We have in mind large deforming inflatable porous structures with electroactive (piezoelectric, or flexoelectric) components, cf. [1]. Such controlable actuators can generate deformation, or operate distributed valves to control volume of the fluid-filled compartments. Inflatable microstructures can be exposed to unilateral contact interaction at the pore level, as considered in [2], but newly extended for fluid-saturated closed pores subject to finite deformation. Using the concept of the locally periodic structures, cf. [3], the homogenization is applied to an incremental formulation arising due to linearization of the residual based formulation in the Eulerian frame (i.e. the Updated Lagrangian formulation). The derived computational framework is based on the asymptotic homogenization using the concept of characteristic responses providing effective parameters of the incremental constitutive model. This concept also provides the basis for reducing the computational effort otherwise associated with the FE-square method. Following the approach suggested in [4], the sensitivity analysis of the homogenized coefficients of the incremental model with respect to deformation induced by the macroscopic quantities is employed to construct interpolation and extrapolation schemes in the deformation space, whereby the polar decomposition is involved. These approximations are combined with the k-means clustering. The model is implemented in the open source code SfePy, http://sfepy.org. [1] E. Rohan, V. Lukeš. Homogenization of peristaltic flows in piezoelectric porous media. (2023) arXiv:2304.05393v1, https://doi.org/10.48550/arXiv.2304.05393 [2] E. Rohan and J. Heczko. Homogenization and numerical algorithms for two-scale modelling of porous media with self-contact in micropores, Jour. Computat. and Appl. Math., 432:115276, 2023. [3] V. Lukeš, E. Rohan. Homogenization of large deforming fluid-saturated porous structures. Computers & Mathematics with Applications, 110(15):40-63, 2022. [4] E. Rohan. Sensitivity strategies in modelling heterogeneous media undergoing finite deformation, Math. and Computers in Simulation 61 (3-6):261-270, 2003.