本文選題：力電耦合 + 非線性連續(xù)介質(zhì)力學(xué)��； 參考：《力學(xué)進展》2016年00期

【摘要】：力電耦合固體的非線性連續(xù)介質(zhì)理論最早出現(xiàn)于20世紀50年代,而成熟于70年代.80年代末、90年代初則因智能材料與結(jié)構(gòu)的興起而又得到了新的發(fā)展,引起了較為廣泛的關(guān)注,但應(yīng)用上以線性分析為主.21世紀初以來,力電耦合軟材料因其潛在的應(yīng)用前景激發(fā)了眾多的研究興趣.由于牽涉到大變形,必須在一般非線性連續(xù)介質(zhì)力學(xué)的框架內(nèi)進行問題的建模和開展定量分析,因此力電耦合固體的非線性理論重新得到了大家的重視,出現(xiàn)了很多新版本.本文旨在闡述力電耦合固體非線性連續(xù)介質(zhì)理論一般框架的基礎(chǔ)上,采用3個構(gòu)型的表述方式,較為詳細地給出拉格朗日描述和更新拉格朗日描述下的力電耦合偏場理論,甄別不同理論表述版本之間的異同,以廓清目前文獻中的混亂現(xiàn)象,為今后的相關(guān)研究提供理論指導(dǎo).最后,本文討論和展望了力電耦合偏場理論在不同研究領(lǐng)域的若干研究重點及其未來發(fā)展趨勢.
[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.
【作者單位】： 浙江大學(xué)航空航天學(xué)院工程力學(xué)系;浙江大學(xué)軟物質(zhì)科學(xué)研究中心;錫根大學(xué)土木工程系;
【基金】：國家自然科學(xué)基金(11321202,11272281,11532001) 高等學(xué)校博士學(xué)科點專項科研基金(20130101110120)資助項目
【分類號】：O33

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本文編號：1961302