Engineering Transactions, 44, 1, pp. 55-67, 1996

Boussineq Problem for Elastic Half-Space Reinforced with Fibres in Vertical Direction

R. Świtka
University of Technology and Agriculture, Bydgoszcz
Poland

Solution of Boussinesq problem has been given in the paper for the particular case of the fibrous composite half-space. The continuous medium has been assumed to consists of the matrix reinforced with vertical elastic fibres. The theory of fibrous composites proposed in [10] is used. The results obtained are compared with the Boussinesq formulae. It has been found that the fibrous phase takes over most of the forces transmitted through the half-space.

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References

J .E. ADKINS and R.S. RIVLIN, Large elastic deformation of isotropic materials, X. Reinforcement by inextensible cords, Phil. Trans. R. Soc. London, A.248, 201- 223, 1955.

H. BATEMAN, Tables of integral transforms, McGraw-Hill Book Comp., New York - Toronto - London 1954.

R.M. CHRISTENSEN, Mechanics of composite materials, John Wiley and Sons, New York - Chichester - Brisbane - Toronto 1979.

M.H. DATOO, Mechanics of fibrous composites, Elsevier Applied Science, London - New York 1971.

A.E. GREEN and J.E. ADKINS, Large elastic deformations, Clarendon Press, Oxford 1970.

R.M. JONES, Mechanics of composite materials, McGraw-Hill Book Comp., New York 1975.

J.F. MULHERN, T.G. ROGERS and A.J.M. SPENCER, A continuum model for fibre-reinforced plastic materials, Proc. Roy. Soc., A.301, 473-492, 1967.

W. NOWACKI, Theory of elasticity [in Polish], PWN, Warszawa 1970.

A.C. PIPKIN, Finite deformations of ideal fiber-reinforced composites, [in:] Composite Materials, vol. 2, G.P. SENDECKYJ [Ed.], 251-308, Academic Press, New York and London 1974.

R. ŚWITKA, Thermoelasticity of fiber composites, J. Theoret. and Applied Mech., 33, 2, 385-400, 1995.

S.P. TIMOSHENKO, History of strength of materials, McGraw-Hill Book Comp., New York - Toronto - London 1953.

J.R. VINSON and E.L. SIERAKOWSKI, The behavior of structures composed of composite materials, Martinus Nijhoff Publishers, Dordrecht - Boston - Lancaster 1986.

C. WOŹNIAK, Microdynamics: Continuum modelling the simple composite materials, J. Theoret. and Applied Mech., 33, 2, 267-289, 1995.




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