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本文从交联-缠结网和炭黑填充硫化胶的大形变弹性分子理论出发,推导出溶胀条件下聚合物网的四种应力-应变关系式(单向拉伸,等轴和不等轴双向拉伸和纯剪切).成功地将溶胀交联网弹性状态方程同高聚物的体积分数V_2用三个分子参数C_1~′,C_2~′,和C_3~′联系起来,并对单向拉伸的应力-应变关系式进行了实验验证,较好地解释了V_2同C_1~′,C_2~′同C_3~′的依赖关系,表明缠结对模量的贡献只能达到一个非零的极限值.结果证明,溶胀后聚合物网大形变弹性分子理论能很好地预测溶胀聚合物网大形变的弹性力学行为,并为用溶胀法定量测定交联度提供理论依据.
In this paper, four kinds of stress-strain relations of polymer network under swelling conditions (uniaxial stretching, equiaxial and not-equiaxial) are derived from the theory of large deformation elastic molecule of crosslinked-entangled nets and carbon black-filled vulcanizates. Biaxial stretching and pure shear.) The elastic state equation of the swollen crosslinked network was successfully connected with the volume fraction V 2 of the polymer by three molecular parameters C 1 ~ ’, C 2 ~’, and C 3 ~ Tensile stress-strain relationship of the experimental verification, a better explanation of the V_2 with C_1 ~ C_2 ~ C_3 ~ ’dependence, indicating that the contribution of the entanglement modulus can only reach a non-zero limit The results show that the theory of macromolecular elastic deformation of the polymer network after swelling can predict the elastic behavior of the macroscopic deformation of the expanded polymer network well and provide a theoretical basis for the quantitative determination of the degree of crosslinking by the swelling method.