Determination of Homogenized Nonlinear Material Parameters of Masonry Walls

Abstract eng:
The theory of micromechanical homogenization is used for the prediction of effective material properties for the use in macroscopic nonlinear simulations of masonry structures subjected to lateral loads, e.g. due to seismic loads, using a wellestablished model such as the total strain rotating crack (TSRC) model. The mechanical and geometrical properties of the constituents (mortar joints and brick units) are explicitly considered in a detailed microscopic three-dimensional (3D) finite element (FE) model of a typical masonry unit cell subjected to a monotonically increasing state of macro strain. The macro stress history is obtained so that a macroscopic stress-strain relationship is established for a particular orientation of principal strains. The effective parameters for nonlinear analysis are selected based on the obtained stress-strain curve. This set of effective parameters is used in a macroscale model to test their ability in replicating full micro analytical modeling as well as experimental results of full-scale specimens. The proposed homogenized model is suitable for an efficient computation of the nonlinear behavior of masonry structures where experimental results are unavailable. On the other hand, it is also suitable for parameters determination for masonry structures subjected to complex state of stresses as the case of a masonry wall containing openings and/or complicated geometric/loading conditions. Such a parametric model can also serve as a key component for the analytical estimation of the seismic vulnerability of systems containing masonry components, e.g. masonry structures and infilled frames, for subsequent reliability-based performance-based earthquake engineering applications.

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