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Microstructural modelling of functionally graded materials using stochastic Voronoi diagram and B-Spline representations

机译:使用随机Voronoi图和B样条表示法对功能梯度材料的微观结构建模

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Functionally graded materials (FGMs) have been extensively studied in the past few decades. An overwhelming majority of existing investigations are based on the compositional heterogeneity model where the material distributions/volume fractions characterised at macroscopic scale are primary concerns. In contrast to the extant FGM modelling approaches, this article presents a new approach to modelling the microstructures of FGMs. A novel digital model based on the stochastic Voronoi diagram and B-Spline representation is proposed. We demonstrated that, using the proposed microstructural FGM model, FGMs with generic and customisable microstructures can be easily designed, meanwhile the irregular topology or complex network that are commonplace in nature can be properly represented. The proposed modelling approach facilitates the design of FGM with natural and realistic microstructures, and, more importantly, it does not require expensive imaging equipment in the design process, and digital models can be constructed at interactive or quasi-interactive rate. With two case studies, we show that efficient downstream design validations or response simulations can be conveniently conducted.View full textDownload full textKeywordsfunctionally graded material, porous structure, Voronoi diagram, B-Spline, irregular pores, probability density function, graded pores, microstructural modelRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/0951192X.2011.627948
机译:在过去的几十年中,对功能梯度材料(FGM)进行了广泛的研究。现有研究的绝大多数是基于成分异质性模型,其中以宏观尺度表征的材料分布/体积分数是主要问题。与现有的FGM建模方法相反,本文提出了一种对FGM的微观结构建模的新方法。提出了一种基于随机Voronoi图和B样条表示的新型数字模型。我们证明,使用所提出的微结构FGM模型,可以轻松设计具有通用和可定制微结构的FGM,同时可以适当地表示自然界中常见的不规则拓扑或复杂网络。所提出的建模方法促进了具有自然和逼真的微观结构的FGM的设计,更重要的是,它在设计过程中不需要昂贵的成像设备,并且可以以交互或准交互速率构建数字模型。通过两个案例研究,我们证明可以方便地进行有效的下游设计验证或响应模拟。查看全文下载全文功能分级材料,多孔结构,Voronoi图,B样条,不规则孔,概率密度函数,分级孔,微观结构模型var addthis_config = {ui_cobrand:“泰勒和弗朗西斯在线”,servicescompact:“ citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,更多”,发布号:“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/0951192X.2011.627948

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