本文主要研究内容
作者李世琛（2019）在《薄膜结构翘曲研究》一文中研究指出：薄膜结构在工业生产和尖端技术中有着广泛的应用,而翘曲现象在受压薄膜中非常常见,因此深入研究薄膜结构的翘曲发生和演化在工业生产和尖端科学研究中都有着非常重要的意义。一方面,我们需要抑制功能性薄膜材料发生翘曲以维护其有效周期;另一方面,可调控的薄膜结构翘曲形貌在表面形貌调控、微流器件设计、柔性电子器件制造以及薄膜结构力学参数测量中有着广泛的应用。本文主要通过Foppl-von Karman方程从理论上研究薄膜结构翘曲的后屈曲失稳模式和后屈曲形貌以及翘曲结构受到薄膜裂纹的影响,另外辅以数值模拟手段验证理论分析结果。首先研究了顶部裂纹对于直条状鼓包和电话线鼓包翘曲形貌的影响。我们通过总结文献中关于顶部裂纹的工作来修正已有理论模型存在的问题,从而通过引入顶部裂纹导致的中面位移改进了带顶部裂纹的直条状鼓包的理论结果。而后通过环状鼓包近似方法将带顶部裂纹的直条状鼓包的结果推广到了电话线鼓包中,从而研究了复杂周期顶部裂纹影响下的电话线鼓包形貌。然后给出了顶部裂纹和滑移边界对于直条状鼓包稳定性的影响。顶部裂纹和低泊松比会使得直条状鼓包有利于出现对称的失稳并形成鼓泡,而滑移边界条件和高泊松比则更有利于直条状鼓包出现反对称失稳并形成电话线鼓包。我们还建立了带顶部裂纹的非线性模拟模型,所得结果很好地验证了线性稳定性分析的结果。随后通过坐标变换方法和Koiter展开方法建立了直条状鼓包失稳后屈曲和电话线鼓包翘曲的改进模型,其结果表明周期弯曲边界不利于平板翘曲的发生。此外,我们还进一步通过近似方法求解这个模型得到了直条状鼓包失稳后屈曲和简单周期弯曲边界情形的一阶理论近似解,其中引入了应力的影响并且可以给出直条状鼓包失稳后屈曲的总弹性能变化,但是这个结果存在无法描述脊部高度的变化,这可能是缺少高阶项影响导致的。最后通过数值手段验证了改进电话线鼓包模型的有效性。其中的一阶数值解与一阶理论近似解符合得很好,但是仍然无法描述脊部高度的变化。而改进之后的二阶数值解准确描述脊部高度的变化并且和有限元模拟结果符合得很好,充分说明了改进电话线鼓包模型的有效性。此外,弯曲边界鼓包的弹性能在应力稍大于Euler应力而且显著小于直条状鼓包失稳应力时便会小于直边情形。这个结果指出电话线鼓包可能不经过直条状鼓包失稳而是直接由边界失稳形成。
Abstract
bao mo jie gou zai gong ye sheng chan he jian duan ji shu zhong you zhao an fan de ying yong ,er qiao qu xian xiang zai shou ya bao mo zhong fei chang chang jian ,yin ci shen ru yan jiu bao mo jie gou de qiao qu fa sheng he yan hua zai gong ye sheng chan he jian duan ke xue yan jiu zhong dou you zhao fei chang chong yao de yi yi 。yi fang mian ,wo men xu yao yi zhi gong neng xing bao mo cai liao fa sheng qiao qu yi wei hu ji you xiao zhou ji ;ling yi fang mian ,ke diao kong de bao mo jie gou qiao qu xing mao zai biao mian xing mao diao kong 、wei liu qi jian she ji 、rou xing dian zi qi jian zhi zao yi ji bao mo jie gou li xue can shu ce liang zhong you zhao an fan de ying yong 。ben wen zhu yao tong guo Foppl-von Karmanfang cheng cong li lun shang yan jiu bao mo jie gou qiao qu de hou qu qu shi wen mo shi he hou qu qu xing mao yi ji qiao qu jie gou shou dao bao mo lie wen de ying xiang ,ling wai fu yi shu zhi mo ni shou duan yan zheng li lun fen xi jie guo 。shou xian yan jiu le ding bu lie wen dui yu zhi tiao zhuang gu bao he dian hua xian gu bao qiao qu xing mao de ying xiang 。wo men tong guo zong jie wen suo zhong guan yu ding bu lie wen de gong zuo lai xiu zheng yi you li lun mo xing cun zai de wen ti ,cong er tong guo yin ru ding bu lie wen dao zhi de zhong mian wei yi gai jin le dai ding bu lie wen de zhi tiao zhuang gu bao de li lun jie guo 。er hou tong guo huan zhuang gu bao jin shi fang fa jiang dai ding bu lie wen de zhi tiao zhuang gu bao de jie guo tui an dao le dian hua xian gu bao zhong ,cong er yan jiu le fu za zhou ji ding bu lie wen ying xiang xia de dian hua xian gu bao xing mao 。