities in a finite element environment, especially in the study of the final stages of material failure, modelling the propagation of cracks, suppressing the need of remeshing. Nevertheless, for some materials undergoing large strain processes without noticeable volume changes, the discretization technique employed must not only describe the material behaviour but also correctly address the incompressibility constraints. In order to develop a robust formulation for this type of problems, an approach based on the analyses of the underlying sub-space of incompressible deformations embedded in the XFEM approximation is used, in the context of both infinitesimal and finite strains. This study motivated the extension of the conventional formulations of B-bar and F-bar to include the XFEM enrichment functions, whose performance is evaluated through some numerical examples and compared with competing methods such as the enhanced strain formulation.