Homogenization of periodic masonry: Plane stress, generalized plane strain or 3D modelling? (English) Zbl 0879.73006

Masonry can be considered either as infinitely thin (two-dimensional medium under plane stress), or as infinitely thick (two-dimensional medium under generalized plane strain). In order to determine the range of validity of these assumptions, the homogenization theory is here implemented in a rigorous way, i.e. taking into account the finite thickness of masonry. Both brick and mortar being assumed as subjected to isotropic damage, numerical computations show that the above-mentioned assumptions have little influence on the macroscopic elastic behaviour of masonry, but may significancy affect its nonlinear response (ultimate load and mode of failure).


74E05 Inhomogeneity in solid mechanics
74R99 Fracture and damage
74S05 Finite element methods applied to problems in solid mechanics
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