{
    "protocol": "The synthesis of hydrophilic polymers with functional groups involves the consideration of a new reference state for the gel, assuming it is in a state of free expansion and in equilibrium with a solvent of chemical potential μ_ref. The deformation gradient F can be multiplied to decompose it into F' and F0, where the value of λ0 is calculated by solving a boundary value problem simplified to an algebraic equation: G(1/λ0 - 1/λ0^3) + K_mix[log(1 - 1/λ0^3) + 1/λ0^3 + χ/λ0^6] - μ_ref = 0. After determining λ0, the free energy density and mobility tensor in the new reference configuration can be obtained through Piola transformation. Two expressions for the elastic free energy and mixing free energy are derived, along with the expression for the mobility tensor relative to the expansion reference configuration.在模型开发器窗口的组件 1 (comp1) 节点下，单击达西定律 (dl)。选择\"域\" 2。在达西定律的设置窗口中，单击以展开因变量栏。在压力 (Pa) 文本框中键入 \"mu\"。在模型开发器窗口的组件 1 (comp1) | 达西定律 Π(dI)> 多孔介质 1 节点下，单击流体 1。在流体的设置窗口中，定位到流体属性栏。从流体类型列表中选择不可压缩。从 ρ_ref 列表中选择用户定义。在关联文本框中键入 \"rhof\"。从 μ 列表中选择用户定义。在关联文本框中键入 \"muf\"。在模型开发器窗口中，单击多孔基体 1。在多孔基体的设置窗口中，定位到基体属性栏。从 ε_p 列表中选择用户定义。在关联文本框中键入 \"poro0\"。从 κ 列表中选择用户定义。从列表中选择对称。在 κ 表中，输入以下设置：KRR KRZ；KRZ KZZ。在模型开发器窗口的组件 1 (comp1) | 达西定律 (dl) 节点下，单击初始值 1。在初始值的设置窗口中，定位到初始值栏。在 mu 文本框中键入 \"mu_ref\"。在模型开发器窗口中，单击连续性 1。在连续性的设置窗口中，定位到高级栏。选中断开连接对复选框。The text excerpt does not contain any specific experimental protocol for the synthesis of hydrophilic polymers with functional groups."
}