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初始缺陷的随机统计规律在三元乙丙本构模型中的应用
张中水,许进升,陈 雄,蒋 晶
(南京理工大学 机械工程学院,江苏 南京 210094)
摘要:
为了研究材料初始缺陷对其力学行为的影响,针对三元乙丙(EPDM)包覆层材料进行准静态力学实验,并且采用统计学方法对实验结果进行分析,获取以随机损伤参数函数表示的有效实验结果的分布规律,通过引入随机损伤参数函数扩展Ogden模型,建立能够描述EPDM初始缺陷的本构方程。结果表明:实验结果以94%的概率落入该扩展模型所估计的置信程度为90%的置信区间,该模型对于考虑初始缺陷的EPDM包覆层材料的力学行为预测结果较好。
关键词:  初始缺陷  随机变量  统计规律  本构模型  单轴拉伸  三元乙丙
DOI:
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基金项目:高能聚合物冲击载荷下热-力耦合模型研究(BK20140772)。
Random Statistical Regularity of Initial Damage in Application of Constitutive Model of EPDM
ZHANG Zhong-shui,XU Jin-sheng,CHEN Xiong,JIANG Jing
(School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China)
Abstract:
In order to study the impact of initial damage of the material on the mechanical properties,quasi-static mechanical tests of EPDM were conducted and the distribution regularity of effective test results was obtained by analyzing the test results statistically. A constitutive model which is capable of expressing the initial defects of EPDM was built by introducing the random damage variable to Ogden model. The test results fall in a confidence interval with a confidence level of 90% estimated by the extended model,with a probability of 94%. The proposed model has excellent estimation results for mechanical properties of EPDM inhibitor with initial defects.
Key words:  Initial defect  Random variable  Statistical regularity  Constitutive model  Uniaxial tension  EPDM