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金属薄膜单轴拉伸过程中的等效性能研究

  • 许巍 ,
  • 杨金水
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  • 1. 中国科学院力学研究所非线性力学国家重点实验室,北京 100190;
    2. 西安交通大学强度与振动教育部重点实验室,西安 710049

收稿日期: 2009-10-16

  修回日期: 2009-12-18

  网络出版日期: 2010-05-15

基金资助

国家自然科学基金(10721202)资助 

Effective properties of metal films during uniaxial stretching

  • XU Wei ,
  • YANG Jin-Shui
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  • 1. LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
    2. MOE Key Laboratory for Strength & Vibration, Xian Jiaotong University, Xian 710049, China

Received date: 2009-10-16

  Revised date: 2009-12-18

  Online published: 2010-05-15

摘要

关注单轴拉伸条件下裂纹萌生扩展阶段的金属薄膜性能变化.通过运用Parallel、Maxwell和Hashin-Shtrikman等效理论,建立拉伸过程中金属薄膜的裂纹模型,得出了电阻值与应变的关系,并与现有实验结果进行了比较.结果表明,Maxwell等效理论条件下的理论值与实验结果吻合较好.然后运用有限元计算,比较了拉伸能量法和均匀化方法在计算等效弹性模量时的准确性,最后建立了等效电阻和等效弹性模量以及损伤变量的关联.

本文引用格式

许巍 , 杨金水 . 金属薄膜单轴拉伸过程中的等效性能研究[J]. 中国科学院大学学报, 2010 , 27(3) : 314 -322 . DOI: 10.7523/j.issn.2095-6134.2010.3.003

Abstract

This paper focuses on the variation in properties of the metal films under the conditions of uniaxial stretching. By employing the effective theories (i.e. Parallel, Maxwell, and Hashin-Shtrikman theories), cracks models are established to obtain the relation between effective electric-resistance and strain. The theoretical solutions are compared with the previous experimental results. It is shown that the Maxwell solution agrees well with the experimental results. Furthermore, the tensile strain energy method and the homogenous method could be used to estimate the effective Youngs modulus of films during the deformation, and the accuracies of the estimation are subsequently compared using the finite elements method. The results show that the homogenous method is better. Finally, the correlations of the effective electric-resistance with effective Youngs modulus and damage variable are established.

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