Load-transfer from fibres to a transversally isotropic layer for non-dilute composites

An asymptotic approach is proposed to describe the load-transfer from a periodical system of fibres to a transversally isotropic elastic layer. To start with we simplified the input boundary value problem by using ratios of the elastic constants as small parameters. The interactions between neighbou...

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Bibliographic Details
Published in:Acta mechanica 2010-06, Vol.212 (1-2), p.115-122
Main Authors: Andrianov, I. V., Danishevs’kyy, V. V., Weichert, D.
Format: Article
Language:English
Subjects:
Analysis
Applied sciences
Asymptotic methods
Asymptotic properties
Boundary value problems
Buildings. Public works
Classical and Continuum Physics
Composite materials
Composite materials industry
Control
Cylinders
Dynamical Systems
Engineering
Engineering Thermodynamics
Exact sciences and technology
Fibers
Fibres
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Geotechnics
Heat and Mass Transfer
Mathematical analysis
Mathematical models
Parameter estimation
Physics
Solid Mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Structure-soil interaction
Theoretical and Applied Mechanics
Transforms
Vibration
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Summary:An asymptotic approach is proposed to describe the load-transfer from a periodical system of fibres to a transversally isotropic elastic layer. To start with we simplified the input boundary value problem by using ratios of the elastic constants as small parameters. The interactions between neighbouring fibres are predicted using the composite cylinder assemblage model. The simplified boundary value problem is solved using finite integral transforms. The inverse transforms are expressed through the elementary and special functions. We also analysed the interface between the fibres and the matrix. The obtained results can be used for the investigation of the fracture of composites. In Civil Engineering, the proposed solution can describe the behaviour of piles or piers embedded in soil media that exhibit linear elastic response in the working-load range.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-009-0241-9