On the homogenization analysis of composite materials based on discretized fluctations on the micro-structure

DOI10.1007/BF01170836zbMath1008.74070OpenAlexW2090530403MaRDI QIDQ698287

Jörg Schröder, C. Bayreuther, Christian Miehe

Publication date: 18 September 2002

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170836

zbMATH Keywords

finite element methodboundary value problemperiodic microstructurefluctuation fieldlinear composite materialmacroscopic elastic moduli

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (12)

Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method ⋮ An offline-online homogenization strategy to solve quasilinear two-scale problems at the cost of one-scale problems ⋮ Higher order asymptotic homogenization and wave propagation in periodic composite materials ⋮ A two-dimensional homogenized model for a pile of thin elastic sheets with frictional contact ⋮ Adaptive finite element heterogeneous multiscale method for homogenization problems ⋮ Analytical and numerical analysis of 3D grid-reinforced orthotropic composite structures ⋮ A finite deformation electro-mechanically coupled computational multiscale formulation for electrical conductors ⋮ Homogenization of a 1D nonlinear dynamical problem for periodic composites ⋮ Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear ⋮ Multiscale computational homogenization: review and proposal of a new enhanced-first-order method ⋮ Contribution of the reflection to the attenuation properties of cancellous bone ⋮ Konzept zur Bestimmung makroskopischer Moduli von Verbundmaterialien

Cites Work

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• Analysis of Composite Materials—A Survey
• Variational and Related Methods for the Overall Properties of Composites
• Homogenization and effective elastoplasticity models for periodic composites
• On constitutive macro-variables for heterogeneous solids at finite strain

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