基于辛本征值方法的受约束介电弹性体中褶皱不稳定性的分析

辛弹性力学已广泛应用于弹性学中各种边值问题的精确解、计算表面波模式以及预测多层超弹性薄膜中的表面褶皱。本文展示了辛分析框架还可应用于受约束介电弹性体中的表面褶皱。机械和电位移向量是两个基本变量来描述介电弹性体中机械变形与电场紧密耦合。褶皱的临界电压可以通过引入基本变量的对偶变量来从辛本征值问题中解决。本文采用扩展的W-W（Wittrick-Williams）算法和精确的积分方法,准确而高效地解决制定的辛本征值问题的本征值。通过将褶皱电压和波数与有无表面能的褶皱基准结果进行比较,验证了辛分析的有效性。辛分析框架简洁且适用于其他不稳定问题,如分层电介质弹性体、磁弹性不稳定性以及层压复合结构的微观和宏观不稳定性。     

Substrate‐Induced Controllable Wrinkling for Facile Nanofabrication

In this work, we report a facile and effective strategy to generate patterned wrinkles. This strategy includes first adhering a thin poly(dimethylsiloxane) (PDMS) film (<82 µm) on porous conductive adhesive tape (CAT), followed by sputter coating of Au onto PDMS under vacuum condition, which results in formation of patterned wrinkles on the Au‐PDMS bilayer. CAT was found to induce local stretching of PDMS thin film, which was the key for controlled wrinkle formation. Compared with previous wrinkling methods, our strategy is simpler and gives smaller feature sizes (down to 300 nm).

     

空间薄膜结构的褶皱形变预测

空间充气结构技术是一项全新的空间结构构建技术,基于该技术的空间充气结构是未来空间任务的主要需求对象．该结构主要由薄膜构成,因此结构形面精度的保持是关键问题．褶皱是薄膜特有的现象,它的存在会严重影响结构形面精度,因此进行褶皱研究很有必要．根据屈曲理论联合薄膜褶皱的实际构型建立了薄膜结构褶皱的预测模型,分析了矩形平面薄膜受面内水平剪切情况下的褶皱,得到了褶皱幅度和褶皱波长以及薄膜结构产生褶皱时的临界压缩应力,通过与已有文献结果及本文实验结果的比较验证了该分析方法的有效性和结果的正确性．     

降落伞膜索非线性有限元模拟

用膜单元和索单元模拟降落伞织物绳索系统,基于完全拉格朗日格式的非线性有限元方法编程计算降落伞的结构动力学特性。采用增量与迭代混合方法改善非线性计算的收敛特性并结合HHT隐式时间推进方法减小整体迭代计算量。使用修正应力应变张量导数的方法模拟膜单元单向应力状态并针对膜单元和索单元分别进行了非线性有限元计算验证。最后针对C-9型降落伞建立三维有限元模型,根据设定流速对伞衣施加均匀压强载荷,将模拟展开的结果与使用相同模型、不同方法商业软件的文献进行对比,显示了隐式非线性有限元方法模拟降落伞膜索系统大变形动力学的能力。     

Wrinkling of a bilayer resting on a soft substrate under in-plane compression

The wrinkling problem of a bilayer film resting on a soft substrate under in-plane compression is investigated via theoretical analysis and numerical simulations. Such a system may undergo two different wrinkling modes, namely surface wrinkling of the top single layer on a composite substrate or bilayer wrinkling on a homogeneous substrate, depending on the geometric and material parameters. In the present paper, a theoretical solution is first derived for the former case, while a solution available in the literature is applied for the latter. The solution derived here can degenerate both to the classical solution for a stiff layer resting on a semi-infinite soft substrate and that for a stiff layer lying on a compliant substrate of finite thickness. A series of finite element simulations are performed to demonstrate the accuracy of the theoretical solution. In addition, it is found that, at a given compressive strain, a certain change in the elastic modulus of the intermediate layer may lead to a dramatic surface pattern transformation between the two wrinkling modes, indicating a novel approach to realise surface pattern switching.     

逆断层作用下埋地管道局部屈曲行为研究

为研究断层作用下埋地管道的局部压溃和起皱行为,以黄土地层埋地管道为例,建立了管土耦合数值计算模型,分析了逆断层作用下埋地管道的变形及局部屈曲过程,研究了内压、径厚比及地层位错量对管道局部屈曲模式的影响规律。结果表明,随着地层位错量增大,断层面两侧管道出现应力集中,并逐渐演化为局部屈曲,埋地管道变形曲线由S形变为Z形,断层面两侧的管道变形并非呈对称或反对称分布,上盘区的管道屈曲现象较下盘区更为严重;地层位错量大于3倍管径时,管道轴向应变迅速增大;无压管道和低压管道的局部屈曲模式为压溃,而随着内压的增大,管壁屈曲模式由压溃变为起皱,且管道起皱幅度随着内压的增大而增大;上盘区管段屈曲部位与断层面之间距离受内压、径厚比影响较小,而压溃模式下下盘区屈曲部位与断层面之间的距离随着内压的增大而减小,起皱模式下二者之间的距离随着内压的增大而增大;不同地层位错量作用下,管道最大轴向应变随径厚比的变化呈现出不同变化规律。     

Surface Forces Driven Wrinkling of an Elastic Half-Space Coated with a Thin Stiff Surface Layer

This paper studies surface instability of a coated semi-infinite linear elastic body interacting with another flat rigid body through surface van der Waals (vdW) forces under plane strain conditions. The emphasis is on the effect of the surface coating layer on the wavelength of surface wrinkling. It is shown that the surface of the coated elastic half-plane is always unstable even in the presence of a very stiff coating layer. However, the numerical results show that the stiff coating layer has a significant effect on the wavelength of the surface instability mode and can effectively prevent the surface from short-wavelength wrinkling. In particular, the surface tangential displacement associated with the surface instability vanishes when the elastic half-plane is incompressible. In this case, the in-plane rigidity of the coating layer has no effect on surface instability while the bending stiffness of the coating layer has an effect on the wave-length of the surface instability mode. Furthermore, the Poisson’s ratio of elastic half-plane has a significant role in the surface instability and the associated wave-length. C. Q. Ru is on leave from the University of Alberta, Edmonton, T6G. 2G8, Canada.     

对角受拉方膜褶皱变形幅值的理论预测及实验验证

柔性薄膜结构广泛应用于航天飞行器的关键部件.形面平整度是影响薄膜结构性能的主要因素之一.褶皱幅值是评价薄膜反射面天线形面平整度的重要指标.褶皱幅值的大小与垂直于褶皱方向的横向应变密切相关.本文基于薄板稳定性理论,针对对角受拉方形薄膜建立了一个能够准确预测其褶皱变形幅值的理论模型.该模型考虑了横向拉伸力对薄膜变形的影响,将垂直于褶皱方向的位移分解为由泊松效应造成的横向收缩位移、由面外变形造成的褶皱位移以及由横向拉伸力造成的拉伸位移三个部分,重新推导了褶皱幅值的理论公式. 基于数字图像相关技术,对受拉方形薄膜进行了散斑实验测试. 利用双目视觉三维测量系统,测量了方形薄膜的三维位移场, 获得了薄膜的三维变形形貌和褶皱波形图,研究了褶皱幅值与拉伸载荷之间的非线性关系. 与已有理论模型相比,该模型进一步提高了褶皱幅值的计算精度, 与实验结果吻合良好.本文呈现的理论研究可为精确数值模型的建立及算法实现提供有意义的指导.