本文關(guān)鍵詞：集成納米HAP晶體影響的牙釉質(zhì)多級微結(jié)構(gòu)跨尺度建模和有效模量預(yù)測方法　出處：《西南交通大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 牙釉質(zhì) 多級微結(jié)構(gòu) 跨尺度建模 靜態(tài)縮聚 有效模量

【摘要】：作為典型的多級生物復(fù)合材料,牙釉質(zhì)位于牙齒最外層,是動物體中鈣化程度最高的堅硬礦物組織。它通常兼具高強度、強韌性、耐疲勞等優(yōu)異特性,主要原因在于其經(jīng)自然選擇而形成的多級優(yōu)化微結(jié)構(gòu)及特定比例的材料組成。深入探索牙釉質(zhì)固有力學(xué)等性能與多級微/納結(jié)構(gòu)組成、材料特性等的定量關(guān)系,不僅有助于揭示多級生物組織宏觀優(yōu)異特性的產(chǎn)生機理,更可指導(dǎo)新型高性能仿生材料合成和已有非均質(zhì)材料及結(jié)構(gòu)性能優(yōu)化。本論文主要研究內(nèi)容及結(jié)果概述如下:第一章,以天然生物材料為例,闡述了常見多級結(jié)構(gòu)及其性能特點。結(jié)合已有文獻,綜述了牙釉質(zhì)多級微結(jié)構(gòu)建模方法、彈性模量預(yù)測等研究的國內(nèi)外現(xiàn)狀,并進一步給出了本論文的研究內(nèi)容及選題意義。第二章,為了準確描述微米釉柱和納米HAP晶體的非規(guī)則輪廓,采用水平集函數(shù)法建立了二者的顯式表達式,并基于已有試驗數(shù)據(jù)進一步擬合獲得了釉柱不同位置晶體角度模型�；谡n題組建立的自動建模方法,實現(xiàn)了規(guī)則及非規(guī)則納米和微米尺度代表性單元模型自動重構(gòu)。第三章,簡要介紹了細觀力學(xué)均勻化方法和常見的牙釉質(zhì)等效本構(gòu)關(guān)系。通過開發(fā)的模擬方法計算了牙釉質(zhì)代表性單元模型的有效模量矩陣,發(fā)現(xiàn):隨著間質(zhì)層厚度減小,預(yù)測結(jié)果逐漸接近已有模擬數(shù)據(jù),說明建立的模型和模擬方法是有效的。在此基礎(chǔ)上,進一步討論了納米尺度晶體形狀及材料組成對牙釉質(zhì)宏觀模量的影響。第四章,結(jié)合牙釉質(zhì)微米尺度代表性單元和第二章的HAP晶體傾斜函數(shù),采用靜態(tài)凝聚技術(shù)開發(fā)了牙釉質(zhì)宏觀模量跨尺度預(yù)測方法,可直觀反映微觀釉柱形狀和納米HAP晶體組織方式等因素的影響。同時,進一步分析了晶體大小、形狀及體積分數(shù)對牙釉質(zhì)有效模量的影響。本文主要結(jié)論包括:(1)通過多項式函數(shù)分段逼近釉柱輪廓,建立了牙釉質(zhì)復(fù)雜微結(jié)構(gòu)重構(gòu)方法;采用水平集法和單元自動分割策略,實現(xiàn)了牙釉質(zhì)微-納尺度模型的自動建模,極大地簡化了復(fù)雜多級生物非均質(zhì)材料建模過程。(2)鑒于牙釉質(zhì)宏觀模量與其獨特的微/納結(jié)構(gòu)組織方式及材料組成等密切相關(guān),本文采用靜態(tài)凝聚技術(shù)進一步開發(fā)了牙釉質(zhì)宏觀模量跨尺度計算方法,定量反映了微觀釉柱形狀和納米HAP晶體組織方式等影響。(3)牙釉質(zhì)微觀釉間質(zhì)特性對宏觀模量影響顯著。隨著釉間質(zhì)剛度增加,牙釉質(zhì)宏觀模量顯著增大,且D11、D22和D33較其他模量增加更快。(4)牙釉質(zhì)納米HAP晶體的體積分數(shù)和蛋白質(zhì)層模量對宏觀模量影響較大,晶體形狀和尺寸對其影響較小。
[Abstract]:As a typical multistage biological composite, enamel is the hardest mineral tissue with the highest degree of calcification in the outer layer of teeth. It usually has high strength, toughness, fatigue resistance and other excellent properties. The main reason lies in the multi-level optimization microstructure and the specific proportion of materials formed by natural selection. The quantitative relationship between the intrinsic mechanical properties of enamel and the composition of multi-stage micro / nano structure and the material characteristics is deeply explored. It is not only helpful to reveal the mechanism of macroscopical excellent properties of multistage biological tissue. It can also guide the synthesis of new high-performance biomimetic materials and the optimization of existing heterogeneous materials and structural properties. The main contents and results of this paper are summarized as follows: chapter 1, natural biomaterials as an example. The common multilevel structure and its performance characteristics are described. Combined with the existing literature, the research status of the modeling method of multilevel microstructure of enamel and the prediction of elastic modulus at home and abroad are summarized. In chapter 2, in order to describe the irregular profile of micron glaze column and nanocrystalline HAP crystal, the explicit expressions of the two crystals are established by using the level set function method in order to accurately describe the irregular contour of the nanocrystalline glaze column and nanocrystalline HAP crystal. Based on the existing experimental data, the crystal angle model of different positions of the glaze column is obtained, and the automatic modeling method based on the research group is established. It realizes the automatic reconstruction of regular and irregular nanoscale and micron scale representative cell models. Chapter 3. The mesomechanical homogenization method and the common equivalent constitutive relation of enamel were briefly introduced. The effective modulus matrix of the enamel representative unit model was calculated by the developed simulation method. It is found that with the thickness of mesenchymal layer decreasing, the prediction results are close to the existing simulation data, which shows that the established model and simulation method are effective. The effects of nanoscale crystal shape and material composition on the macroscopic modulus of enamel were further discussed. Chapter 4th combined with the micron-scale representative unit of enamel and the tilt function of HAP crystal in Chapter 2. The cross-scale prediction method of macroscopic modulus of enamel was developed by static coagulation technique, which can directly reflect the influence of the shape of micro-glaze column and the structure of nano-sized HAP crystal. At the same time, the crystal size was further analyzed. The effect of shape and volume fraction on the effective modulus of enamel. The level set method and the unit automatic segmentation strategy are used to realize the automatic modeling of enamel micro-nano scale model. The modeling process of complex multistage biological heterogeneous materials is greatly simplified. (2) since the macroscopic modulus of enamel is closely related to its unique micro / nano structure and material composition. In this paper, a cross-scale calculation method of macroscopic modulus of enamel was developed by static coagulation technique. Quantitative analysis shows that the microstructure of enamel post and the microstructure of nanometer HAP crystal have significant influence on the macroscopic modulus of enamel, and with the increase of the stiffness of enamel, the microstructure of enamel has a significant effect on the macroscopic modulus of enamel. The macroscopic modulus of enamel increased significantly, and D11D22 and D33 increased more rapidly than other moduli.) the volume fraction of enamel nanocrystalline HAP crystal and the modulus of protein layer greatly affected the macroscopic modulus. The shape and size of the crystal have little effect on it.
【學(xué)位授予單位】：西南交通大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TB33

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