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Highlights Experimental data on varied combinations of units and mortars are presented in detail The varying Poisson's ratio of mortar under compressive loading is investigated and modeled Computationally inexpensive and accurate micro-mechanical models are developed for the numerical reproduction of the experiments The influence of the material properties of mortar on the compressive behavior of masonry is highlighted The wide changes in the apparent vs. prescribed elastic properties of the material components in the masonry composite are shown