Solution of linear elastodynamics problems with space-time finite elements on structured and unstructured meshes
From MaRDI portal
Publication:1033196
DOI10.1016/j.cma.2006.09.019zbMath1173.74427OpenAlexW2038702022MaRDI QIDQ1033196
Publication date: 6 November 2009
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2006.09.019
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (19)
A space-time discontinuous Galerkin method for the elastic wave equation ⋮ A new exact, closed-form a priori global error estimator for second- and higher-order time-integration methods for linear elastodynamics ⋮ Galerkin-based mechanical integrators for finite elastodynamics formulated in principal stretches - Pitfalls and remedies ⋮ Imposition of time-dependent boundary conditions in FEM formulations for elastodynamics: Critical assessment of penalty-type methods ⋮ Convolution finite element method: an alternative approach for time integration and time-marching algorithms ⋮ Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation ⋮ Numerical damping of spurious oscillations: a comparison between the bulk viscosity method and the explicit dissipative Tchamwa-Wielgosz scheme ⋮ Finite elements in space and time for the analysis of generalised visco-elastic materials ⋮ A simultaneous space‐time discretization approach to the inverse dynamics of geometrically exact strings ⋮ Use of post-processing to increase the order of accuracy of the trapezoidal rule at time integration of linear elastodynamics problems ⋮ A cVEM-DG space-time method for the dissipative wave equation ⋮ Modeling transient elastodynamic problems using a novel semi-analytical method yielding decoupled partial differential equations ⋮ A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems ⋮ Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems ⋮ Accurate finite element modeling of linear elastodynamics problems with the reduced dispersion error ⋮ The extended finite element method with novel crack-tip enrichment functions for dynamic fracture analysis of interfacial cracks in piezoelectric-piezomagnetic bi-layered structures ⋮ A Newmark space-time formulation in structural dynamics ⋮ A numerical verification for an unconditionally stable FEM for elastodynamics ⋮ Benchmark problems for wave propagation in elastic materials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Space-time finite element methods for second-order hyperbolic equations
- Discontinuity-capturing operators for elastodynamics
- An implicit multi-time step integration method for structural dynamics problems
- Asynchronous variational integrators
- Iterative solutions for implicit time discontinuous Galerkin methods applied to nonlinear elastodynamics
- A multi-time step integration algorithm for structural dynamics based on the modified trapezoidal rule
- Space-time finite element methods for elastodynamics: Formulations and error estimates
- Time discretized operators. I: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics.
- Time discretized operators. II: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics.
- Implementation and adaptivity of a space-time finite element method for structural dynamics
- Formulation and analysis of variational methods for time integration of linear elastodynamics
- SPACE-TIME MIXED FINITE ELEMENTS FOR RODS
- Explicit-explicit subcycling with non-integer time step ratios for structural dynamic systems
- Triangular and tetrahedral space-time finite elements in vibration analysis
- Time finite element methods for structural dynamics
- Application of Triangular Space-Time Finite Elements to Problems of Wave Propagation
- Explicit Finite Element Methods for Symmetric Hyperbolic Equations
- STRUCTURAL DYNAMIC ANALYSIS BY A TIME-DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD
- The use of ADINA for analysis of mines with explosive fills
- Adaptive finite element procedures for linear and non-linear dynamics
- MIXED TIME FINITE ELEMENTS FOR VIBRATION RESPONSE ANALYSIS
- Finite-element analysis of time-dependent phenomena.
- A general theory of finite elements. II. Applications
- Stability of an explicit multi-time step integration algorithm for linear structural dynamics equations
This page was built for publication: Solution of linear elastodynamics problems with space-time finite elements on structured and unstructured meshes
