Constitutive modeling of visco‐hyperelastic behavior of double‐network hydrogels using long‐term memory theory,Journal of Applied Polymer Science

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Constitutive modeling of visco‐hyperelastic behavior of double‐network hydrogels using long‐term memory theory
Journal of Applied Polymer Science ( IF 2.7 ) Pub Date : 2020-09-19 , DOI: 10.1002/app.49894
Mohammad Hossein Javadi ₁ , Hossein Darijani ₁ , Mohammad Niknafs ₁

Affiliation

Double‐network hydrogels with viscoelastic behavior are appropriate materials for biomechanical applications. In this article, the standard linear solid (SLS) rheological model for the linear viscoelastic materials is generalized to the viscoelastic materials with large nonlinear deformations. Based on this viewpoint, the constitutive equation is proposed as sum of two parts including the strain‐dependent elastic stress, and the viscous stress, which depends on the strain and strain rate. The elastic part of the stress is modeled via considering a hyperelastic strain energy function, while the main core of the viscous stress part requires a time‐dependent weight function to satisfy the long‐term memory fading principle. In addition, the weight function is proposed such that it can capture the mechanical behavior trend corresponding to the strain and strain rate for a double‐network hydrogel in the relaxation test. Finally, to evaluate the performance of the proposed constitutive equation for the mechanical behavior modeling of double‐network hydrogels, the tests on these materials have been used, and the material parameters are determined from fitting the experimental results to the theory. The agreement of test and theory results showed that the proposed model is capable to model the mechanical behavior of double‐network hydrogels.

中文翻译：

基于长期记忆理论的双网络水凝胶粘-超弹性行为的本构模型

具有粘弹性行为的双网络水凝胶是生物力学应用的合适材料。在本文中，将线性粘弹性材料的标准线性固体（SLS）流变模型推广到非线性变形较大的粘弹性材料。基于这种观点，本构方程被提出为包括应变相关的弹性应力和粘滞应力这两个部分的总和，后者取决于应变和应变率。应力的弹性部分是通过考虑超弹性应变能函数来建模的，而粘性应力部分的主核需要一个随时间变化的权重函数，以满足长期记忆衰减的原理。此外，提出权重函数，以便可以在松弛测试中捕获与双网络水凝胶的应变和应变率相对应的力学行为趋势。最后，为了评估所提出的本构方程在双网络水凝胶力学行为建模中的性能，已对这些材料进行了测试，并通过将实验结果与理论相吻合来确定材料参数。实验与理论结果的吻合表明，该模型能够对双网状水凝胶的力学行为进行建模。已经对这些材料进行了测试，并通过将实验结果与理论相吻合来确定材料参数。实验与理论结果的吻合表明，该模型能够对双网状水凝胶的力学行为进行建模。已经对这些材料进行了测试，并通过将实验结果与理论相吻合来确定材料参数。实验与理论结果的吻合表明，该模型能够对双网状水凝胶的力学行为进行建模。

更新日期：2020-11-17

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