Abstract

This paper presents the concept of non-integer analytical dynamic modeling of soft tissue deformation. The main idea of the paper is to introduce a variable order equation for the single-dimensional viscoelastic stress-strain relation. A set of experimental data and an identification method are used to validate such idea. Afterwards, we extend the stresss-train relationship to the multi-dimensional case. Combining this equation with the equations of motion for a soft continuum body leads to the set of force-displacement equations. The model is rearranged to form a standard state space dynamical system. Then, these equations are analyzed and compared with a previously developed integer-order model.

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