我们在流体静力学和动力学理论的基础上建立了smectic-C液晶相的一个非线性连续理论，该理论包含了分子方向、液晶层位置函数、流体速度和流体压强场。在本文中，我们首先根smectic-C相的分子排列特征构造了自由能，它包括nematic液晶相Oseen-Frank自由能和smectic-C自由能。然后，我们在自由能的基础上，根据液晶的弹性力、渗透力和流体守恒定律，建立smectic-C相的动力学方程组，并利用变量在时间可逆情况下的奇偶性，对模型进行了化简。为了考察模型的合理性，我们还研究了该模型的能量形式，smectic-C相的能量主要表现为流体动能、液晶层的能量、分子倾斜和扭曲形变的能量。我们证明了该模型的总能量是一个遵循物理事实的能量耗散系统。同时，为了检验模型中参量的合理性，我们利用渐进分析推导双重不可压模型，所得结果与原始模型也完全一致。最后，我们把建立smectic-C相动力学模型的方法推广到了smectic的其他液晶相上。

Here we present a nonlinear continuum theory of smectic-C liquid crystals through the construction of the hydrostatic and hydrodynamic theory, which involves molecular orientation, layer order parameter, flow velocity and hydrostatic pressure fields. Firstly, we establish the free energy depending on the molecular orientation feature of smectic-C liquid crystals. The free energy includes the Oseen-Frank energy of nematic liquid crystals and the smectic-C energy. Then, we develop a hydrodynamic equations for smectic-C liquid crystals by its permeation force, elastic stress and the liquid conservation laws. We also obtain the simplified model through the parity of our variables under time reversal. In order to prove the rationality of the model, we verify the energy law. The kinetic energy, layer energy, molecular tilting energy and distortion energy are founded in our model and we derive the energy dissipative relation. In addition, we verify that the system can also be obtained by using asymptotic analysis when both the fluid and the layers are incompressible. The method to establish the model of smectic-C liquid crystals can be extended to the other smectic liquid crystals.