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In this paper, we present a meshless Finite Cloud Method (FCM) for the solution of time-dependent partial differential equations governing ionic gel swelling. Using a point distribution, FCM constructs interpolation functions without assuming any connectivity between points. A collocation approach enforces the unknowns at every point to satisfy either the governing equation of the boundary conditions. To validate the model, a cylindrical hydrogel was fabricated and subjected to step changes in solution pH to characterize the hydrogel's dynamic behavior. The hydrogel's equilibrium behavior was matched using a thermodynamic model. Numerical results show good agreement with experimental data.
Sudipto K. De,Richard R. Ohs, andNarayan R. Aluru
"Modeling of hydrogel swelling in buffered solutions", Proc. SPIE 4329, Smart Structures and Materials 2001: Electroactive Polymer Actuators and Devices, (16 July 2001); https://doi.org/10.1117/12.432657
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Sudipto K. De, Richard R. Ohs, Narayan R. Aluru, "Modeling of hydrogel swelling in buffered solutions," Proc. SPIE 4329, Smart Structures and Materials 2001: Electroactive Polymer Actuators and Devices, (16 July 2001); https://doi.org/10.1117/12.432657