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Tytuł artykułu

Multicriterial optimization of composite element reinforced by two families of fibres

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
363--370
Opis fizyczny
Bibliogr. 14 poz., rys.
Twórcy
autor
  • Institute of Fundamental Technological Research, Polish Academy of Sciences, 21 Świę-tokrzyska St., 00-049 Warsaw, Poland, mmarks@ippt.gov.pl
Bibliografia
  • [1] N.V. Banichuk, “Optimization problems for elastic anisotropic bodies”, Arch. Mech. 33 (3), 347–363 (1981).
  • [2] P. Pedersen, “On optimal orientation of orthotropic materials”, Struct. Optim. 1, 101–106 (1989).
  • [3] P. Pedersen, “Bounds on elastic energy in solids of orthotropic materials”, Struct. Optim. 2, 55–63 (1990).
  • [4] P. Pedersen, “On thickness and orientational design with orthotropic materials”, Struct. Optim. 3, 69–78 (1991).
  • [5] G. Sacchi Landriani and M. Rovati, “Optimal design of twodimensional structures made of composite materials”, J. Eng. Materials and Technology 113, 88–92 (1991).
  • [6] P. Pedersen and M.P. Bendsoe, “On strain-stress fields resulting from optimal orientation”, Proc. WCSMO 1, 243–250 (1995).
  • [7] G. Cheng and P.Pedersen, “On sufficiency conditions for optimal design based on ekstremum principles of mechanics”, J. Mech. Phys. Solids 45 (1), 135–150 (1997).
  • [8] M. Marks, “Composite elements of minimum deformability reinforced with two families of fibres”, Engineering Trans 36 (3), 541–562 (1988), (in Polish).
  • [9] M. Marks, “Fibre-reinforced composite element of minimum deformability”, Studia Geotechnica et Mechanica 25 (3–4), 77–87 (2003).
  • [10] M. Marks, “The composites reinforced by two families of fibres”, IFTR Reports 1, (2004), (in Polish).
  • [11] R. Świtka, “Equations of the fibre composite plates”, Engineering Trans. 40 (2), 187–201 (1992).
  • [12] M. Marks and I. Marczewska, “Optimization of fibres in composite disc”, Arch. of Civil Engineering 51 (1), 3–22 (2005).
  • [13] C.L. Hwang and A.S.M. Masud, “Multiple objective decision making-methods and applications. A state-of the artsurvey”, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Berlin, 1979.
  • [14] S. Jendo and W. Marks, “On the multicriteria optimization of structures”. Arch. of Civil Engineering 30 (1), 3–21 (1984), (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0016-0022
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