Homogenization assumptions for coupled multiscale analysis of structural elements: beam kinematics

DOI10.1007/s00466-019-01787-zzbMath1477.74095OpenAlexW2984400127WikidataQ113327024 ScholiaQ113327024MaRDI QIDQ2665056

S. Klarmann, S. Klinkel, Friedrich Gruttmann

Publication date: 18 November 2021

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-019-01787-z

zbMATH Keywords

homogenizationnonlinearityrepresentative volume elementmultiscale methodHill-Mandel conditionbeam structural element

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (8)

A kinematically consistent second-order computational homogenisation framework for thick shell models ⋮ Two-scale off-and online approaches to geometrically exact elastoplastic rods ⋮ Variationally consistent homogenisation of plates ⋮ Coupling 2D continuum and beam elements: a mixed formulation for avoiding spurious stresses ⋮ A new homogenization scheme for beam and plate structures without a priori requirements on boundary conditions ⋮ Multiscale modeling of laminated thin-shell structures with direct \(\mathrm{FE}^2\) ⋮ Multiscale computational homogenisation of shear-flexible beam elements: a direct \(\mathrm{FE}^2\) approach ⋮ Data-driven multiscale method for composite plates

Cites Work

• Unnamed Item
• Unnamed Item
• A mixed hybrid finite beam element with an interface to arbitrary three-dimensional material models
• A nonlinear hu-washizu variational formulation and related finite-element implementation for spatial beams with arbitrary moderate thick cross-sections
• Shear correction factors for layered plates and shells
• A geometrically-exact rod model incorporating shear and torsion-warping deformation
• \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
• A geometrical nonlinear eccentric 3D-beam element with arbitrary cross-sections
• Theory and numerics of layered shells with variationally embedded interlaminar stresses
• Computational homogenization of periodic beam-like structures
• On micro--macro interface conditions for micro scale based FEM for inelastic behavior of heterogeneous materials
• A coupled two-scale shell model with applications to layered structures
• Computational homogenization for heterogeneous thin sheets
• Shear correction factors for plates and shells
• Using finite strain 3D‐material models in beam and shell elements
• Finite element analysis of Saint-Venant torsion problem with exact integration of the elastic-plastic constitutive equations
• Shear correction factors in Timoshenko's beam theory for arbitrary shaped cross-sections
• Higher-order effective modeling of periodic heterogeneous beams. I: Asymptotic expansion method. II: Derivation of the proper boundary conditions for the interior asymptotic solution

This page was built for publication: Homogenization assumptions for coupled multiscale analysis of structural elements: beam kinematics