ON OPTIMAL ORIENTATION OF FIBRES IN DISC ELEMENT

摘要

In the present paper a disc element is considered in which the matrix is reinforced with two families of continuous fibres. The stress and strain states were determined in an element subjected to normal and tangential loads. The minimum strain energy is chosen as the optimization criterion. The strain energy is determined with respect to the system of principal axes of stress. It is shown that for optimal angles of fibres the principal stress directions and the principal strain directions are aligned. Assuming particular cases of loading in the high performance cementitious composite element reinforced by steel fibres the optimal angles of inclination of fibres as well as their dependence on principal stress directions were obtained. The optimal angles of fibre arrangement depend on the material constants of matrix and fibres, on the magnitude of load, and on the volumetric content of fibres.