力电耦合偏场理论:回顾、比较与展望

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doi:10.6052/1000-0992-15-020

伍斌¹,
张春利^1,2,
张传增³,
陈伟球^1,2,,

1 浙江大学航空航天学院工程力学系, 杭州 310027
2 浙江大学软物质科学研究中心, 杭州 310027
3 锡根大学土木工程系, 德国锡根 D57068

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作者简介:
陈伟球,浙江大学航空航天学院教授。1990、1996年分别于浙江大学获学士和博士学位,毕业后留校工作至今,现为浙江大学工程力学系主任。期间,1997—1999年在日本东京大学做博士后;2003年在韩国延世大学做访问教授;2010以来多次在德国锡根大学进行短期访问,与张传增教授开展科研合作。陈伟球教授的主要研究方向包括智能材料和结构力学、多场耦合力学、软物质力学、结构的振动与波动等。参与撰写中文专著1部、英文专著3部,在国内外专业期刊上发表论文300余篇,SCI他引超过3200次。2007年获国家杰出青年基金资助,2013年作为项目负责人获国家基金委创新研究群体项目资助。目前担任开云棋牌官方常务理事,《力学学报》、《固体力学学报》、《科学通报》、《Applied Mathematics and Mechanics – English Edition》、《振动工程学报》、《应用数学和力学》、《力学季刊》、《Theoretical and Applied Mechanics Letters》、《Journal of Zhejiang University SCIENCE A》、《Journal of Thermal Stresses》等国内外期刊的编委。

通讯作者:
陈伟球

中图分类号:O343.5;O33
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出版历程
- 收稿日期:2015-05-07
- 修回日期:2015-08-31
- 刊出日期:2016-05-20

Theory of electroelasticity accounting for biasing fields: Retrospect, comparison and perspective

1 Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China
2 Soft Matter Research Center, Zhejiang University, Hangzhou 310027, China
3 Department of Civil Engineering, University of Siegen, Siegen D57068, Germany

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Corresponding author:CHEN Weiqiu

摘要

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.
- 力电耦合/
- 非线性连续介质力学/
- 偏场理论/
- 表述/
- 比较
Abstract:The nonlinear continuum theory of solids with electromechanical coupling was first developed in the 1950s, and matured in the 1970s. In the late 1980s and early 1990s, it gained new impetus for further elaboration and drawn wider attention due to the rapid development of intelligent materials and structures. However, research priority was given to linear analysis in applications. Since the early twentieth century, electromechanical soft ma-terials have inspired many research interests because of their potential application prospect. On account of the large deformation that is inevitably involved, the mathematical model-ing of problems and the subsequent quantitative analysis must be carried out within the general framework of nonlinear continuum mechanics. Consequently, the nonlinear theory of solids with electromechanical coupling has received great attention and many new and seemingly different versions of the theory have appeared. Based on the general framework of the nonlinear continuum theory, the aim of this paper is to review in detail the theory of electroelasticity that accounts for biasing fields by adopting both Lagrangian description and the updated Lagrangian description based on three configurations. We attempt to iden-tify the similarities and differences between different versions of the theory in order to clear the confusions in the current literature and provide a theoretical guidance for the related research in the future. The current and future research focus and development trend of the electromechanical biasing field theory in different areas are also brie°y summarized and discussed.
- electromechanical coupling/
- nonlinear continuum mechanics/
- biasing field the-ory/
- formulations/
- comparison

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