An investigation into the three‐dimensional stress‐birefringence‐strain relationship in elastomers
An investigation into the three‐dimensional stress‐birefringence‐strain relationship in elastomers
复制标题
弹性体三维应力-双折射-应变关系的研究
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
Phillip A. Przybylo
中科院分区：
文献类型：
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作者：
E. Arruda;Phillip A. Przybylo
将非高斯弹性体单链双折射的统计理论与橡胶弹性的链网描述相结合，建立了弹性体中应变、双折射和应力之间的关系，该关系适用于广义应变状态下的大变形。结果是一个基于内变量的全三维橡胶弹性本构模型，其中测量弹性体在一种变形状态下应变时的双折射特性表征了弹性体的光学各向异性响应。同时测量应力应变响应提供了完整表征材料力学各向异性所需的橡胶模量和极限网络扩展特性。一旦使用单次大变形实验进行表征，则无需调整任何模型参数即可预测弹性体在其他变形状态下的双折射和应力响应。该理论与弹性体在单轴拉伸和压缩下的大应变变形的实验研究文献进行了比较，其中同时记录了变形弹性体的双折射和应力响应。
The statistical theory of the birefringence of an individual non-Gaussian elastomer chain is used together with a chain network description of rubber elasticity to develop a relationship among the strain, birefringence, and stress in elastomers, valid for large deformations under generalized strain states. The result is a fully three-dimensional internal variable based constitutive model of rubber elasticity in which measurement of the elastomeric birefringence during straining in one deformation state characterizes the optically anisotropic response of the elastomer. Simultaneous measurement of the stress vs. strain response provides the rubbery modulus and limiting network extensibility properties needed to completely characterize the mechanical anisotropy of the material. Once characterized using the single, large deformation experiment, the birefringence and stress responses of the elastomer in other deformation states may then be predicted without adjusting any model parameters. The theory is compared to experimental studies from the literature of large strain deformations of elastomers in uniaxial tension and compression for which the exhibited birefringence and stress responses of deforming elastomers have been simultaneously recorded.