A new homogenization scheme for beam and plate structures without a priori requirements on boundary conditions

DOI10.1007/s00466-022-02219-1OpenAlexW4294724019MaRDI QIDQ2683295

S. Klarmann, Maximilian Müller, Friedrich Gruttmann

Publication date: 10 February 2023

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

Full work available at URL: https://doi.org/10.1007/s00466-022-02219-1

zbMATH Keywords

finite element methodrepresentative volume element sizefirst-order homogenization algorithmHill-Mandel methodIrving-Kirkwood theorynodal degree of freedom

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (2)

FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure ⋮ Variationally consistent homogenisation of plates

Uses Software

• ABAQUS
• FEAP

Cites Work

• Computational homogenisation of composite plates: consideration of the thickness change with a modified projection strategy
• Multi-scale computational homogenization: trends and challenges
• Generalized beam theory applied to shear stiffness
• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
• Novel formulations of microscopic boundary-value problems in continuous multiscale finite element methods
• Homogenization assumptions for coupled multiscale analysis of structural elements: beam kinematics
• A coupled two-scale shell model with applications to layered structures
• Shear Coefficients for Timoshenko Beam Theory
• Shear correction factors for plates and shells
• A homogenization method for thermomechanical continua using extensive physical quantities
• The Shear Coefficient in Timoshenko’s Beam Theory
• Shear correction factors in Timoshenko's beam theory for arbitrary shaped cross-sections

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