Hyper-reduction of generalized continua
DOI10.1007/s00466-016-1371-2zbMath1398.74337OpenAlexW2582141352WikidataQ113327442 ScholiaQ113327442MaRDI QIDQ1705161
Samuel Forest, Martin Horák, David Ryckelynck
Publication date: 14 March 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-016-1371-2
PODCosserat continuumreduced order modelinggeneralized continuamicromorphic continuahyper-reductionreduced integration domain
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Micromechanical theories (74A60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Model reduction in elastoplasticity: proper orthogonal decomposition combined with adaptive sub-structuring
- A priori hyperreduction method: an adaptive approach
- Nonlinear microstrain theories
- Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations
- High-performance model reduction techniques in computational multiscale homogenization
- GPU accelerated computational homogenization based on a variational approach in a reduced basis framework
- Matrix representations for 3D strain-gradient elasticity
- Micromorphic continuum modelling of the deformation and fracture behaviour of nickel foams
- Advanced proper orthogonal decomposition tools: Using reduced order models to identify normal modes of vibration and slow invariant manifolds in the dynamics of planar nonlinear rods
- Nonlinear theory of simple micro-elastic solids. I
- An incorrect inequality in micropolar elasticity theory
- A continuum theory for granular materials
- Micro-structure in linear elasticity
- Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Hyper-reduction of mechanical models involving internal variables
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
- A reduced-basis element method
- Design of object oriented finite element code
This page was built for publication: Hyper-reduction of generalized continua