ran hou gei chu le ding bu lie wen he hua yi bian jie dui yu zhi tiao zhuang gu bao wen ding xing de ying xiang 。ding bu lie wen he di bo song bi hui shi de zhi tiao zhuang gu bao you li yu chu xian dui chen de shi wen bing xing cheng gu pao ,er hua yi bian jie tiao jian he gao bo song bi ze geng you li yu zhi tiao zhuang gu bao chu xian fan dui chen shi wen bing xing cheng dian hua xian gu bao 。wo men hai jian li le dai ding bu lie wen de fei xian xing mo ni mo xing ,suo de jie guo hen hao de yan zheng le xian xing wen ding xing fen xi de jie guo 。sui hou tong guo zuo biao bian huan fang fa he Koiterzhan kai fang fa jian li le zhi tiao zhuang gu bao shi wen hou qu qu he dian hua xian gu bao qiao qu de gai jin mo xing ,ji jie guo biao ming zhou ji wan qu bian jie bu li yu ping ban qiao qu de fa sheng 。ci wai ,wo men hai jin yi bu tong guo jin shi fang fa qiu jie zhe ge mo xing de dao le zhi tiao zhuang gu bao shi wen hou qu qu he jian chan zhou ji wan qu bian jie qing xing de yi jie li lun jin shi jie ,ji zhong yin ru le ying li de ying xiang bing ju ke yi gei chu zhi tiao zhuang gu bao shi wen hou qu qu de zong dan xing neng bian hua ,dan shi zhe ge jie guo cun zai mo fa miao shu ji bu gao du de bian hua ,zhe ke neng shi que shao gao jie xiang ying xiang dao zhi de 。zui hou tong guo shu zhi shou duan yan zheng le gai jin dian hua xian gu bao mo xing de you xiao xing 。ji zhong de yi jie shu zhi jie yu yi jie li lun jin shi jie fu ge de hen hao ,dan shi reng ran mo fa miao shu ji bu gao du de bian hua 。er gai jin zhi hou de er jie shu zhi jie zhun que miao shu ji bu gao du de bian hua bing ju he you xian yuan mo ni jie guo fu ge de hen hao ,chong fen shui ming le gai jin dian hua xian gu bao mo xing de you xiao xing 。ci wai ,wan qu bian jie gu bao de dan xing neng zai ying li shao da yu Eulerying li er ju xian zhe xiao yu zhi tiao zhuang gu bao shi wen ying li shi bian hui xiao yu zhi bian qing xing 。zhe ge jie guo zhi chu dian hua xian gu bao ke neng bu jing guo zhi tiao zhuang gu bao shi wen er shi zhi jie you bian jie shi wen xing cheng 。
论文参考文献
论文详细介绍
论文作者分别是来自中国科学技术大学的李世琛，发表于刊物中国科学技术大学2019-07-12论文，是一篇关于翘曲论文,方程论文,顶部裂纹论文,二次失稳论文,坐标变换论文,中国科学技术大学2019-07-12论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自中国科学技术大学2019-07-12论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。
标签：翘曲论文; 方程论文; 顶部裂纹论文; 二次失稳论文; 坐标变换论文; 中国科学技术大学2019-07-12论文;