Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study

DOI10.1007/s00791-015-0257-8zbMath1388.74086OpenAlexW2275901497MaRDI QIDQ1685062

Raimondo Penta, Alf Gerisch

Publication date: 13 December 2017

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-015-0257-8

zbMATH Keywords

anisotropic elasticityEshelby inclusioncomputational modelingmultiscale asymptoticsheterogeneous compositeshierarchical hard tissues

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (20)

The asymptotic homogenization elasticity tensor properties for composites with material discontinuities ⋮ Influence of asymptotically-limiting micromechanical properties on the effective behaviour of fibre-supported composite materials ⋮ Effective balance equations for elastic composites subject to inhomogeneous potentials ⋮ Effective governing equations for heterogenous porous media subject to inhomogeneous body forces ⋮ Hierarchical heterogeneous one-dimensional problem in linear viscoelastic media ⋮ Effective balance equations for poroelastic composites ⋮ The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials ⋮ Effective properties of centro-symmetric micropolar composites with non-uniform imperfect contact conditions ⋮ Homogenization approaches for the effective characteristics of fractional visco-piezoelastic fibrous composites ⋮ Homogenized modeling for vascularized poroelastic materials ⋮ Homogenized out-of-plane shear response of three-scale fiber-reinforced composites ⋮ Effective properties of fractional viscoelastic composites via two‐scale asymptotic homogenization ⋮ Micromechanical analysis of the effective stiffness of poroelastic composites ⋮ The role of malignant tissue on the thermal distribution of cancerous breast ⋮ Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach ⋮ Multiscale Homogenization for Linear Mechanics ⋮ Double poroelasticity derived from the microstructure ⋮ Multiscale analysis for predicting the constitutive tensor effective coefficients of layered composites with micro and macro failures ⋮ Effective equations governing an active poroelastic medium ⋮ Effective balance equations for electrostrictive composites

Uses Software

• VCFEM-HOMO

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves
• Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. I: Theory
• An introduction to computational micromechanics.
• Non-homogeneous media and vibration theory
• Hill condition and overall properties of composites
• Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and Voronoi cell finite element model
• A numerical approximation to the elastic properties of sphere-reinforced composites.
• Elasticity with MATHEMATICA^®
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Poroelasticity equations derived from microstructure
• Homogenization and Two-Scale Convergence
• The Theory of Composites
• Multiscale homogenization for fluid and drug transport in vascularized malignant tissues
• Effective governing equations for poroelastic growing media
• Topics in the mathematical modelling of composite materials

This page was built for publication: Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study