Abstract
Ancient masonry structures can be seen as a set of rigid blocks where the deformation is taking place at the interface between the blocks. Rocking, twisting and sliding between them are possible mechanisms that actually take place under static or dynamic loading. A continuum model for regular block structures is derived by replacing the quotients of the discrete equations by corresponding differential quotients. The homogenisation procedure leads to an anisotropic Cosserat Continuum. For elastic block interactions the dispersion relations of the discrete and the continuous models are derived and compared.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
REFERENCES
H.-B. Mühlhaus, Continuum models for layered for layered and blocky rock, Comprehensive Rock Eng. Pergamon Press 2, 209–230 (1993).
J. Sulem and H.B. Mühlhaus, A continuum model for periodic two-dimensional block structures, Mechanics of cohesive-frictional materials 2, 31–46 (1997).
M. Cerrolaza, J. Sulem and A. El Bied, A Cosserat non-linear finite element analysis software for blocky structures, Int. J. of Advances in Eng. Soft 30, 69–83 (1999).
J. Sulem, H.B. Mühlhaus and P. Untereiner, Discrete and continuous models for dry masonry columns, Journal of engineering mechanics (1997).
I. Vardoulakis and J. Sulem, Bifurcation Analysis in Geomechanics (Blackie Academic and Professional, Glascow, 1995).
R.D. Mindlin, Micro structure in Linear Elasticity, Arch. Ration. Mech. Anal. 16, 51–78 (1964).
A.-S.-J. Suiker, A.-V. Metrikine and De Borst R., Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models, International Journal of Solids and Structures 38, (2001).
E. Pasternak and H.B. Mühlhaus, Generalised homogenisation procedures for granular materials, Journal of Engineering Mathematics 52, 199–229 (2005).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
Stefanou, I., Sulem, J., Vardoulakis, I. (2006). Masonry. In: KOURKOULIS, S.K. (eds) Fracture and Failure of Natural Building Stones. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5077-0_8
Download citation
DOI: https://doi.org/10.1007/978-1-4020-5077-0_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-5076-3
Online ISBN: 978-1-4020-5077-0
eBook Packages: EngineeringEngineering (R0)