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In the first part of this work,the two-dimensional ferroelectric(FE)domain structures in artificial square grid are investigated,based on the Landau phenomenological model.The aperture ratio dependent domain pattern evolution is carefully studied.In details,with increasing aperture ratio,the intact FE 90o domains split into multiple strip-like domain patterns.Given further increasing hollow area in the grid structure,the orientation of electric polarizations in each domain is completely subjected to the pattern of the grid.The underlying mechanism is understood by analyzing the energy evolution of each phenomenological term.