流变简单材料力学性能主曲线的构建新方法  

A NOVEL APPROACH FOR CONSTRUCTING MASTER CURVES OF RHEOLOGICAL SIMPLE MATERIAL

作　　者：刘秀[1] 罗文波[1] 李明[1] 

机构地区：[1]湘潭大学土木工程与力学学院,湘潭411105

出　　处：《固体力学学报》2015年第3期223-232,共10页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(11172256);清华大学汽车安全与节能国家重点实验室开放课题(14KF012);湖南省教育厅重点项目(13A098);湖南省科技计划项目(2014TT2031)资助

摘　　要：提出一种新的构建流变简单材料力学性能主曲线的移位方法,该方法以移位曲线与参考曲线围成的交叠区域的"面积"为判定要素,推导出移位因子的计算公式.公式形式简单、易于计算;公式所涉及的参量均来自实验数据自身,不用进行插值即可求得移位因子,且得到的移位因子具有唯一性,避免了手动移位主观判断的不确定性及数值移位方法因拟合带来的误差问题.由于推导过程是一种数学计算的过程,因此,只要材料满足流变简单性,则该移位公式均能适用.此外,在构建主曲线时,首次考虑了含有明显峰值的实验曲线的移位情况,使所提出的方法具有更强的适用性.最后,以构建炭黑填充橡胶的动态力学性能主曲线的实例验证了该方法的有效性.This study presents a novel approach for constructing master curves of rheological material. The approach conducts a calculation formula of the shift factor,which takes the area of the overlapping re- gion between the shift curve and the reference curve as the determinant factor. The formula is succinct and clear, All the parameters come from the experimental data, that is to say, we can calculate the shift factor without interpolation or fitting. Thus, it not only can ensure the uniqueness and high accuracy but also can escape from the uncertainty of manual shifting subjective judgment and the error analysis of fitting of nu- merical shifting method. Meanwhile, because of the mathematical computing process of derivation, the for- mula is appropriate for all the materials satisfying the rheological simplicity. In addition,the applicability of the approach can be further strengthened by taking the significant peak value of the test curve into consid- eration. The effectiveness of the proposed approach is verified by an example of constructing dynamic me- chanic property master curves of carbon-black rubber.

关 键 词：时间-温度等效原理 主曲线 移位因子 移位算法 多边形面积 

分 类 号：TB301[一般工业技术—材料科学与工程]