TITLE

# Boundary Layers in Fibre Composite Materials

AUTHOR(S)
Andrianov, Igor V.; Danishevs'kyy, Vladyslav V.; Weichert, Dieter
PUB. DATE
September 2009
SOURCE
AIP Conference Proceedings;9/9/2009, Vol. 1168 Issue 1, p852
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
While asymptotic homogenization leads to a much simpler problem for an equivalent homogeneous material with certain effective properties, the construction of a solution in the vicinity of the boundary of the original composite solid remains beyond capabilities of the classical homogenization. In order to determine stresses and strains near the boundary, a boundary layer problem should be considered in extension to the asymptotic homogenization. A boundary layer method is used in this paper to solve problems of fibre reinforced periodic composites.
ACCESSION #
44169396

## Related Articles

• Influence of boundary conditions on the response of multilayered plates with cohesive interfaces and delaminations using a homogenized approach. Massabò, R. // Frattura e Integrita Strutturale;2014, Issue 29, p230

Stress and displacement fields in multilayered composites with interfacial imperfections, such as imperfect bonding of the layers or delaminations, or where the plies are separated by thin interlayers allowing relative motion, have large variations in the thickness, with characteristic zigzag...

• Fracture analysis of materials with periodic microstructure by the representative cell method. Ryvkin, Michael; Fuchs, Moshe B.; Lipperman, Fabian; Kucherov, Leonid // International Journal of Fracture;Jul/Aug2004, Vol. 128 Issue 1-4, p215

The periodic structure of some natural and especially man-made materials can be manifested not only on an atomic but also on a larger scale. Investigation of mechanical properties of these materials usually hinges on well-developed homogenization methods. On the other hand, these methods are not...

• Stress analysis of multi-layered hollow anisotropic composite cylindrical structures using the homogenization method. Sun, X.; Tan, V.; Chen, Y.; Tan, L.; Jaiman, R.; Tay, T. // Acta Mechanica;Jun2014, Vol. 225 Issue 6, p1649

This paper presents a general and efficient stress analysis strategy for hollow composite cylindrical structures consisting of multiple layers of different anisotropic materials subjected to different loads. Cylindrical material anisotropy and various loading conditions are considered in the...

• Mixed boundary conditions for FFT-based homogenization at finite strains. Kabel, Matthias; Fliegener, Sascha; Schneider, Matti // Computational Mechanics;Feb2016, Vol. 57 Issue 2, p193

In this article we introduce a Lippmann-Schwinger formulation for the unit cell problem of periodic homogenization of elasticity at finite strains incorporating arbitrary mixed boundary conditions. Such problems occur frequently, for instance when validating computational results with tensile...

• On Micro-Buckling of Unidirectional Fiber-Reinforced Composites by Means of Computational Micromechanics. Barulich, Néstor D.; Godoy, Luis A.; Barbero, Ever J. // Latin American Journal of Solids & Structures;2016, Vol. 13 Issue 16, p2785

Micro-buckling of unidirectional fiber-reinforced composites is investigated in this paper by means of an explicit representation of a geometrically imperfect fiber within the context of kinematical and material non-linear behavior. Two types of fiber imperfections are considered: a helicoidal...

• Two-Scale Î“-Convergence of Integral Functionals and its Application to Homogenisation of Nonlinear High-Contrast Periodic Composites. Cherdantsev, M.; Cherednichenko, K. // Archive for Rational Mechanics & Analysis;May2012, Vol. 204 Issue 2, p445

An analytical framework is developed for passing to the homogenisation limit in (not necessarily convex) variational problems for composites whose material properties oscillate with a small period Îµ and that exhibit high contrast of order $${\varepsilon^{-1}}$$ between the constitutive,...

• The Representative Volume Size in Static and Dynamic Micro-Macro Transitions. Gitman, Inna M.; Askes, Harm; Aifantis, Elias C. // International Journal of Fracture;Sep2005, Vol. 135 Issue 1-4, pL3

Two homogenisation schemes (first-order or local, and second-order or non-local) are employed in this paper. In case second-order homogenisation is applied, it turns out that elastic behaviour at the micro-scale implies the appearance of second-order space and time derivatives of macroscopic...

• Homogenization of viscoelastic composites with fibres of diamond-shaped cross-section. Andrianov, Igor; Danishevs'kyy, Vladyslav; Kholod, Elena // Acta Mechanica;May2012, Vol. 223 Issue 5, p1093

The present paper provides details on the application of asymptotic homogenization techniques to the analysis of viscoelastic composite materials with fibres of diamond-shaped cross-section. The Correspondence principle allows transforming the governing boundary value problems to quasistatic...

• Influence of structural parameters of the masonry on effective elastic properties and strength. Grishchenko, A. I.; Semenov, A. S.; Semenov, S. G.; Melnikov, B. E. // Magazine of Civil Engineering;2014, Issue 5, p95

Two phase masonry model, which contains elastic mortar and elastic bricks, is analyzed numerically in order to evaluate sensitivity of effective elastic moduli and strength properties to a deviation in the masonry structural parameters. Different methods of masonry homogenization are studied....

Share