A simple total displacement homogenization model suitable for the non-linear analysis of in and out of plane loaded masonry walls is presented. In the model, a running bond rectangular elementary cell is discretized into few triangular elastic constant stress elements representing bricks and non-linear holonomic with softening mortar joints reduced to interfaces. The unrefined discretization adopted allows dealing with a homogenization problem ruled by few displacement variables, where homogenized stress-strain relationships can be found in semi-analytical form. The approach proposed is validated at a cell level in both the elastic and inelastic range, exhibiting excellent numerical stability and accuracy. It finally allows a straightforward implementation at a structural level on a commercial code, where entire walls are modelled by means of rigid elements and non-linear homogenized interfaces. Some example of technical relevance are analyzed in both the non-linear static and dynamic range and compared with those achieved using alternative numerical procedures. To this aim a first set of simulation is performed on a deep beam tested by Page while the second series of analyses are conducted on a church façade subjected to dynamic excitation.
Simple closed form homogenization model for the non linear static and dynamic analysis of running bond masonry walls in- and out-of-plane loaded
BERTOLESI, ELISA;MILANI, GABRIELE
2016-01-01
Abstract
A simple total displacement homogenization model suitable for the non-linear analysis of in and out of plane loaded masonry walls is presented. In the model, a running bond rectangular elementary cell is discretized into few triangular elastic constant stress elements representing bricks and non-linear holonomic with softening mortar joints reduced to interfaces. The unrefined discretization adopted allows dealing with a homogenization problem ruled by few displacement variables, where homogenized stress-strain relationships can be found in semi-analytical form. The approach proposed is validated at a cell level in both the elastic and inelastic range, exhibiting excellent numerical stability and accuracy. It finally allows a straightforward implementation at a structural level on a commercial code, where entire walls are modelled by means of rigid elements and non-linear homogenized interfaces. Some example of technical relevance are analyzed in both the non-linear static and dynamic range and compared with those achieved using alternative numerical procedures. To this aim a first set of simulation is performed on a deep beam tested by Page while the second series of analyses are conducted on a church façade subjected to dynamic excitation.File | Dimensione | Formato | |
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2016_ECCOMAS_Ber_Mil_Paper.pdf
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