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Multicriterial optimization of composite element reinforced by two families of fibres

Marks M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2006

Vol. 54, nr 4

363-370

The paper deals with a composite element in which the matrix is reinforced with two families of parallel continuous fibres inclined to the x1 axis at the angles v1 and v2. The stress and strain states were determined in an element subjected to normal and tangential loads. The problem of two-criteria optimization is considered. Minimum strain energy and minimum cost of composite element were chosen as criteria. The strain energy is de-termined with respect to the system of principal axes of stress. Three independent variables: the angle directing the first family of fibres, the angle between two families and volume fraction of fibres are selected as the design variables. Examining particular load cases in composites made with epoxy resin reinforced with carbon fibres element s and in high performance fibre reinforced cementitious composite elements, optimum solutions have been determined in the sense of assumed criteria.