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COMPUTER ANALYSIS AND DESIGN OF MASONRY STRUCTURES
Edited by: J.W. Bull
A Micro-Mechanical Model for the Limit Analysis of Running Bond Masonry: Applications and Validation for In- and Out-of-Plane Loaded Structures
G. Milani1 and P.B. Lourenco2
1Department of Architecture, Built Environment and Construction Engineering (ABC)
G. Milani, P.B. Lourenco, "A Micro-Mechanical Model for the Limit Analysis of Running Bond Masonry: Applications and Validation for In- and Out-of-Plane Loaded Structures", in J.W. Bull, (Editor), "Computer Analysis and Design of Masonry Structures", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 8, pp 223-253, 2017.
Keywords: masonry, limit analysis, constitutive behaviour, homogenisation techniques.
In this chapter, a simple micro-mechanical model for the homogenised limit analysis of masonry is reviewed. Assuming brickwork under plane stress conditions and adopting a polynomial expansion for the stress field, a linear optimization problem is derived on the elementary cell in order to recover the homogenised failure surface of the brickwork. The implementation of the homogenised failure surfaces for in-plane and out-of-plane behaviour in a finite element limit analysis code is also addressed. Finally, relevant structural examples are treated with particular emphasis on the upper bound method and are compared with competing approaches.
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