Computational homogenization of higher‐order continua
From MaRDI portal
Publication:6090710
DOI10.1002/nme.6948arXiv2112.04563OpenAlexW4212901646MaRDI QIDQ6090710
M. Krüger, Marc-André Keip, F. Schmidt, Christian Hesch
Publication date: 17 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.04563
representative volume elementmultigrid methodisogeometric analysismultiscale simulationconsistent linearizationenergetic criterion
Homogenization in equilibrium problems of solid mechanics (74Q05) Isogeometric methods applied to problems in solid mechanics (74S22)
Related Items (4)
Mixed strain/stress gradient loadings for FFT-based computational homogenization methods ⋮ Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model ⋮ A hybrid direct \(\mathrm{FE}^2\) method for modeling of multiscale materials and structures with strain localization ⋮ Efficient multiscale modeling of heterogeneous materials using deep neural networks
Cites Work
- Unnamed Item
- Unnamed Item
- A multi-field incremental variational framework for gradient-extended standard dissipative solids
- Geometrically nonlinear higher-gradient elasticity with energetic boundaries
- Two-scale modelling of micromorphic continua. A numerical homogenization scheme
- Isogeometric analysis of 2D gradient elasticity
- A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms
- Bounds on the non-local effective elastic properties of composites
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Elastic materials with couple-stresses
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Microstructural effects in elastic composites
- A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
- \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
- A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
- A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model
- Two-scale computational homogenization of electro-elasticity at finite strains
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- The physics of plastic deformation
- Two-scale homogenization of electromechanically coupled boundary value problems
- Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
- Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling
- Cosserat overall modeling of heterogeneous materials
- A strain-gradient formulation for fiber reinforced polymers: hybrid phase-field model for porous-ductile fracture
- Multi-patch isogeometric analysis for Kirchhoff-Love shell elements
- Crosspoint modification for multi-patch isogeometric analysis
- Multidimensional coupling: a variationally consistent approach to fiber-reinforced materials
- Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements
- Theories of elasticity with couple-stress
- Two-scale FE-FFT- and phase-field-based computational modeling of bulk microstructural evolution and macroscopic material behavior
- On first strain-gradient theories in linear elasticity
- Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- Micromorphic computational homogenization for mechanical metamaterials with patterning fluctuation fields
- Cosserat Media
- A multiscale approach to the computational characterization of magnetorheological elastomers
- Homogenization method for the study of composite media
- Generalized continua and non-homogeneous boundary conditions in homogenisation methods
- Second‐order computational homogenization of heterogeneous materials with periodic microstructure
- Determination of closed form expressions of the second-gradient elastic moduli of multi-layer composites using the periodic unfolding method
- Finite elements for elasticity with microstructure and gradient elasticity
- Mixed and Hybrid Finite Element Methods
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
- Isogeometric Analysis
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- Homogenization methods and mechanics of generalized continua - part 2
- The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
- Second gradient homogenization of multilayered composites based on the method of oscillating functions
- A micromechanically based couple-stress model of an elastic two-phase composite
- An approach to micro-macro modeling of heterogeneous materials
This page was built for publication: Computational homogenization of higher‐order continua
