力电耦合偏场理论:回顾、比较与展望

发布时间：2018-05-31 21:14

本文选题：力电耦合 + 非线性连续介质力学　；参考：《力学进展》2016年00期

【摘要】：力电耦合固体的非线性连续介质理论最早出现于20世纪50年代,而成熟于70年代.80年代末、90年代初则因智能材料与结构的兴起而又得到了新的发展,引起了较为广泛的关注,但应用上以线性分析为主.21世纪初以来,力电耦合软材料因其潜在的应用前景激发了众多的研究兴趣.由于牵涉到大变形,必须在一般非线性连续介质力学的框架内进行问题的建模和开展定量分析,因此力电耦合固体的非线性理论重新得到了大家的重视,出现了很多新版本.本文旨在阐述力电耦合固体非线性连续介质理论一般框架的基础上,采用3个构型的表述方式,较为详细地给出拉格朗日描述和更新拉格朗日描述下的力电耦合偏场理论,甄别不同理论表述版本之间的异同,以廓清目前文献中的混乱现象,为今后的相关研究提供理论指导.最后,本文讨论和展望了力电耦合偏场理论在不同研究领域的若干研究重点及其未来发展趋势.
[Abstract]:The nonlinear continuum theory of electromechanical coupling solids first appeared in the 1950s, but matured in the late 1970s and 1980s and early 1990s because of the rise of smart materials and structures and has been a new development, has attracted more and more extensive attention. Since the beginning of the 21st century, the application of electromechanical coupling soft materials has aroused a lot of research interest because of its potential application prospects. Due to the large deformation, the modeling and quantitative analysis of the problem must be carried out within the framework of general nonlinear continuum mechanics. Therefore, the nonlinear theory of electrically coupled solids has been paid more attention to, and many new versions have appeared. In this paper, on the basis of the general frame of the theory of electrically coupled solids nonlinear continuum, the Lagrangian description and the updated Lagrangian theory of the coupling bias field are given in detail by using three configurations. The differences and similarities between different theoretical versions are analyzed in order to clear up the confusion in the present literature and to provide theoretical guidance for the related studies in the future. Finally, this paper discusses and prospects some research emphases and future development trends of electromechanical coupling bias field theory in different research fields.
【作者单位】：浙江大学航空航天学院工程力学系;浙江大学软物质科学研究中心;锡根大学土木工程系;
【基金】：国家自然科学基金(11321202,11272281,11532001) 高等学校博士学科点专项科研基金(20130101110120)资助项目
【分类号】：O33

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