BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 54, Issue 4, December 2006

Civil Engineering and Electronics

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pp 363 - 370

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Multicriterial optimization of composite element reinforcedby two families of fibres

M. MARKS
 
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 n1 and n2. 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 determined 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 elements and in high performance fibre reinforced cementitious composite elements, optimum solutions have been determined in the sense of assumed criteria.
  
Key words: 

multicriterial optimization, composite element with two non-orthogonal families of fibres, minimum strain energy


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