By analyzing underwater flexible object motion, new challenges facing mechanical and engineering industry can be seen. For example, the need to address the complex task of elastomers (e.g., rubber or silicone) robotic objects interaction with the water boundary. In this task the water flow resistance forces and deformation of the flexible object must be taken into account. The current work is an attempt to launch an investigation on elastomer dynamics of experimental and theoretical research in two directions. Experimental studies have been conducted with a sample loading on the machine HB Zwick Roell 50th. The theoretical research investigation proposes a new model with internal interactions inside elastomers. The model is based on common lateral and diagonal interaction links between the cross sections of the material. The results of the work are applied for under water robotic systems elastic parts motion modeling. Additionally, a new dynamical material model for muscle dynamics analysis may be used in biomechanics.