Huang Yunke, Hou Hong, Oterkus Selda, Wei Zhengyu, Zhang Shuai
Department of Environmental Engineering, School of Marine Science and Technology, Northwestern Polytechnical University, 127 West Youyi Road, Beilin District, Xi'an, Shaanxi,710072, People's Republic of China.
Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, 100 Montrose Street, Glasgow, G4 0LZ, United Kingdom.
J Acoust Soc Am. 2018 Oct;144(4):2269. doi: 10.1121/1.5063355.
This study focuses on the constitutive model, including temperature and pressure effects, to investigate the dynamic, mechanical, and acoustic properties of elastomers in the frequency domain under different underwater conditions. The developed constitutive relation is based on the Havriliak-Negami (H-N) model by implementing experimental Young's modulus data and using the Williams-Landel-Ferry (WLF) shift function for relaxation time calculation. The H-N model accurately captures the dynamic mechanical modulus for a wide range of frequencies for constant temperature and pressure based on measured dynamic mechanical thermal analysis data. Since the WLF shift function is related with the relaxation time for different temperatures and pressures, the proposed model represents a simple and accurate prediction of the dynamic modulus for varying external conditions. The relationship between Young's modulus and the acoustic properties of the rubber structure can be established by investigating the hydro-wave propagation process. The predictions from the proposed model are verified by comparing with mechanical and acoustic experimental data at different temperatures and pressures. Additionally, the parametric study is conducted to investigate the effect of H-N parameters on mechanical and acoustic properties of elastomer materials. The proposed model can be used to predict the mechanical and acoustic properties in different environmental conditions accurately.
本研究聚焦于本构模型，包括温度和压力效应，以探究不同水下条件下弹性体在频域中的动态、力学和声学特性。所建立的本构关系基于哈夫里利亚克-内加米（H-N）模型，通过引入实验得到的杨氏模量数据，并使用威廉姆斯-兰德尔-费里（WLF）位移函数来计算松弛时间。基于实测的动态力学热分析数据，H-N模型能准确捕捉在恒定温度和压力下宽频率范围内的动态力学模量。由于WLF位移函数与不同温度和压力下的松弛时间相关，所提出的模型能够对不同外部条件下的动态模量进行简单而准确的预测。通过研究水波传播过程，可以建立杨氏模量与橡胶结构声学特性之间的关系。将所提模型的预测结果与不同温度和压力下的力学及声学实验数据进行比较，验证了该模型的有效性。此外，还进行了参数研究，以探究H-N参数对弹性体材料力学和声学性能的影响。所提出的模型可用于准确预测不同环境条件下的力学和声学性能。
