功能梯度球形水凝胶的化学力学耦合分析

杨健鹏; 王惠明

doi:10.6052/0459-1879-19-019

功能梯度球形水凝胶的化学力学耦合分析

杨健鹏^*†,,
王惠明^*†2),

* 浙江大学工程力学系,杭州 310027
? 浙江大学浙江省软体机器人与智能器件研究重点实验室,杭州 310027

基金项目: 1) 国家自然科学基金资助项目(11772296);国家自然科学基金资助项目(11621062)

详细信息

通讯作者:
王惠明

中图分类号: O343.5,O343.7
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出版历程
- 收稿日期: 2019-01-13
- 刊出日期: 2019-07-17

CHEMOMECHANICAL ANALYSIS OF A FUNCTIONALLY GRADED SPHERICAL HYDROGEL

Yang Jianpeng^*†,,
Wang Huiming^*†2),

* Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China
? Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, China

摘要

摘要: 作为一种新型智能材料,水凝胶具有特殊的化学力学耦合性能.采用功能梯度形式可使得水凝胶具有更好的适应性和可调控性.本研究中假设交联密度沿径向按幂函数规律变化,并基于水凝胶的大变形多场耦合一般理论,采用Flory-Huggins自由能函数,建立了功能梯度球形水凝胶在球对称情形的控制方程,并开展了功能梯度球形水凝胶在给定内压和化学势情行的非均匀大变形溶胀行为的理论研究.计算结果表明,不同梯度指数的球形水凝胶的内压、内孔半径曲线和内压、内表面径向伸长率曲线均呈现出一段稳定区间和另一段不稳定区间,说明内压超出某临界值会发生失稳并导致水凝胶的最终破坏.内压的临界值随梯度指数的增大而增大.研究表明,功能梯度球形水凝胶的材料参数(梯度指数、亲疏水特性、交联密度和溶剂分子的体积)和环境化学势对水凝胶溶胀行为具有重要的影响.在给定内表面压力的情况下,功能梯度球形水凝胶内表面的径向位移随梯度指数的改变接近为线性变化,而随其他参数的影响都呈现出明显的非线性.本研究有助于实现水凝胶智能结构和器件在复杂条件下的精准调控.}
- 功能梯度水凝胶 /
- 化学力学耦合 /
- 溶胀行为 /
- 大变形 /
- 球对称
Abstract: As a kind of new smart materials, hydrogel has a special chemomechanical coupling effect. By using the functionally graded material, the adaptability and controllability of the hydrogel can be improved distinctly. In this analysis, the crosslink density of the hydrogel is assumed to be a power-law function of the radial position. By employing the general multi-field coupling large deformation theory and the Flory-Huggins free energy function, the governing equations of the functionally graded spherical hydrogel (FGSH) undergoing the spherically symmetric deformation are developed. The theoretical analysis of the swelling behavior accompanying the inhomogeneous large deformation is presented for the FGSH when subjected to the internal pressure and the prescribed chemical potential. Numerical results show that both the internal pressure-internal radius curve and the internal pressure-radial stretch curve exhibit a stable region and an unstable region, which means that if the internal pressure exceeds a certain critical value, the instability will occur and the hydrogel will finally be damaged. The critical value of the internal pressure increases with the increasing of gradient index. It is shown that the material parameters, such as gradient index, the interaction parameter between the polymer network and the solvent, the cross-link density and the volume of the solvent molecular, and the environmental chemical potential have a significant effect on the swelling behavior of the FGSH. If the internal pressure is fixed, the radial displacement of FGSH at the internal surface is nearly linear with respect to the gradient index, while it appears obvious nonlinear to other parameters. The investigation is helpful to realize the precise control of the hydrogel-based smart structures and devices under the complex environments.
- functionally graded hydrogel /
- chemomechanical coupling /
- swelling behavior /
- large deformation /
- spherical symmetry

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施引文献(6)

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