This research purpose is development of the bioinspired intelligent materials applying biphasic composition of biocompatible piezoelectric rubber multicellular structures and inert gas in order to create the multifunctional effect of the solid-fluid dynamic dispersion for cancellous bone and the impact shock absorption and the piezoelectricity for fibrous tissues such as muscles. This is the first paper reporting on manufacture of the two-dimensional model for rubber multicellular structures to constitute active shock absorption due to the biphasic composition and measurement of the viscous elastic in-plane deformation of its hexagonal cell units. Quasistatic in-plane indentation properties of the urethane rubber hexagonal cells depended on the rubber's viscous elasticity at the speeds from 0.1 to 100 mm a minute. As for the multicellular structure built of urethane rubber hexagonal cells, the in-plane indentation to the central cell on the top cell-layer at the speed of 10 mm a minute illustrated the bottom cell-layer's load distributions based on the in-plane anisotropy of multicellular deformation.