分子链缠结对纤维增强凝胶屈曲的影响
Effect of chain entanglement onthe buckling of fiber-reinforced hydrogels
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摘要: 纤维增强凝胶横向受拉超过一定限度时,纤维与凝胶间的相互作用会导致复合材料纵向收缩屈曲。为分析凝胶分子链段缠结对纤维增强凝胶抗拉性能以及屈曲行为的影响,利用虚功原理建立纤维增强凝胶本构方程,结合压杆稳定理论给出纤维屈曲临界拉力条件,基于Slip-Link链缠结模型计算了不同缠结条件下纤维增强凝胶的抗拉性能和纤维屈曲时的横向临界拉力与临界伸长比。研究结果表明:凝胶分子链交联点越多、不可伸展性越强、分子链滑移参数越大时,凝胶越不易变形,抗拉性能越强,纤维杆屈曲时所需施加的横向临界拉力越大。Abstract: When the transverse tension of fiber-reinforced hydrogel composites exceeds a certain limit, the interaction between fiber and hydrogel causes the longitudinal shrinkage and buckling of the composite materials. In order to analyze the influence of chain-entanglement on the tensile properties and buckling behavior of fiber-reinforced hydrogel composites, the constitutive equation of fiber-reinforced hydrogel composite was established by means of virtual work principle and the critical tension condition was given based on the stability theory of compression bar. Then by using the Slip-Link model to analyse the influences of entanglement conditions on the tensile properties of fiber-reinforced hydrogel composite, and the buckling critical tension and critical elongation were calculated. The results show that the more cross-linking points of the molecular chain, the stronger the inextensibility and the larger the slip parameter of the molecular chain, the more difficult it is to deformation and the larger the critical tensile force required to be applied when the composite buckles.
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