Increasing the critical time step: micro-inertia, inertia penalties and mass scaling
From MaRDI portal
Publication:547420
DOI10.1007/s00466-010-0568-zzbMath1398.74297OpenAlexW2085109805MaRDI QIDQ547420
Andy Tyas, Harm Askes, Duc C. D. Nguyen
Publication date: 1 July 2011
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-010-0568-z
Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (13)
A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations ⋮ Variational methods for selective mass scaling ⋮ An ensemble solver for segregated cardiovascular FSI ⋮ Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods ⋮ 8-node solid-shell elements selective mass scaling for explicit dynamic analysis of layered thin-walled structures ⋮ Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling ⋮ Selective mass scaling for distorted solid-shell elements in explicit dynamics: optimal scaling factor and stable time step estimate ⋮ The effects of element shape on the critical time step in explicit time integrators for elasto-dynamics ⋮ A stabilized central difference scheme for dynamic analysis ⋮ Explicit time integration scheme with large time steps for first order transient problems using finite increment calculus ⋮ Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics ⋮ Local and global strategies for optimal selective mass scaling ⋮ Stable implicit time-integration of flexible rotating structures -- explanation for instabilities and concepts for avoidance
Cites Work
- One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
- One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. II: Static and dynamic response
- Selective mass scaling for thin walled structures modeled with tri-linear solid elements
- Continuous models for 1D discrete media valid for higher-frequency domain
- On Timoshenko-Reissner type theories of plates and shells
- The representative volume size in static and dynamic micro-macro transitions
- Modeling micro-inertia in heterogeneous materials under dynamic loading
- Simulation of aluminium sheet forming at elevated temperatures
- Micro-structure in linear elasticity
- Dynamic‐explicit elastic plastic finite‐element simulation of hemispherical punch‐drawing of sheet metal
- DEFORMATION WAVES IN MICROSTRUCTURED SOLIDS AND DISPERSION
- Continuum model of dispersion caused by an inherent material characteristic length
- A Dispersive Model for Wave Propagation in Periodic Heterogeneous Media Based on Homogenization With Multiple Spatial and Temporal Scales
- Implicit Mass-matrix Penalization of Hamiltonian Dynamics with Application to Exact Sampling of Stiff Systems
- Bipenalty method for time domain computational dynamics
- On the dynamic effects of explicit FEM in sheet metal forming analysis
- Non-local dispersive model for wave propagation in heterogeneous media: multi-dimensional case
- On modifications of Newton's second law and linear continuum elastodynamics
- Selective mass scaling for explicit finite element analyses
- Iterative solution technique in selective mass scaling
This page was built for publication: Increasing the critical time step: micro-inertia, inertia penalties and mass scaling
