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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(4):489-504; doi:10.1093/qjmam/23.4.489
© 1970 by Oxford University Press
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A CONTINUUM THEORY OF A PLASTIC-RIGID SOLID REINFORCED BY TWO FAMILIES OF INEXTENSIBLE FIBRES

G. E. SMITH and A. J. M. SPENCER

( Department of Theoretical Mechanics, University of Nottingham )

A continuom model is proposed for describing the mechanical behaviour of a plastic-rigid material reinforced by two families of inextensible fibres. The kinematic properties, yield condition and flow rule which are appropriate for such a material are developed in detail. The theory is illustrated by its application to problems of homogeneous deformation and to the expansion and extension of a circular cylinder reinforced by helical fibres.


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