A general expression for linearized properties of swollen elastomers undergoing large deformations
A general expression for linearized properties of swollen elastomers undergoing large deformations
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DOI：
10.1016/j.jmps.2019.103805
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发表时间：
2020-02-01
影响因子：
5.3
通讯作者：
Chester, Shawn A.
中科院分区：
文献类型：
--
作者：
Okumura, Dai;Kawabata, Hironori;Chester, Shawn A.
在这项研究中，我们建立了膨胀弹性体在经历大变形时的线性化特性的一般表达式。膨胀弹性体的自由能函数符合Frenkel-Flory-Rehner假设，即弹性贡献和混合贡献是相加的。弹性应变能并不假定具有特定的形式，而只是假定为一组应变不变量的函数。利用线性化方法，得到了任意基态下的杨氏模数和泊松比的一般表达式。所导出的表达式包括特征项，其具有描述由两个不同条件规定的极端状态之间的瞬时状态的能力。验证是通过估计剪切模数并考虑原始的Flory-Rehner框架进行的。此外，为了说明该方法的有效性，我们还使用了一个扩展的Gent模型来解释极限链延伸性和第二应变不变量之间的相互作用。(C)2019爱思唯尔有限公司。保留所有权利。
In this study, we develop a general expression for the linearized properties of swollen elastomers undergoing large deformations. The free energy function of swollen elastomers is assumed to obey the Frenkel-Flory-Rehner hypothesis, i.e., the elastic and mixing contributions are additive. The elastic strain energy is not assumed to have a particular form but is assumed only to be a function of a set of strain-invariants. A linearization procedure is used to obtain the general expression for the Young's modulus and Poisson's ratio under an arbitrary base state. The derived expression includes a characteristic term, which has the ability to describe a transient state between the extreme states prescribed by two distinct conditions. The verification is performed by estimating the shear modulus and considering the original Flory-Rehner framework. In addition, to show the usefulness, an extended Gent model is examined to elucidate the interactions between limiting chain extensibility and the second strain-invariant. (C) 2019 Elsevier Ltd. All rights reserved.