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Computational Science, Engineering & Technology Series
ISSN 1759-3158 CSETS: 39
COMPUTER ANALYSIS AND DESIGN OF MASONRY STRUCTURES Edited by: J.W. Bull
Chapter 8
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.
Abstract
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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