Effects of nano-voids and nano-cracks on the elastic properties of a host medium: XFEM modeling with the level-set function and free surface energy

DOI10.1007/s10409-019-00843-4zbMath1483.74086OpenAlexW2940041940MaRDI QIDQ2077221

Dahmane Hachi, Mohammed Riad Kired, Mohamed Haboussi, Brahim El Khalil Hachi

Publication date: 24 February 2022

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

Full work available at URL: https://doi.org/10.1007/s10409-019-00843-4

zbMATH Keywords

surface energyperiodic homogenizationXFEMinterface energylevel-set functionnano-cracksnano-cavitiesnano-heterogeneitiesnano-inclusionsnano-voids

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Fracture and damage (74R99)

Related Items (1)

Some investigations on 3D homogenization of nano-composite/nano-porous materials with surface effect by FEM/XFEM methods combined with level-set technique

Cites Work

• Estimation of the effective thermoelastic moduli of fibrous nanocomposites with cylindrically anisotropic phases
• An XFEM/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites
• A continuum theory of elastic material surfaces
• The effect of spatial distribution on the effective behavior of composite materials and cracked media
• A computational approach to handle complex microstructure geometries.
• A prediction model for the effective thermal conductivity of nanofluids considering agglomeration and the radial distribution function of nanoparticles
• XFEM modeling of ultrasonic wave propagation in polymer matrix particulate/fibrous composites
• A novel implementation algorithm of asymptotic homogenization for predicting the effective coefficient of thermal expansion of periodic composite materials
• Effect of crack orientation statistics on effective stiffness of mircocracked solid
• A multiple level set approach to prevent numerical artefacts in complex microstructures with nearby inclusions within XFEM
• A crack with surface effects in a piezoelectric material
• Modeling holes and inclusions by level sets in the extended finite element method

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