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Design of the optimal fiber reinforcement for masonry structures via topology optimization

Treść / Zawartość
Identyfikatory
Warianty tytułu
PL
Projektowanie optymalnego zbrojenia włóknowego w konstrukcjach murowych poprzez optymalizację topologii
Języki publikacji
EN
Abstrakty
EN
The optimal layout of the fiber reinforcement to be placed on existing masonry structures is determined using topology optimization [1]. The problem can be conveniently formulated as the minimization of the amount of reinforcement required to keep tensile stresses in any masonry element below a prescribed threshold. Strength criteria for masonry elements are provided by means of a recently presented lower bound limit analysis homogenization model [2], relying into a discretization of one-fourth of the unit cell by six CST elements. The macroscopic strength domain of masonry can be obtained in closed form, thanks to the limited number of variables involved. A multi-constrained discrete formulation that locally controls the stress field over the whole design domain [3] is adopted. The contribution presents some preliminary numerical results addressing the fiber-reinforcement of a benchmark masonry wall.
PL
Optymalny układ zbrojenia z włókna do umieszczenia na istniejących konstrukcjach murowych jest określany za pomocą optymalizacji topologii.
Rocznik
Tom
Strony
23--27
Opis fizyczny
Bibliogr. 15 poz., il.
Twórcy
autor
  • Politecnico di Milano, Dipartimento di Ingegneria Struttural
autor
  • Politecnico di Milano, Dipartimento di Ingegneria Strutturale
autor
  • Politecnico di Milano, Dipartimento di Ingegneria Strutturale
Bibliografia
  • [1] Bendsøe M., Kikuchi N. (1988) Generating optimal topologies in structural design using a homogenization method. Comp. Meth. Appl. Mech. Eng. 71: 197-224.
  • [2] Milani G. (2011) Simple homogenization model for the non-linear analysis of in-plane loaded masonry walls. Comput. Struct. 89: 1586-1601.
  • [3] Duysinx P., Bendsøe M.P. (1998) Topology optimization of continuum structures with local stress constraints. Int. J. Numer. Methods Eng. 43: 1453-1478.
  • [4] Grande E., Milani G., Sacco E. (2008) Modelling and analysis of FRP-strengthened masonry panels. Enging. Struct. 30(7): 1842-1860.
  • [5] Capozucca R. (2011) Experimental analysis of historic masonry walls reinforced by CFRP under in-plane cyclic loading. Compos. Struct. 94: 277-289.
  • [6] Shrive N.G. (2006) The use of fi bre reinforced polymers to improve seismic resistance of masonry. Constr. Build. Mat. 20(4): 269-277.
  • [7] Krevaikas T.D., Triantafi llou T.C. (2005) Computer--aided strengthening of masonry walls using fi bre-reinforced polymer strips. Mater. Struct. 38: 93-98.
  • [8] Pegon P., Anthoine A. (1997) Numerical strategies for solving continuum damage problems with softening: application to the homogenisation of masonry. Comput. Struct. 64(1-4): 623-642.
  • [9] Suquet P. (1983) Analyse limite et homogénéisation. Comptes Rendus de l’Académie des Sciences – Série IIB – Mécanique 296: 1355-1358.
  • [10] Anderheggen E., Knopfel H. (1972) Finite element limit analysis using linear programming, Int. J. Solids Struct. 8: 1413-1431.
  • [11] Bruggi M., Duysinx P. (2012) Topology optimization for minimum weight with compliance and stress constraints. Struct. Multidiscip. Optim., in press.
  • [12] Bendsøe M.P., Sigmund O. (2003) Topology Optimization – Theory, Methods and Applications, Springer, Berlin.
  • [13] Bendsøe M.P., Guades J.M., Haber R.B., Pedersen P., Taylor J.E. (1994) An analytical model to predict optimal material properties in the context of optimal structural design. J. Appl. Mech. 61: 930-937.
  • [14] Bruggi M. (2008) On an alternative approach to stress constraints relaxation in topology optimization. Struct. Multidiscip. Optim. 36: 125-141.
  • [15] Svanberg K. (1987) Method of moving asymptotes – A new method for structural optimization. Int. J. Numer. Methods Eng. 24: 359-373.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-26c06ea9-2a89-4958-a9cf-aaebe0e049a9
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