论文标题

随机纤维网络和断裂韧性对软材料中空化发作的影响

Effect of Random Fiber Network and Fracture Toughness on the Onset of Cavitation in Soft Materials

论文作者

Hasan, Fuad, Mahmud, Kah Al, Khan, Md Ishak, Kang, Wonmo, Adnan, Ashfaq

论文摘要

实验和理论观察已经同意,软材料中空化的发作需要比纯水更高的拉伸压力。需要额外的拉伸压力,因为气泡需要克服软材料中的弹性能量。在此手稿中,我们开发了两个模型来研究和量化额外的拉伸压力。在第一种方法中,我们提出了一个基于应变的随机纤维网络(RFN)故障标准,其中考虑了腔泡和RFN之间的相互作用。准备明胶样品以不同的浓度制备,并使用SEM图像来研究RFN的微观结构特性。引入了单位细胞模型来评估RFN的几何和机械性能。然后将网络应变能公式与气泡生长结合在一起,并将临界条件设置为纤维最终故障应变。我们将软材料视为均匀的超弹性材料,并在第二种方法中提出了基于断裂的故障标准。考虑到量化额外的拉伸压力的临界能量释放速率。然后将这两种模型与现有的空化开始标准进行比较。该验证是通过阈值拉伸压力的实验结果来完成的,对于不同的明胶浓度。我们发现,由于网络中孔径的较大分布,成核压力类似于水。两种模型都可以适度地预测明胶浓度中间范围内的额外拉伸压力。对于低浓度,该网络的非亲属起着重要作用,必须纳入其中。另一方面,对于较高的浓度,熵变形主导,应变能制剂不足。

Experimental and theoretical observations have agreed that the onset of cavitation in soft materials requires higher tensile pressure than pure water. The extra tensile pressure is required since the cavitating bubble needs to overcome the elastic energy in soft materials. In this manuscript, we have developed two models to study and quantify the extra tensile pressure. In the first approach, we proposed a strain energy based random fiber network (RFN) failure criteria in which interaction between the cavitating bubble and RFN is considered. Gelatin samples are prepared for different concentrations, and SEM images are used to study the microstructural properties of the RFN. A unit-cell model is introduced to evaluate the geometrical and mechanical properties of the RFN. The network strain energy formulation is then coupled with the bubble growth, and the critical condition is set as the fibers ultimate failure strain. We considered soft materials as homogeneous hyper-elastic Ogden material, and fracture-based failure criteria are proposed in the second approach. The critical energy release rate is considered for quantifying the extra tensile pressure. Both the models are then compared with the existing cavitation onset criteria of rubber like materials. The validation is done with the experimental results of threshold tensile pressure for different gelatin concentrations. We have found that due to the large distribution of the pore size in the network, the nucleation pressure is similar to water. Both models can moderately predict the extra tensile pressure within the intermediate range of gelatin concentrations. For low concentration, the network's non-affinity plays a significant role and must be incorporated. On the other hand, for higher concentrations, the entropic deformation dominates, and strain energy formulation is not adequate.

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