硅泡沫的超弹压缩和应力松弛的不确定性表征  

Uncertainty characterization of hyperelastic compression and stress relaxation of silicone foam cushions

作　　者：靳凡[1] 肖世富[1] 何琴淑[1] 贾东[1] 方叶[1] Jin Fan;Xiao Shifu;He Qinshu;Jia Dong;Fang Ye(Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province,(Institute of Systems Engineering, China Academy of Engineering Physics,621999,Mianyang,China))

机构地区：[1]中国工程物理研究院总体工程研究所工程材料与结构冲击振动四川省重点实验室,绵阳621900

出　　处：《应用力学学报》2018年第6期1200-1206,1414,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金项目(11402247);中物院院长基金项目(201402073)

摘　　要：硅泡沫垫层材料由于制备过程中的发泡随机性,在实验测试中往往表现出单轴压缩和应力松弛性能的分散性。本文基于二阶Hyperfoam超弹性本构模型和二阶Prony应力松弛级数模型,由实验数据的规律性,从不确定性量化角度引入各材料参数的相关性,将多参数不确定性转化为单个参数不确定性,分别建立了形式简单且能够表征不确定性因素的超弹压缩和应力松弛本构模型。在此基础上,分别联合实验统计的单值压缩数据和单值松弛数据,反演出了完整的超弹性本构曲线和应力松弛曲线,与实验结果吻合较好,误差不超过2%,合理地预测了材料的压缩和松弛性能演化规律,并为数值模拟提供了直接的材料参数输入条件。Due to the random foaming process in the sinter of silicone foam cushion materials,experimental data obtained from the uniaxial compression and stress relaxation of silicone foam cushions is always of dispersivity. Based on the second-order Hyperfoam model and the second-order Prony series expression of relaxation modulus, an easy-to-implement hyperelastic constitutive model and stress relaxation model are established,respectively.This is performed by introducing the correlation of material parameters from uncertainty quantification and by transforming many parameter uncertainties to a single parameter uncertainty.In addition,through integration of single-value experimental data and the developed models,full hyperelastic constitutive curves and stress relaxation curves are reversed,respectively.Agreeing well with the experimental data with error less than 2%,these reversed curves predict reasonable variation trends in the mechanical behaviors of Silicone foam cushions,and may provide direct input of material parameters for numerical simulating.

关 键 词：硅泡沫 超弹性 应力松弛 不确定性量化 Hyperfoam模型 

分 类 号：O341[理学—固体力学]