基于热力学，给出了同质与非同质凝胶的自由能，然后由平衡态理论，得出应力张量及力学平衡表达式。再从物理原理出发，介绍了Doi提出的基于连续体力学凝胶动力学模型， 它同时兼顾了弹性形变和溶剂渗透两个方面。简化后得到两个模型， 分别用它们去讨论一维凝胶的溶胀行为--溶剂的渗透引发了凝胶的形变，并给出数值模拟及分析讨论。

The free energy for homogeneous and inhomogeneous gels is given based on thermodynamics, which further gives stress tensor and mechanical equilibrium condition by equilibrium theorem. Continuum mechanical model is proposed for dynamical processes in gels that involve the elastic deformation and solvent permeation by Masao Doi. Two models are derived by simplifying the original dynamical model,which are separately applied to discuss the swelling of gels--solvent permeation causes deformation, and numerical simulation and analysis are also presented.