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A visualization tool for material property anisotropy: representational surfaces of 3rd-rank tensors

机译:用于材料属性的可视化工具各向异性:3 Rd -rank张量的代表表面

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The representational surface has become an effective means for expressing the anisotropy in piezoelectric single crystals and textured polycrystalline materials. Although the mathematics involved with such a representation can be taught at the graduate level, the knowledge and familiarity necessary to represent these surfaces graphically makes such representations inaccessible to some undergraduate and graduate students. This paper presents a simple, user-friendly tool for generating such representations for 3rd-rank tensors and demonstrates their application to a specific piezoelectric composition. The tool is accessed as a graphical user interface within a commercial mathematical software package.
机译:代表性表面已成为表达压电单晶和纹理的多晶材料中各向异性的有效手段。尽管可以在研究生级别涉及这种代表的数学,但是以图形方式表示这些表面所需的知识和熟悉性使得一些本科生和研究生无法访问这些代表性。本文介绍了一个简单,用户友好的工具,用于为3 RD -RANK TENTORS产生这样的表示,并将其应用于特定压电组合物。该工具被访问为商业数学软件包中的图形用户界面。

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