A Globally Conforming Lattice Structure for 2D Stress Tensor Visualization

Wang, Junpeng; Wu, Jun; Westermann, Rüdiger

doi:10.1111/cgf.13991

Cited by 7 publications

(4 citation statements)

References 17 publications

(13 reference statements)

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“…Globally conforming lattice -Wang et al [WWW20] introduced a globally conforming lattice for two-and three-dimensional stress tensor fields. They used beam elements that follow the principal stresses, as depicted in Figure 11.…”

Section: Hyperstreamlinesmentioning

confidence: 99%

Visualization of Tensor Fields in Mechanics

Hergl

Blecha

Kretzschmar

et al. 2021

Computer Graphics Forum

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Tensors are used to describe complex physical processes in many applications. Examples include the distribution of stresses in technical materials, acting forces during seismic events, or remodeling of biological tissues. While tensors encode such complex information mathematically precisely, the semantic interpretation of a tensor is challenging. Visualization can be beneficial here and is frequently used by domain experts. Typical strategies include the use of glyphs, color plots, lines, and isosurfaces. 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. 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. 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. As such, the survey is complementing and extending previously published surveys. Its utility is twofold: (i) It serves as basis for the visualization community to get an overview of recent visualization techniques. (ii) It emphasizes and explains the necessity for further research for visualizations in this context.

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Section: Hyperstreamlinesmentioning

confidence: 99%

Visualization of Tensor Fields in Mechanics

Hergl

Blecha

Kretzschmar

et al. 2021

Computer Graphics Forum

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“…To analyze the regions where low convergence is observed, we investigate the stress distribution in these regions via trajectory-based visualization (Wang et al 2020).…”

Section: Introductionmentioning

confidence: 99%

Stress topology analysis for porous infill optimization

Wang

Westermann

2022

Struct Multidisc Optim

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The optimization of porous infill structures via local volume constraints has become a popular approach in topology optimization. In some design settings, however, the iterative optimization process converges only slowly, or not at all even after several hundreds or thousands of iterations. This leads to regions in which a distinct binary design is difficult to achieve. Interpreting intermediate density values by applying a threshold results in large solid or void regions, leading to sub-optimal structures. We find that this convergence issue relates to the topology of the stress tensor field that is simulated when applying the same external forces on the solid design domain. In particular, low convergence is observed in regions around so-called trisector degenerate points. Based on this observation, we propose an automatic initialization process that prescribes the topological skeleton of the stress field into the density field as solid simulation elements. These elements guide the material deposition around the degenerate points, but can also be remodelled or removed during the optimization. We demonstrate significantly improved convergence rates in a number of use cases with complex stress topologies. The improved convergence is demonstrated for infill optimization under homogeneous as well as spatially varying local volume constraints.

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“…An informative visualization of the stress directions in a 3D solid can be achieved via principal stress lines (PSLs), i.e., trajectories in 3D space along the principal stress directions. These trajectories are effective in communicating the pathways along which external loads are transmitted, and they show the mutual relationships between the different principal stress directions [2], [3]. In computational engineering, PSLs are used in particular to show where and how loads are internally redirected and deflected.…”

Section: Introductionmentioning

confidence: 99%

3D-TSV: The 3D Trajectory-based Stress Visualizer

Wang,

Neuhauser,

et al. 2021

Preprint

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We present the 3D Trajectory-based Stress Visualizer (3D-TSV), a visual analysis tool for the exploration of the principal stress directions in 3D solids under load. 3D-TSV provides a modular and generic implementation of key algorithms required for a trajectory-based visual analysis of principal stress directions, including the automatic seeding of space-filling stress lines, their extraction using numerical schemes, their mapping to an effective renderable representation, and rendering options to convey structures with special mechanical properties. In the design of 3D-TSV, several perceptual challenges have been addressed when simultaneously visualizing three mutually orthogonal stress directions via lines. We present a novel algorithm for generating a space-filling and evenly spaced set of mutually orthogonal lines. The algorithm further considers the locations of lines to obtain a more regular pattern repetition, and enables the extraction of a Focus+Context representation with user-selected levels of detail for individual stress directions. To further reduce visual clutter, the system provides the combined visualization of two selected principal directions via appropriately oriented ribbons. The rendering uses depth cues to better convey the spatial relationships between trajectories and improves ribbon rendering on steep angles. 3D-TSV is accessible to end users via a C++-and OpenGL-based rendering frontend that is seamlessly connected to a MATLAB-based extraction backend. A TCP/IP-based communication interface supports the flexible integration of alternative rendering frontends. The code (BSD license) of 3D-TSV is made publicly available.

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A Globally Conforming Lattice Structure for 2D Stress Tensor Visualization

Cited by 7 publications

References 17 publications

Visualization of Tensor Fields in Mechanics

Visualization of Tensor Fields in Mechanics

Stress topology analysis for porous infill optimization

3D-TSV: The 3D Trajectory-based Stress Visualizer

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