溶胀和变形凝胶中的交联模式及其图像
Cross-linking patterns and their images in swollen and deformed gels
摘要：
使用的聚合物凝胶的弹性理论，我们表明，大规模的交联密度图案写入网络的结构在熔融状态下，可以显示通过监测单体密度图案溶胀。我们发现，虽然在良好的溶剂中的各向同性变形产生放大的原始图案的图像，各向异性变形扭曲的图像（这两种类型的变形产生affrinate拉伸图像在$θ$溶剂）。我们表明，在普通固体的剪切模量的空间不均匀的配置文件，各向同性拉伸导致扭曲的密度图像下各向同性变形的这个配置文件。使用简单的物理参数，我们证明了不同的响应各向同性拉伸源于固体和凝胶的弹性理论之间的根本差异。可能的测试，我们的预测和一些潜在的应用进行了讨论。
英文摘要：
Using the theory of elasticity of polymer gels we show that large-scale cross-link density patterns written into the structure of the network in the melt state, can be revealed upon swelling by monitoring the monomer density patterns. We find that while isotropic deformations in good solvent yield magnified images of the original pattern, anisotropic deformations distort the image (both types of deformation yield affinely stretched images in $θ$ solvents). We show that in ordinary solids with spatially inhomogeneous profile of the shear modulus, isotropic stretching leads to distorted density image of this profile under isotropic deformation. Using simple physical arguments we demonstrate that the different response to isotropic stretching stems from fundamental differences between the theory of elasticity of solids and that of gels. Possible tests of our predictions and some potential applications are discussed.
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