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• W2072360140 abstract "We investigate the configuration of gel sheets with centrosymmetric distribution of monomer concentration in this paper. The configuration energy of these gel sheets consists of the in-plane stretching energy and bending energy. The equilibrium shape equations are derived by variation principle. This provides a way to control the shape of gel sheets by the initial concentration and thickness. From the equilibrium shape equations, we know that the Gaussian curvature on boundary (K| C ) of equilibrium shape is determined by the Poisson ratio [Formula: see text]. K| C is negative when [Formula: see text] but positive when [Formula: see text]. Specially, we derive two dome-like solutions from the equilibrium shape equations to compare with the experimental data. In these dome-like sheets, on the boundary part the Gaussian curvature is K < 0, which is different from the center part (K > 0). Furthermore, we deduce that the initial gel distribution of cylinder sheets is proportional to 1/r and find that N-isopropylacrylamide cylinder sheets cannot be formed without additional edges. Our theoretical results agree well with the experimental data [Klein et al., Science315, 1116 (2007)]. On the other hand, we predict a special type of gel sheets as minimal surface. Their residual stresses are constant and same along radial and circumference directions. For axisymmetric sheets, we give a criterion about the sign of Gaussian curvature K when thickness h is infinite small." @default.
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• W2072360140 date "2012-05-16" @default.
• W2072360140 modified "2023-10-16" @default.
• W2072360140 title "THE OPTIMAL CONFIGURATION OF GEL SHEET GOVERNED BY ITS CONCENTRATION" @default.
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• W2072360140 doi "https://doi.org/10.1142/s0217979212500841" @default.
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