分子链缠结对核-壳结构复合凝胶非均匀变形行为的影响

凝胶分子形成凝胶网络时，分子链段间会相互缠绕形成物理交联，显著影响其力学行为.为研究凝胶分子链段间相互缠结形成的物理交联对核壳结构复合凝胶变形行为与溶剂分布的影响，基于slip-link链缠结模型和张量推导建立核壳结构复合凝胶变形过程的一般数学表达式.结果表明：受刚性核影响，凝胶壳的拉伸是各向异性的，凝胶壳内溶剂的分布也是非均匀的，由内向外呈非线性变化，溶剂在凝胶内的扩散不满足菲克扩散定律；分子链缠结度越高凝胶壳的径向和周向伸长比越低，凝胶的溶胀率也越低.

Inhomogeneous Swelling of Core-Shell Composite Gels: Chain Entanglement Effect

As gel molecules form a gel network, molecular chain segments are intertwined to form physical crosslinking, which affects significantly their mechanical behavior. To study effect of entanglement formed by physical cross-linking on deformation behavior and solvent distribution of core-shell composite gels, a mathematical model is developed in finite elasticity of core-shell composite gels based on tensor derivation. And a slip-link chain entanglement model was introduced. It shows that under the influence of rigid core, tensile behavior of gel shell is anisotropy. Distribution of solvent in the gel shell is non-uniform. It increases nonlinearly from inside to outside. Solvent diffusion in gel does not satisfy Ficks law. The higher the degree of chain entanglement is, the lower the radial and circumferential extension ratio of gel shell, and the lower the swelling ratio are.