Scale-bridging with the extended/generalized finite element method for linear elastodynamics
DOI10.1007/s00466-021-02032-2zbMath1480.74288OpenAlexW3170152983WikidataQ113326693 ScholiaQ113326693MaRDI QIDQ2666097
Rudy J. M. Geelen, Julia Plews, John E. Dolbow
Publication date: 22 November 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-021-02032-2
wave propagationvariational fracture modelscale-bridgingdynamic multiscale problemextended/generalized finite element methodtime-dependent shape function
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)
Related Items (2)
Cites Work
- Efficient analysis of transient heat transfer problems exhibiting sharp thermal gradients
- Analysis and improvements of global-local enrichments for the generalized finite element method
- Transient analysis of sharp thermal gradients using coarse finite element meshes
- An explicit dynamics extended finite element method. I: Mass lumping for arbitrary enrichment functions
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- Mixed methods for time integration
- Approximation of free-discontinuity problems
- The partition of unity finite element method: basic theory and applications
- Numerical experiments in revisited brittle fracture
- An overview of the modelling of fracture by gradient damage models
- Solving thermal and phase change problems with the extended finite element method
- A phase-field formulation for dynamic cohesive fracture
- Adaptive Galerkin finite element methods for the wave equation
- A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions
- The extended/generalized finite element method: An overview of the method and its applications
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- On time integration in the XFEM
- An Extended Finite Element Method for Two-Phase Fluids
- A Global-Local Approach for the Construction of Enrichment Functions for the Generalized FEM and Its Application to Three-Dimensional Cracks
- Analysis of three-dimensional fracture mechanics problems: A two-scale approach using coarse-generalized FEM meshes
- Mass lumping strategies for X-FEM explicit dynamics: Application to crack propagation
- Stability of explicit‐implicit mesh partitions in time integration
- THE PARTITION OF UNITY METHOD
- A hybrid extended finite element/level set method for modeling phase transformations
- Time-dependent shape functions for modeling highly transient geothermal systems
- A finite element method for crack growth without remeshing
- Variational Mass Lumping in the Partition of Unity Method
- Efficient explicit time stepping for the eXtended Finite Element Method (X‐FEM)
- Arbitrary discontinuities in space–time finite elements by level sets and X‐FEM
- Numerical Integration of On-the-Fly-Computed Enrichment Functions in the PUM
This page was built for publication: Scale-bridging with the extended/generalized finite element method for linear elastodynamics