Finite element method for coupled diffusion-deformation theory in polymeric gel based on slip-link model |
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Authors: | Hengdi Su Huixian Yan Bo Jin |
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Affiliation: | 1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;2. School of Mechanical and Electrical Engineering, Sanming University, Sanming 365004, Fujian Province, China |
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Abstract: | A polymeric gel is an aggregate of polymers and solvent molecules, which can retain its shape after a large deformation. The deformation behavior of polymeric gels was often described based on the Flory-Rehner free energy function without considering the influence of chain entanglements on the mechanical behavior of gels. In this paper, a new hybrid free energy function for gels is formulated by combining the Edwards-Vilgis slip-link model and the Flory-Huggins mixing model to quantify the time-dependent concurrent process of large deformation and mass transport. The finite element method is developed to analyze examples of swelling-induced deformation. Simulation results are compared with available experimental data and show good agreement. The influence of entanglements on the time-dependent deformation behavior of gels is also demonstrated. The study of large deformation kinetics of polymeric gel is useful for diverse applications. |
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Keywords: | slip-link model non linear Integral equatlons ril ndom Voltcrra in tcgral equations random Cauchy problen extremal random solLltion comparisonresult polymeric gel finite element method kinetics large deformation mass transport |
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