AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |
Back to Blog
Glyph chess review4/30/2023 ![]() Negative linear compressibility, and we show that the existence of theseįeatures is more widespread (i.e. Show previously unreported directions of negative Poisson's ratio and Previously unreported properties of rock-forming minerals. We demonstrate that by visualising the variations in elasticity, we discover ![]() Following previous work in the fields of chemistry and materials science, Visualise directional variations in elastic properties of rock-forming Package (AnisoVis, written in MATLAB), which we use to calculate and We also explore how these variations (the directionalityĪnd the magnitude) are important for fundamental processes in the solidĮarth, including deformation (mechanical) twinning, coherent phase Previously published data, and show that the range is much wider thanĬommonly assumed. In this paper, we explore the ranges ofĪnisotropy of E, ν, G and β in 86 rock-forming minerals, using Shear modulus (G) and linear compressibility (β), are dependent onĬrystallographic direction. This means that theĬommonly used mechanical elastic properties that relate elastic stress toĮlastic strain, including Young's modulus (E), Poisson's ratio (ν), Their elastic properties – that is, they have directional variations thatĪre related to the configuration of the crystal lattice. All minerals are intrinsically anisotropic in Propagation and influences subsequent plastic (i.e. Tensors are used to describe complex physical processes in many applications.Īll minerals behave elastically elasticity is a rheological property that controls theirĪbility to support stress, strain, and pressure controls the nature of acoustic wave (ii) It emphasizes and explains the necessity for further research for visualizations in this context. Its utility is twofold: (i) It serves as basis for the visualization community to get an overview of recent visualization techniques. As such, the survey is complementing and extending previously published surveys. This survey aims to provide an overview of recent research results with a strong application‐oriented focus, targeting applications based on continuum mechanics, namely the fields of structural, bio‐, and geomechanics. Given the limitations of traditional methods, and the extra cognitive effort of simple methods, more advanced tensor field visualization approaches have been the focus of this work. However, data complexity is nowadays accompanied by the sheer amount of data produced by large‐scale simulations and adds another level of obstruction between user and data. Typical strategies include the use of glyphs, color plots, lines, and isosurfaces. Visualization can be beneficial here and is frequently used by domain experts. While tensors encode such complex information mathematically precisely, the semantic interpretation of a tensor is challenging. Examples include the distribution of stresses in technical materials, acting forces during seismic events, or remodeling of biological tissues. Tensors are used to describe complex physical processes in many applications. This chapter summarizes some common glyphs, mostly with origin in mechanical engineering, and link their interpretation to specific tensor invariants. For the effectiveness of such visualizations the right choice of glyphs is essential. In this chapter we focus on glyph-based representations, which still belong to the most frequently used tensor visualization methods. ![]() Due to their importance, we propose to build any tensor visualization upon a set of carefully chosen tensor invariants. In this context, domain specific tensor invariants that describe the entities of interest play a crucial role. ![]() As different as these applications, is the physical meaning and relevance of particular mathematical properties. Due to this generality they occur in various application areas, either as result or intermediate product of simulations. They appear everywhere where the dependence of multiple vector fields is approximated as linear. A mathematical language for the description of many physical phenomena.
0 Comments
Read More
Leave a Reply. |