本文關(guān)鍵詞：層狀復(fù)合磁電材料的彈性動(dòng)力學(xué)研究　出處：《南京師范大學(xué)》2015年博士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 雙層復(fù)合磁電材料 圣維南原理 局部作用 彎曲應(yīng)變

【摘要】：磁電效應(yīng)是指電致變磁有序或磁致變極化序。磁電效應(yīng)可以實(shí)現(xiàn)磁、電能量之間的相互轉(zhuǎn)換和調(diào)控,在信息存儲(chǔ)、磁電傳感及高能電子傳輸?shù)绕骷⌒突矫婢哂袕V泛的應(yīng)用前景。由于天然的磁電材料稀少且缺乏實(shí)用性,因此各類復(fù)合磁電材料成為目前主要的研究對(duì)象。迄今,磁電轉(zhuǎn)換效率的實(shí)際測量值總是小于理論預(yù)期。為解決此一偏差,本論文選用2-2型TDF-PZT層狀復(fù)合磁電材料,從材料的非均勻應(yīng)力和應(yīng)變?nèi)胧?依據(jù)彈性力學(xué)理論,研究了復(fù)合塊體材料中鐵磁體磁致伸縮導(dǎo)致的界面應(yīng)力,以及該界面應(yīng)力通過彈性耦合所誘導(dǎo)的鐵電體內(nèi)的應(yīng)力分布,并在此應(yīng)力的基礎(chǔ)上取得了與實(shí)驗(yàn)結(jié)果較為一致的磁電效應(yīng)理論模型。具體研究內(nèi)容如下：1、選用主流的層狀復(fù)合磁電材料,以Harshe、Bichurin、南策文、Dong等學(xué)者的理論模型為主要依據(jù),分析了“乘積效應(yīng)”下各類雙層復(fù)合材料在不同磁場模式下的磁電效應(yīng)規(guī)律,回顧了這一結(jié)構(gòu)的磁電效應(yīng)的理論值總大于實(shí)驗(yàn)結(jié)果的現(xiàn)象,分析了為彌合這一差距而引進(jìn)的界面耦合系數(shù)方法的利弊,并引出本文研究的重點(diǎn)——圣維南原理和彎曲引起的壓電相中應(yīng)力及應(yīng)變的非均勻分布。2、測量了雙層復(fù)合材料自由端的應(yīng)變,發(fā)現(xiàn)壓電材料自由端的應(yīng)變幅度隨壓電材料本身厚度的增大而減小,根據(jù)圣維南原理的局部作用效應(yīng),從彈性力學(xué)的平面問題出發(fā),針對(duì)磁電耦合中磁致伸縮相誘導(dǎo)的界面應(yīng)力,尋找出一組合理的邊界條件,推導(dǎo)出壓電相的內(nèi)應(yīng)力分布,并根據(jù)此應(yīng)力分布修正了原有的磁電效應(yīng)理論模型。較之已有模型,新模型給出的理論數(shù)值與實(shí)驗(yàn)結(jié)果符合得更好,從而證實(shí)了考慮圣維南原理的必要性。在局部作用原理的影響下,壓電材料內(nèi)部的應(yīng)力分布隨厚度的增加逐漸減小,導(dǎo)致整體壓電效應(yīng)的減弱。3、根據(jù)壓電材料的蝴蝶狀應(yīng)變,證實(shí)了雙層復(fù)合材料中的鐵電相在外加磁場下其內(nèi)應(yīng)力呈非均勻分布的假設(shè)。根據(jù)彈性力學(xué)中構(gòu)件彎曲的理論模型,針對(duì)彎曲這一典型的非均勻應(yīng)變現(xiàn)象,推導(dǎo)出磁場下復(fù)合材料彎曲時(shí)的彎曲角度與磁場及材料形狀、楊氏模量之間的關(guān)系,理論模擬與實(shí)驗(yàn)匹配良好。同時(shí)依據(jù)電致伸縮方程理論,成功模擬出復(fù)合材料應(yīng)變時(shí)的蝶狀圖形。
[Abstract]:Magnetoelectric effect refers to electromagnetically variable magnetic order or magnetically induced polarization order. Magnetoelectric effect can realize the mutual conversion and regulation of magnetic and electric energy in the storage of information. The miniaturization of magnetoelectric sensing and high-energy electron transmission has a wide range of applications due to the scarcity of natural magnetoelectric materials and the lack of practicability. So all kinds of composite magnetoelectric materials have become the main research object. Up to now, the actual measurement value of magnetoelectric conversion efficiency is always smaller than the theoretical expectation. In this paper, 2-2 TDF-PZT layered composite magnetoelectric material is selected, starting with the inhomogeneous stress and strain of the material, and based on the theory of elasticity. The interfacial stress induced by magnetostriction of ferromagnet in composite bulk materials and the stress distribution in ferroelectrics induced by elastic coupling are studied. On the basis of this stress, a theoretical model of magnetoelectric effect is obtained, which is consistent with the experimental results. The specific research contents are as follows: 1. The mainstream layered composite magnetoelectric material is selected to use Harshe. On the basis of the theoretical model of Bichurin, Nan Zi-wen Dong and other scholars, the magnetoelectric effects of all kinds of double-layer composite materials under the "product effect" under different magnetic field modes are analyzed. The phenomenon that the theoretical value of magnetoelectric effect of this structure is always larger than the experimental results is reviewed, and the advantages and disadvantages of the interfacial coupling coefficient method introduced to bridge the gap are analyzed. The stress and strain distribution in the piezoelectric phase caused by bending is also discussed. The strain at the free end of the double layer composite material is measured by using the Saint-Venant principle and the non-uniform distribution of the strain in the piezoelectric phase caused by bending. It is found that the strain amplitude at the free end of the piezoelectric material decreases with the increase of the thickness of the piezoelectric material itself. According to the local action effect of the Saint-Venant principle, the plane problem of elasticity is considered. Aiming at the interface stress induced by magnetostrictive phase in magnetoelectric coupling, a set of reasonable boundary conditions are found and the internal stress distribution of piezoelectric phase is deduced. According to the stress distribution, the original model of magnetoelectric effect is modified. Compared with the existing model, the theoretical value of the new model is in better agreement with the experimental results. Under the influence of the local action principle, the stress distribution in piezoelectric materials decreases with the increase of thickness, which leads to the weakening of the whole piezoelectric effect. According to the butterfly strain of piezoelectric material, the assumption that the internal stress of ferroelectric phase in the double-layer composite material is non-uniform distribution under the applied magnetic field is confirmed. According to the theoretical model of the bending of the member in elastic mechanics. Aiming at the typical inhomogeneous strain phenomenon, the relationship between bending angle, magnetic field, material shape, Young's modulus and bending angle of composite material under magnetic field is deduced. According to the theory of electrostrictive equation, the sphenoid pattern of composite strain was successfully simulated.
【學(xué)位授予單位】：南京師范大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類號(hào)】：TB33

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