分子链缠结对核-壳结构复合凝胶非均匀变形行为的影响

doi:10.19596/j.cnki.1001-246x.8128

计算物理 ›› 2020, Vol. 37 ›› Issue (5): 581-588.DOI: 10.19596/j.cnki.1001-246x.8128

分子链缠结对核-壳结构复合凝胶非均匀变形行为的影响

颜慧贤^1,2, 苏恒迪³

1. 三明学院机电工程学院, 福建三明 365004;
2. 装备智能控制福建省高校重点实验室, 福建三明 365004;
3. 河南农业大学信息与管理科学学院, 河南郑州 450002

收稿日期:2019-08-30 修回日期:2019-11-13 出版日期:2020-09-25 发布日期:2020-09-25
通讯作者: 苏恒迪(1988-),博士,讲师,研究方向为数值方法在智能材料模拟中的应用,E-mail:sudi2006435@163.com
作者简介:颜慧贤(1982-),博士,副教授,研究方向为智能材料力学性能数值模拟,E-mail:yanhx1982@126.com
基金资助:
国家自然科学基金（11502131）、福建省自然科学基金（2016J05019）、福建省高校杰出青年科研人才培育计划（[2016]23）及河南农业大学博士科研启动基金（30500757）资助项目

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

YAN Huixian^1,2, SU Hengdi³

1. School of Mechanical and Electrical Engineering, Sanming University, Sanming, Fujian 365004, China;
2. Key Laboratory of Equipment Intelligence Control of Fujian Province, Sanming, Fujian 365004, China;
3. College of Information and Management Science, Henan Agricultural University, Zhengzhou, Henan 450002, China

Received:2019-08-30 Revised:2019-11-13 Online:2020-09-25 Published:2020-09-25

摘要/Abstract

摘要： 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.

关键词: 核壳结构, 凝胶, 链缠结, slip-link模型

Abstract: 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.

Key words: core-shell structure, gels, chain entanglement, slip-link model

中图分类号:

颜慧贤, 苏恒迪. 分子链缠结对核-壳结构复合凝胶非均匀变形行为的影响[J]. 计算物理, 2020, 37(5): 581-588.

YAN Huixian, SU Hengdi. Inhomogeneous Swelling of Core-Shell Composite Gels: Chain Entanglement Effect[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(5): 581-588.

参考文献

[1] MEMON K. Core-shell alginate-graphene oxide hydrogel microcapsules based photohermally controlled release of lidocaine[D]. Hefei:University of Science and Technology of China, 2019.
[2] 刘付丽, 任向华, 孙宗招, 等. 明胶包覆的pH响应性纳米载体的构建及其药物控释行为研究[J]. 化学传感器, 2018, 38(4):42-46.
[3] ZHAO X H, HONG W, SUO Z G. Inhomogeneous and anisotropic equilibrium state of a swollen hydrogel containing a hard core[J]. Applied Physics Letters, 2008, 92:051904-1-051904-3.
[4] MARCOMBE R, CAI S Q, HONG W, et al. A theory of constrained swelling of a pH-sensitive hydrogel[J]. Soft Matter, 2010, 6(4):784-793.
[5] CAI S Q, SUO Z G. Mechanics and chemical thermodynamics of phase transition in temperature-sensitive hydrogels[J]. Journal of the Mechanics and Physics of Solids, 2011, 59:2259-2278.
[6] WU Z, ZHONG Z. A theoretical model for thermal-sensitive microgel with PNIPAM core and elastic shell[J]. Acta Mechanica Solida Sinica, 2012, 25(5):520-529.
[7] LIAN C, ZHI D Y, XU S H, et al. A lattice model for thermally-sensitive core-shell hydrogels[J]. Journal of Colloid and Interface Science, 2013, 406:148-153.
[8] LI B, XU G K, FENG X Q. Tissue-growth model for the swelling analysis of core-shell hydrogels[J]. Soft Materials, 2013,11(2):117-124.
[9] DROZDOV A D. Equilibrium swelling of core-shell composite microgels[J]. Meccanica, 2015, 50:1579-1592.
[10] MAZAHERI H, BAGHANI M, NAGHDABADI R, et al. Coupling behavior of the pH/temperature sensitive hydrogels for the inhomogeneous and homogeneous swelling[J]. Smart Mater Struct, 2016, 25:085034-1-085034-13.
[11] EDWARDS S, VILGIS T. The effect of entanglements in rubber elasticity[J]. Polymer, 1986, 27(4):483-492.
[12] YAN H X, JIN B. Influence of microstructural parameters on mechanical behavior of polymer gels[J]. International Journal of Solids and Structures, 2012, 49(3):436-444.
[13] 党存, 颜慧贤, 金波. 缠结拓扑限制作用对凝胶杆屈曲的影响[J]. 力学季刊, 2015, 36(3):399-407.
[14] 张校维, 易成智, 颜慧贤, 等. 网链缠结对凝胶薄膜起皱的影响[J]. 力学季刊, 2016, 37(4):638-647.
[15] 苏恒迪, 颜慧贤, 金波. 基于Slip-Link模型的凝胶大变形与扩散耦合瞬态问题分析[J]. 力学季刊, 2017, 38(4):681-692.
[16] FLORY P J. Thermodynamics of high polymer solutions[J]. The Journal of Chemical Physics, 1942, 10(1):51-61.
[17] HUGGINS M L. Solutions of long chain compounds[J]. The Journal of Chemical Physics, 1941, 9(5):440-440.
[18] HONG W, ZHAO X, ZHOU J, et al. A theory of coupled diffusion and large deformation in polymeric gels[J]. Journal of the Mechanics and Physics of Solids, 2008, 56(5):1779-1793.
[19] KANG M K, HUANG R. A variational approach and finite element implementation for swelling of polymeric hydrogels under geometric constraints[J]. Journal of Applied Mechanics, 2010, 77(6):061004-1-061004-12.
[20] 郭仲衡. 张量(理论和应用)[M]. 北京:科学出版社, 1988.
[21] HONG W, LIU Z S, SUO Z G. Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load[J]. International Journal of Solids and Structures, 2009, 46(17):3282-3289.

分子链缠结对核-壳结构复合凝胶非均匀变形行为的影响

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

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