LOCAL BENDING OF THIN FILM ON VISCOUS LAYER

来源 :Acta Mechanica Solida Sinica | 被引量 : 0次 | 上传用户:wolfseason
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
Effects of deposition layer position and number/density on local bending of a thin film are systematically investigated. Because the deposition layer interacts with the thin film at the interface and there is an offset between the thin film neutral surface and the interface, the deposition layer generates not only axial stress but also bending moment. The bending moment induces an instant out-of-plane deflection of the thin film, which may or may not cause the socalled local bending. The deposition layer is modeled as a local stressor, whose location and density are demonstrated to be vital to the occurrence of local bending. The thin film rests on a viscous layer, which is governed by the Navier-Stokes equation and behaves like an elastic foundation to exert transverse forces on the thin film. The unknown feature of the axial constraint force makes the governing equation highly nonlinear even for the small deflection case. The constraint force and film transverse deflection are solved iteratively through the governing equation and the displacement constraint equation of immovable edges. This research shows that in some special cases, the deposition density increase does not necessarily reduce the local bending. By comparing the thin film deflections of different deposition numbers and positions, we also present the guideline of strengthening or suppressing the local bending. Effects of deposition layer position and number / density on local bending of a thin film are systematically investigated. Because the deposition layer interacts with the thin film at the interface and there is an offset between the thin film neutral surface and the interface, the deposition layer generates not only axial stress but also bending moment. The bending moment induces an instant out-of-plane deflection of the thin film, which may or may not cause the socalled local bending. The deposition layer is modeled as a local stressor, whose location and density are demonstrated to be vital to the occurrence of local bending. which is governed by the Navier-Stokes equation and behaves like an elastic foundation to exert transverse forces on the thin film. The unknown feature of the axial constraint force makes the governing equation highly nonlinear even for the small deflection case. The constraint force and the film transverse deflection are solved iteratively through the governing equation and the displacement constraint equation of immovable edges. This research shows that in some special cases, the deposition density increase does not 必要 reduce the local bending. By comparing the thin film deflections of different deposition numbers and positions, we also present the guideline of strengthening or suppressing the local bending.
其他文献
We review recent work on narrowband orthogonally polarized optical RF single sideband generators as well as dual-channel equalization,both based on high-Q integ
在新课标的理念中,非常注重学生赏文及情感的培养。而古代诗歌博大精深,意韵深刻并且饱含着哲理,学好古诗,将大大有利于陶冶情操,提高人文修养及丰富学生的想象。因而在古诗
《语文课程标准》对阅读要求中有这样的概括:“在通读课文的基础上,理清思路,理解主要内容,品味和推敲重要词句在语言环中的意义和作用.”;“品味作品中富于表现力的语言.”
Lithium niobate on insulator(LNOI)is rising as one of the most promising platforms for integrated photonics due to the high-index-contrast and excellent materia
(一)  袁世凯亦可谓是治世之能臣,乱世之奸雄。传说袁氏“相貌堂堂,有帝王之仪,不怒而威”。据山西“土皇帝”阎锡山晚年回忆道:我一生见过了多少位咱国家的元首,如孙中山、黎元洪、徐世昌、冯国璋、曹锟,甚至张勋、段祺瑞至蒋介石等,没有一个像袁世凯的两道目光那样虎视眈眈的逼人,使人不敢仰视。他被袁世凯召见3次,其中第一次召见给他留下了终生难忘的印象,并为此谈袁色变,心有余悸。  袁世凯在篡夺了中华民国正
The past 20 years have witnessed the rapid growth of photonic integration circuits(PIC)technology,which has been warmly embraced by both academia and the indust
期刊
在川西地区,由砂砾石与黏土颗粒构成的混合土路基经常会发生沉降变形问题。对于交通荷载作用下土体中的累积变形,可通过建立循环荷载作用下的动本构模型进行描述。在边界面弹
Narrow linewidth light source is a prerequisite for high-performance coherent optical communication and sensing.Waveguide-based external cavity narrow linewidth
活着,要把生命放在一定的高度上仰视,活出人生的精彩,活出生命的宽度。——题记为新闻工作,他一次次放弃了私利,十多年,当身边的同事一个个转了岗位换了新工作时,他依然坚守
由于电气行业的技术进步非常快,因此教师必须坚持自学,及时地更新自己所掌握的知识和技能,还要制订先进的教学计划,积极使用新技术。当然,还有一点不可忽视,那就是加强与学生之间的