journal article·1999-01

Finite Elastic Deformations of a Tyre Modelled as an Ideal Fibre-Reinforced Shell

A.H. England

Journal of Elasticity· Volume 54· Issue 1
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Abstract

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Research context

OpenAlex topics: Composite Material Mechanics · Fatigue and fracture mechanics · Mechanical Behavior of Composites

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References (21)

Show source-provided references
1. S.K. Clark, Mechanics of Pneumatic Tyres. U.S. Department of Transport, Washington (Ref HS 805 952) (1981).
2. T. French, Tyre Technology. Adam Hilger, Bristol and New York (1989).
3. A.J.M. Spencer, Deformations of Fibre-Reinforced Materials. Oxford University Press, London (1972).
4. J.F. Mulhern, T.G Rogers and A.J.M. Spencer, A continuum model for fibre-reinforced plastic materials. Proc. Roy. Soc. Lond. A 301 (1967) 473-492.10.1098/rspa.1967.0220 ↗
5. A.C. Pipkin and T.G Rogers, Plane deformations of incompressible fibre-reinforced materials. J. Appl. Mech. 38 (1971) 634-640.10.1115/1.3408866 ↗
6. A.C. Pipkin, Composite materials. In: G.P. Sendeckyj (ed.), Micromechanics, Vol. II. Academic Press, New York (1974) pp. 251-308.
7. T.G Rogers, Finite plane deformations of strongly anisotropic materials. In: Hutton, Pearson and Walters (eds), Theoretical Rheology. Applied Science Publishers, London (1975) pp. 141-168.
8. A.J.M. Spencer (ed.), Continuum Theory of the Mechanics of Fibre-Reinforced Composites. Springer-Verlag, Wien, New York (1984).
9. I.D.R. Bradford, A.H. England and T.G. Rogers, Finite deformations of a fibre-reinforced cantilever; point force solutions. Acta Mechanica 91 (1992) 77-95.10.1007/BF01194034 ↗
10. A.H England, T.G. Rogers and I.D.R. Bradford, Finite deformations of a fibre-reinforced cantilever: Distributed-load solutions. Q. J. Mech. Appl. Math. 45 (1992) 711-732.10.1093/qjmam/45.4.711 ↗
11. A.H. England and T.G. Rogers, Loading and unloading of an elastic-plastic fibre-reinforced cantilever. Mech. Res. Comm. 19 (1992) 333-340.10.1016/0093-6413(92)90052-C ↗
12. A.H England, T.G. Rogers and P.W. Gregory, Reverse plastic yield in the unloading of highly anisotropic elastic-plastic cantilevers. Materials Science Forum 123–125 (1993) 215-224.10.4028/www.scientific.net/MSF.123-125.215 ↗
13. A.H. England, P.W. Gregory and T.G. Rogers, Finite elastic-plastic deformations of an ideal fibre-reinforced beam bent around a cylinder. Z. angew. Math. Phys. 46 (1995) 401-426.
14. T.G. Rogers, I.D.R. Bradford and A.H. England, Finite plane deformations of highly anisotropic elastic-plastic plates and shells. J. Mech. Phys. Solids 40 (1992) 1595-1606.10.1016/0022-5096(92)90039-5 ↗
15. P.W. Gregory, T.G. Rogers and A.H. England, Loading and unloading of highly anisotropic elastic-plastic beams. J. Mech. Phys. Solids 42 (1994) 1019-1046.10.1016/0022-5096(94)90082-5 ↗
16. L.R.G. Treloar, The Physics of Rubber Elasticity, Oxford University Press (1958).
17. M. Nakajima and M. Kurashige, Finite plane deformation of an ideal fibre-reinforced material (experimental examination). Japan Soc. Mech. Eng. Int. J. 32 (1989) 396-402.
18. T.G. Rogers and A.C. Pipkin, Finite lateral compression of a fibre-reinforced tube. Quart. J. Mech. Appl. Math. 24 (1971) 311-330.10.1093/qjmam/24.3.311 ↗
19. A.H. England and P.W. Gregory, Finite lateral compression of an elastic-plastic fibre-reinforced tube: Loading solutions. J. Mech. Phys. Solids 47 (1999) 371-395.10.1016/S0022-5096(97)00067-7 ↗
20. A.C. Pipkin, Energy changes in ideal fibre-reinforced composites. Quart. Appl.Math. 35 (1978) 455-463.10.1090/qam/489208 ↗
21. A.H. England, Finite elastic deformations of a thick semicircular fibre-reinforced shell, To appear in J. Engineering Math.