Abstract
Here we investigate the kinetic model for the large deformation theory of hydrogel under the outside stimulations. We present the large deformation dynamical model in the following two points. (1) The phase transition caused by the deformation gradient is concerned, which makes the model more integral. (2) Based on the steady-state model, the time-dependent large deformation model is proposed and the time developing process is investigated. Considering the force of the large deformation, we introduce the heat equation to express the transformation of the chemical potential. The extended model can be used to describe the development of the large deformation. We present numerical examples of the cylindrical hydrogel for one- and two-dimensional cases under pressure and stretch. Besides, some key parameters are studied to test the model.
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