Shear lag models for stress transfer from an elastic matrix to a fibre in a composite material
Source: International Journal of Materials and Structural Integrity, Volume 1, Numbers 1-3, 31 May 2007 , pp. 180-189(10)
Publisher: Inderscience Publishers
Abstract:A differential equation describes the average axial stress, σf, as a function of length, in a fibre surrounded by an elastic matrix. Expressions for σf and the shear stress between the fibre and the matrix, τ, as a function of length, are solutions to this differential equation. This paper compares the general solution with expressions for σf and τ given by Cox, Nairn and Rosen. Solutions for σf and τ have the same form in all three models. Expressions for σf and τ with the same form given by Cox can be derived without the need to invoke fibre‐fibre interactions.
Document Type: Research Article
Affiliations: 1: Division of Bioengineering, School of Chemical and Biomedical Engineering, Nanyang Technological University, 637457, Singapore. 2: Department of Orthopaedic Surgery, University of Aberdeen, Foresterhill, Aberdeen AB25 2ZD, UK. 3: Department of Mechanical and Manufacturing Engineering, School of Engineering, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
Publication date: 2007-05-31
- International Journal of Materials and Structural Integrity is a fully-refereed journal that aims to provide a unique medium of communication for multidisciplinary approaches, either empirical or theoretical, to the study of materials and structural integrity. Its goals are to promote cross-fertilization of ideas between all the scientific disciplines having to deal with their own materials and structural integrity, including engineering, bionics, physics and chemistry.
International Journal of Materials and Structural Integrity is committed to the highest scientific standards, judging contributions on their contents and scientific value alone, rather than whether methods, questions, style, or language conform to the customs of a particular field.
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