Kinetic model for the large deformation of cylindrical gels

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.

Energy Stable Numerical Method for the TDGL Equation with the Reticular Free Energy in Hydrogel

“…Many works in chemical structure and dynamics simulation have been done about TP gels, NC hydrogels, and DN gels and much progress has been made [5,11,12,25]. But there are relatively less results about MMC hydrogels [23,24]. Why the MMC hydrogels have such high mechanical strengths?…”

“…These problems are very important. Now we have investigated the microscopic structures in [24] and large deformation of the MMC hydrogels in [23]. The MMC-TDGL model have been given to get the phase transition of the MMC hydrogels [26].…”

Numerical investigation of the growth kinetics for macromolecular microsphere composite hydrogel based on the TDGL equation

“…Macromolecular microsphere composite (MMC) hydrogels, a kind of polymeric materials, have attracted some theoretical and experimental studies because of their well-de¯ned network structure. [1][2][3][4][5][6] The new hydrogel, as proposed in Fig. 1 predominately consists of MMS (macromolecular microsphere), chains and water molecules, which shapes its well-de¯ned structure and high mechanical strength shown in Figs.…”

“…Now there are many mathematical and physical work to help understand these questions. [4][5][6][7][8][9][10][11][12][13] Concerning the above questions, now theoretical results of ordered micro-structures could be obtained. 12 Furthermore, there was a randomly micro-structure model.…”