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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 24
ADVANCES IN NON-LINEAR FINITE ELEMENT METHODS
Edited by: B.H.V. Topping and M. Papadrakakis
Paper V.1

Numerical Strategies for Solving Continuum Damage Problems Involving Softening: Application to the Homogenization of Masonry

P. Pegon and A. Anthoine

Joint Research Center, Safety Technology Institute, Applied Mechanics Division, Ispra, Italy

Full Bibliographic Reference for this paper
P. Pegon, A. Anthoine, "Numerical Strategies for Solving Continuum Damage Problems Involving Softening: Application to the Homogenization of Masonry", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 143-157, 1994. doi:10.4203/ccp.24.5.1
Abstract
The homogenization theory for periodic media is used for deriving the in-plane macroscopic non-linear behaviour of masonry. Two different assumptions are envisaged: plane stress and generalised plane strain. Assuming a continuum damage modelling for the brick and the mortar, the two-dimensional boundary value problem associated with the homogenization method is presented, together with the numerical strategies able to solve it. Emphasis is put on the numerical difficulties related to the softening character of the conconstitutive law. The results obtained for typical loading paths are presented. Contrarily to common sense, the effect of the head joints is substantial and only the generalized plane strain assumption leads to realistic results.

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