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基于张力场理论的薄膜褶皱研究评述
引用本文:李云良,田振辉,谭惠丰.基于张力场理论的薄膜褶皱研究评述[J].力学与实践,2008,30(4):8-14.
作者姓名:李云良  田振辉  谭惠丰
作者单位:哈尔滨市南岗区一匡街2号哈工大科学园3010信箱
摘    要:张力场理论是较早提出的研究薄膜褶皱的理论,该理论忽略了薄膜的弯曲刚度, 认为在褶皱 区薄膜处于单轴的应力状态,褶皱的方向为大主应力方向,垂直于褶皱方向的小主应力为零. 基于这种方法提出了很多褶皱的分析模型. 这些分析模型通过引入参数对薄膜的本构关系或 变形梯度进行修正,然后通过数值的方法进行求解,可以得到褶皱形成以后的应力分布,及 褶皱的方向. 其主要的缺点是不能得到褶皱的波长、幅度及数量等信息. 基于能量方法的褶 皱分析,首先要假定褶皱的变形模式,然后通过能量关系得到褶皱幅度和波长的表达式. 本 文对比分析薄膜褶皱的不同分析方法,并指出了薄膜褶皱研究的发展趋势.

关 键 词:薄膜  褶皱  张力场理论  
收稿时间:2007-6-21
修稿时间:2007-10-17

REVIEW OF METHODS OF WRINKLE STUDIES BASED ON TENSION FIELD THEORY
LI Yunliang,TIAN Zhenhui,TAN Huifeng.REVIEW OF METHODS OF WRINKLE STUDIES BASED ON TENSION FIELD THEORY[J].Mechanics and Engineering,2008,30(4):8-14.
Authors:LI Yunliang  TIAN Zhenhui  TAN Huifeng
Abstract:Tension field theory has been used to study membrane wrinkle for a long time. This theory ignores membrane's bending rigidity, and assumes that wrinkling region is in an uniaxial stress condition. Wrinkles are oriented in the direction of the local major principal stress, and the minor principal stress, in the direction perpendicular to the wrinkle direction, is zero. Many wrinkle models are based on this method. They modify the constitutive relation or deformation gradient, then through numerical method, obtain the stress distribution and the direction of wrinkle. The main disadvantage is that it can not obtain some information of wrinkles such as wavelength, amplitude and number. Wrinkle analysis based on energy method first assumes the deforming pattern, and then obtain the expression of wrinkle's amplitude and wavelength through energy relations. This paper compares different models of membrane wrinkle, and discusses development trends of membrane wrinkle research.
Keywords:membrane  wrinkle  tension field theory  constitutive relation
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