Finite-element analysis of the effect of material properties and fibre shape on stresses in an elastic fibre embedded in an elastic matrix in a fibre-composite material

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 460, Issue 2048, 2004, Pages 2339-2352

  Goh, K L ^a,b   Aspden, R M ^a   Mathias, K J ^a   Hukins, D W L ^a,c  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b CARDIFF UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Composite materials; Fibre composites; Fibre shape; Finite element analysis

Indexed keywords

ARTICLE; CALCULATION; COMPOSITE MATERIAL; ELASTIC FIBER; ELASTICITY; FINITE ELEMENT ANALYSIS; METHODOLOGY; MODEL; QUALITATIVE ANALYSIS; STRESS; YOUNG MODULUS;

EID: 20944438970     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1264     Document Type: Article

References (29)

1. Ashby, M. F., Gibson, L. J., Wegst, U. & Olive, R. 1995 The mechanical properties of natural materials. I. Material property charts. Proc. R. Soc. Lond. A 450, 123-140.
2. Aspden, R. M. 1994 Fibre stress and strain in fibre-reinforced composites. J. Mater. Sci. 29, 1310-1318.
3. Carrara, A. S. & McGarry, F. J. 1968 Matrix and interface stresses in a discontinuous fibre composite model. J. Compos. Mater. 2, 222-241.
4. Cox, H. L. 1952 The elasticity and strength of paper and other fibrous materials. Br. J. Appl. Phys. 3, 72-79.
5. Cusack, S. & Miller, A. 1979 Determination of the elastic constants of collagen by Brillouin light scattering. J. Mol. Biol. 135, 39-51.
6. DeVente, J. E., Lester, G. E., Trotter, J. A. & Dahners, L. E. 1997 Isolation of intact collagen fibrils from healing ligament. J. Electron Microsc. 46, 353-356.
7. Dow, N. F. 1963 Study of stresses near a discontinuity in a filament-reinforced composite material. Report no. R63SD61, Barrington, IL: General Electric.
8. Eshelby, J. D. 1957 The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc. R. Soc. Lond. A 241, 376-396.
9. Galiotis, C., Young, R. J., Yeung, P. H. J. & Batchelder, D. N. 1984 The study of model polydiacetylene/epoxy composites. I. The axial strain in the fibre. J. Mater. Sci. 19, 3640-3648.
10. Goh, K. L. 2001 Fibre reinforcement in fibre composite materials: effect of fibre shape. PhD thesis, University of Aberdeen, UK.
11. Goh, K. L., Aspden, R. M., Mathias, K. J. & Hukins, D. W. L. 1999 Effect of fibre shape on the stresses within fibres in fibre-reinforced composite materials. Proc. R. Soc. Lond. A 455, 3351-3361.
12. Goh, K. L., Mathias, K. J., Aspden, R. M. & Hukins, D. W. L. 2000 Finite element analysis of the effect of fibre shape on stresses in an elastic fibre surrounded by a plastic matrix. J. Mater. Sci. 35, 2493-2497.
13. Hickey, D. S. & Hukins, D. W. L. 1981 Collagen fibril diameters and elastic fibres in human fetal intervertebral disc. J. Anat. 133, 351-357.
14. Holmes, D. F., Chapman, J. A., Prockop, D. J. & Kadler, K. E. 1992 Growing tips of type I collagen fibrils formed in vitro are near-paraboloidal in shape, implying a reciprocal relationship between accretion and diameter. Proc. Natl Acad. Sci. USA 89, 9855-9859.
15. Hooley, C. J. & Cohen, R. E. 1979 A model for the creep behaviour of tendon. Int. J. Biol. Macromol. 1, 123-132.
16. Hukins, D. W. L. 1982 Biomechanical properties of collagen. In Collagen in health and disease (ed. J. B. Weiss & M. I. V. Jayson), pp. 49-72. Edinburgh: Churchill Livingston.
17. Hukins, D. W. L., Weston, S. A., Humphries, M. J. & Freemont, A. J. 1995 Extracellular matrix. In Cellular organelles and the extracellular matrix (ed. E. E. Bittar & N. Bittar). Principles of medical biology, vol. 3, pp. 181-232. Greenwich, CT: JAI Press.
18. Kelly, A. & Macmillan, N. H. 1986 Strong solids, 3rd edn, pp. 240-325. Oxford University Press.
19. Kelly, A. & Tyson, W. R. 1965 Tensile properties of fibre-reinforced metals: copper/tungsten and copper/molybdenum. J. Mech. Phys. Solids 13, 329-350.
20. Lawrence, P. 1972 Some theoretical considerations of fibre pull-out from an elastic matrix. J. Mater. Sci. 7, 1-6.
21. Leahy, J. C. & Hukins, D. W. L. 2001 Viscoelastic properties of the nucleus pulposus of the intervertebral disc in compression. J. Mater. Sci. Mater. Med. 12, 689-692.
22. Nairn, J. A. 1997 On the use of shear-lag methods for analysis of stress transfer in unidirectional composites. Mech. Mater. 26, 63-80.
23. Räisänen, V. I. & Herrmann, H. J. 1999 Stress transfer in dilute short-fibre reinforced composites. J. Mater. Sci. 34, 897-904.
24. Rosen, B. W. 1965 Fibre composite materials, p. 37. Metals Park, OH: American Society for Metals.
25. Schuster, D. M. & Scala, E. 1964 The mechanical interaction of sapphire whiskers with a birefringent matrix. Trans. AIME 230, 1635-1640.
26. Tandon, G. P. & Weng, G. J. 1986 Stress distributions in and around spheroidal inclusions and voids at finite concentrations. J. Appl. Mech. 53, 511-518.
27. Trotter, J. A. & Koob, T. J. 1989 Collagen and proteoglycan in a sea urchin ligament with mutable mechanical properties. Cell Tissue Res. 258, 527-539.
28. Trotter, J. A. & Purslow, P. P. 1992 Functional morphology of the endomysium in series fibered muscles. J. Morphol. 212, 109-122.
29. Trotter, J. A., Thurmond, F. A. & Koob, T. J. 1994 Molecular structure and functional morphology of echinoderm collagen fibrils. Cell Tissue Res. 275, 451-458.