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基于跨尺度模擬的機(jī)械微結(jié)構(gòu)斷裂行為研究

發(fā)布時(shí)間:2018-08-04 11:29
【摘要】:隨著納米科技的飛速發(fā)展,對(duì)微納米零件的需求越來(lái)越多,同時(shí)對(duì)其使用性能也提出了很高的要求。受表面效應(yīng)、量子效應(yīng)、小尺度效應(yīng)的影響,機(jī)械微結(jié)構(gòu)達(dá)到微米甚至納米量級(jí)時(shí),微構(gòu)件斷裂等力學(xué)性能與常規(guī)構(gòu)件表現(xiàn)出很大的差異。因此,加快建立微納米零件的加工和設(shè)計(jì)理論已成為當(dāng)前制造業(yè)領(lǐng)域一項(xiàng)很重要的任務(wù)。本文借助準(zhǔn)連續(xù)介質(zhì)方法,研究微構(gòu)件在不同加載下的斷裂特性,這對(duì)微構(gòu)件的力學(xué)性能等具有重要的理論價(jià)值和現(xiàn)實(shí)意義。論文研究工作如下: 首先,搭建了準(zhǔn)連續(xù)介質(zhì)仿真平臺(tái),建立拉伸過(guò)程的多尺度仿真模型,并通過(guò)計(jì)算分析了模型的有效性。 其次,模擬并分析了單晶銅懸臂梁彎曲過(guò)程的尺寸效應(yīng)及梁彎曲失效原因。研究了梁厚度、跨厚比及晶向設(shè)置對(duì)兩端固支梁彈性模量等的影響,利用位錯(cuò)及滑移理論分析了三種不同晶向設(shè)置兩端固支梁模型的微觀變形機(jī)理。結(jié)果發(fā)現(xiàn),連續(xù)介質(zhì)理論及其衍生理論對(duì)微/納構(gòu)件已不再適用。懸臂梁的厚度對(duì)力學(xué)性能影響很大。兩端固支梁的彈性變形階段的彈性模量隨應(yīng)變的增加而增大,梁的尺寸越小彈性模量增加越快。相同跨厚比下,梁的初始彈性模量是定值,受尺寸效應(yīng)、表面效應(yīng)影響不明顯。梁的初始彈性模量、最大撓度、彎曲強(qiáng)度等特性隨梁厚的增大而減小。 最后,建立了單晶銅納米桿的壓縮過(guò)程多尺度仿真模型,研究了結(jié)構(gòu)尺寸參數(shù)對(duì)納米桿壓縮力學(xué)性能的影響,通過(guò)分析納米桿在壓縮變形時(shí)的形變、內(nèi)部應(yīng)力和應(yīng)變能的演化規(guī)律,獲得了納米桿壓縮變形及潰裂機(jī)制。分析了納米桿在不同壓縮條件下的彈性模量、彈性極限、屈服極限及泊松比等力學(xué)特性。結(jié)果表明:與宏觀值相比,單晶銅納米桿壓縮時(shí)的彈性模量、彈性極限和屈服極限表現(xiàn)出明顯的尺寸效應(yīng),而其泊松比的尺寸效應(yīng)并不明顯;納米構(gòu)件一維方向尺寸的變化對(duì)其力學(xué)性能影響不大。
[Abstract]:With the rapid development of nanotechnology, there are more and more demands on micro and nano parts. Under the influence of surface effect, quantum effect and small scale effect, when the mechanical microstructure reaches the order of micron or nanometer, the mechanical properties such as fracture of microstructures are very different from those of conventional members. Therefore, it has become an important task in the field of manufacturing industry to accelerate the establishment of the theory of machining and design of micro-and nano-parts. In this paper, the fracture characteristics of microstructures under different loading conditions are studied by means of quasi-continuum medium method, which is of great theoretical and practical significance to the mechanical properties of microstructures. The research work is as follows: firstly, the quasi-continuum medium simulation platform is built, and the multi-scale simulation model of stretching process is established, and the validity of the model is analyzed by calculation. Secondly, the size effect of single crystal copper cantilever beam during bending and the failure reason of beam bending are simulated and analyzed. The effects of beam thickness, span thickness ratio and crystal orientation on the elastic modulus of two end clamped beams are studied. The microscopic deformation mechanism of three kinds of fixed beam models with different crystal directions is analyzed by using dislocation and slip theory. The results show that the continuum theory and its derivation theory are no longer applicable to micro / nano components. The thickness of cantilever beam has great influence on mechanical properties. The elastic modulus increases with the increase of the strain, and the smaller the size of the beam, the faster the elastic modulus increases. At the same span thickness ratio, the initial elastic modulus of the beam is constant, but the influence of the surface effect is not obvious due to the size effect. The initial elastic modulus, maximum deflection and bending strength of the beam decrease with the increase of the beam thickness. Finally, a multi-scale simulation model of the compression process of single crystal copper nanorods is established, and the effect of structural dimension parameters on the compressive mechanical properties of nanorods is studied. The deformation of nanorods during compression deformation is analyzed. The mechanism of compressive deformation and cracking of nanorods was obtained by the evolution of internal stress and strain energy. The elastic modulus, elastic limit, yield limit and Poisson's ratio of nanorods under different compression conditions were analyzed. The results show that compared with macroscopic values, the elastic modulus, elastic limit and yield limit of single crystal copper nanorods show obvious size effect, but the size effect of Poisson's ratio is not obvious. The change of one-dimensional dimension has little effect on the mechanical properties of nanostructures.
【學(xué)位授予單位】:哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2012
【分類號(hào)】:TH114

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