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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)
Politecnico di Milano, Italy 2Department of Civil Engineering (DEC), University of Minho, Guimaraes, Portugal

Full Bibliographic Reference for this chapter
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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