Optimal FRP Reinforcement of Masonry Walls under In- and Out-of-Plane Loads

Abstract:

The problem of finding the optimal layout of FRP strips to effectively retrofit masonry walls undergoing transverse loads is dealt with, taking the presence of permanent vertical loads into account. An innovative topology optimization approach is proposed to define the minimum amount of reinforcement that keeps the stress within a given strength domain throughout the wall. The macroscopic strength properties of masonry are defined by means of a simplified limit analysis approach based on homogenization theory. The capabilities of the proposed procedure are illustrated through applications on a windowed panel subjected to out-of-plane actions and vertical loads.

• Periodical: Key Engineering Materials (Volume 624)
• Pages: 429-436
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.624.429
• Online since: September 2014
• Authors: Matteo Bruggi, Gabriele Milani, Alberto Taliercio*
• Keywords: FRP Strengthening, Homogenization, Limit Analysis, Masonry, Topology Optimization

References

[1] M. Corradi, A. Borri, A. Vignoli, Strengthening techniques tested on masonry structures struck by the Umbria–Marche earthquake of 1997–1998, Constr. Build. Mat. 16 (2002) 229-239.

DOI: 10.1016/s0950-0618(02)00014-4

[2] A. Avorio, A. Borri, M. Bottardi, Theoretical Analysis and a case study of historical masonry vault strengthened by using advanced FRP, in: Proc. 3rd Int. Conf. on Advanced Composite Materials in Bridge and Structures, Ottawa (Canada), 2000, pp.577-584.

[3] M. Bruggi, A. Taliercio, Topology optimization of the fiber-reinforcement retrofitting existing structures, Int. J. Solids Struct. 50 (2013) 121-136.

DOI: 10.1016/j.ijsolstr.2012.09.009

[4] M. Bruggi, G. Milani, A. Taliercio, Design of the optimal fiber-reinforcement for masonry structures via topology optimization, Int. J. Solids Struct. 50 (2013) 2087-2106.

DOI: 10.1016/j.ijsolstr.2013.03.007

[5] M. Bruggi, G. Milani, A. Taliercio, Simple topology optimization strategy for the FRP reinforcement, Comput. Struct., 138 (2014) 86-101.

DOI: 10.1016/j.compstruc.2014.02.012

[6] M. Bruggi, G. Milani, Optimal FRP reinforcement of masonry walls out-of-plane loaded: a combined homogenization-topology optimization approach complying with masonry strength domain, Comput. Struct., submitted (2014).

DOI: 10.1016/j.compstruc.2015.02.004

[7] L.R. Herrmann, Finite element bending analysis for plates, J. Eng. Mech. Div. 93 (1967) 13-26.

[8] G. Milani, P.B. Lourenço, A. Tralli, Homogenization approach for the limit analysis of out-of-plane loaded masonry walls, ASCE J. Struct. Eng. 132 (2006) 1650-1663.

DOI: 10.1061/(asce)0733-9445(2006)132:10(1650)

[9] M.P. Bendsøe, N. Kikuchi, Generating optimal topologies in structural design using a homogenization method, Comp. Meth. Appl. Mech. Eng., 71 (1988) 197-224.

DOI: 10.1016/0045-7825(88)90086-2

[10] M. Bruggi, P. Duysinx, A stress–based approach to the optimal design of structures with unilateral behavior of material or supports, Struct. Multidiscip. Optim. 48 (2013) 311-326.

DOI: 10.1007/s00158-013-0896-7

[11] V.L. Chong, C. Southcombe, I.M. May, The behaviour of laterally loaded masonry panels with openings, in: Proc. 3rd Int. Masonry Conf., The British Masonry Soc., London, 1992, pp.178-182.

[12] M. Bruggi, On the solution of the checkerboard problem in mixed-FEM topology optimization, Comput. Struct. 86 (2008) 1819-1829.

DOI: 10.1016/j.compstruc.2008.04.008