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首页> 外文期刊>International Journal of Solids and Structures >Stress-strain relations for hydrogels under multiaxial deformation
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Stress-strain relations for hydrogels under multiaxial deformation

机译：多轴变形下水凝胶的应力应变关系

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摘要

Constitutive equations are derived for the elastic response of swollen elastomers and hydrogels under an arbitrary deformation with finite strains. An expression is developed for the free energy density of a polymer network based on the Flory concept of flexible chains with constrained junctions and solvent-dependent reference configuration. The importance of introduction of a reference configuration evolving under swelling is confirmed by the analysis of experimental data on nanocomposite hydrogels subjected to swelling and drying. Adjustable parameters in the stress-strain relations are found by fitting observations on swollen elastomers, chemical gels (linked by covalent bonds and sliding cross-links), and physical gels under uniaxial stretching, equi-biaxial tension, and pure shear. Good agreement is demonstrated between the observations and results of numerical simulation. A pronounced difference is revealed between the effect of solvent content on elastic moduli of chemical and physical gels.
机译：导出了在有限应变的任意变形下溶胀的弹性体和水凝胶的弹性响应的本构方程。基于具有约束连接和溶剂依赖性参考构型的柔性链的弗洛里概念，开发了一种聚合物网络自由能密度的表达式。通过对经受膨胀和干燥的纳米复合水凝胶的实验数据的分析证实了引入在膨胀下发展的参考构型的重要性。通过对溶胀的弹性体，化学凝胶（通过共价键和滑动交联连接）和物理凝胶在单轴拉伸，等双轴拉伸和纯剪切下的拟合观察，可以找到应力-应变关系中的可调参数。观测结果与数值模拟结果之间显示出良好的一致性。揭示了溶剂含量对化学和物理凝胶的弹性模量的影响之间存在明显差异。

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