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#ComputationalMechanics

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Kevin Moerman 🔓🦿<p>A simple parameterised hexahedral mesh of a cylindrical solid. </p><p>Coming soon to <a href="https://fediscience.org/tags/Comodo" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Comodo</span></a> </p><p><a href="https://github.com/COMODO-research/Comodo.jl" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">github.com/COMODO-research/Com</span><span class="invisible">odo.jl</span></a></p><p><a href="https://fediscience.org/tags/opensource" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>opensource</span></a> <a href="https://fediscience.org/tags/computationalmechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>computationalmechanics</span></a> <a href="https://fediscience.org/tags/geometryprocessing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geometryprocessing</span></a></p><p>An animation of a hexahedral mesh for a solid cylinder. The animation shows a cylinder with blue quadrilateral faces on top, yellow ones in the bottom, and red ones on the side. The screen shows 3 sliders. When the first slider is changed the mesh density is increased iteratively (each quad is split into 4 new ones). If the second slider is changed the height of the cylinder is changed and new elements are added to maintain a similar point spacing. If the third slider is changed the radius is changed. When the radius is decreased the point spacing decreases and hence additional elements are also added in the height direction to maintain a homogeneous mesh. This animation therefore shows a full parameterisation of a hexahedral mesh of the cylinder.</p>
Kevin Moerman 🔓🦿:julia:<p>Working on automated parameterised meshing of <a href="https://fosstodon.org/tags/FiniteElementAnalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FiniteElementAnalysis</span></a> of periodic auxetic structures. </p><p><a href="https://fosstodon.org/tags/Julialang" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Julialang</span></a> <a href="https://fosstodon.org/tags/ComputationalMechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComputationalMechanics</span></a> <a href="https://fosstodon.org/tags/ComputationalDesign" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComputationalDesign</span></a> <a href="https://fosstodon.org/tags/Comodo" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Comodo</span></a> <a href="https://fosstodon.org/tags/opensource" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>opensource</span></a> </p><p>More on auxetic structures: <br><a href="https://en.wikipedia.org/wiki/Auxetics" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">en.wikipedia.org/wiki/Auxetics</span><span class="invisible"></span></a></p><p>Built using the Comodo project: <br><a href="https://github.com/COMODO-research/Comodo.jl" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">github.com/COMODO-research/Com</span><span class="invisible">odo.jl</span></a></p>
Andreas<p>The result of the getting started notebook of <a href="https://mathstodon.xyz/tags/felupe" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>felupe</span></a>, which is deployed by <a href="https://mathstodon.xyz/tags/jupyterlite" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>jupyterlite</span></a> on <a href="https://mathstodon.xyz/tags/github" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>github</span></a>, is now ready-to-visualize directly in the browser, thanks to <a href="https://mathstodon.xyz/tags/jupyterview" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>jupyterview</span></a>!</p><p><a href="https://adtzlr.github.io/felupe-web/lab?path=01_Getting-Started.ipynb" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">adtzlr.github.io/felupe-web/la</span><span class="invisible">b?path=01_Getting-Started.ipynb</span></a></p><p><a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>python</span></a> <a href="https://mathstodon.xyz/tags/webassembly" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>webassembly</span></a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>scientificcomputing</span></a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>computationalmechanics</span></a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>finiteelementmethod</span></a></p>
Andreas<p>Merry Christmas everyone (...if you're living in a culture where this is celebrated). 🎄🎄 ☃️ ❄️ ⛷️ It's time to take a break from business as usual - get your batteries reloaded! 🔋 </p><p>(This is a hyperelastic Mooney-Rivlin christmas tree under varying body forces.)</p><p><a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>computationalmechanics</span></a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>scientificcomputing</span></a> <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>python</span></a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>finiteelementmethod</span></a> <a href="https://mathstodon.xyz/tags/holiday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>holiday</span></a> <a href="https://mathstodon.xyz/tags/simulation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>simulation</span></a> <a href="https://mathstodon.xyz/tags/hyperelasticity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>hyperelasticity</span></a></p>
Andreas<p>Hello, world! Wait, for a nonlinear simulation <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>python</span></a> package? If you'd like to use FElupe for your <a href="https://mathstodon.xyz/tags/hyperelastic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>hyperelastic</span></a> <a href="https://mathstodon.xyz/tags/simulation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>simulation</span></a> but don't know where to start &amp; too lazy to read the docs, you may use the hello_world() function to print a minimal-working example to the console.</p><p>Initially, I wasn't sure if that kind of function really makes sense. But it turns out that I'm using this one quite frequently. 📝 (shhh! Author here... 🤓)</p><p><a href="https://github.com/adtzlr/felupe" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">github.com/adtzlr/felupe</span><span class="invisible"></span></a></p><p><a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>scientificcomputing</span></a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>computationalmechanics</span></a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>finiteelementmethod</span></a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fem</span></a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fea</span></a></p>
Kevin Moerman 🔓🦿:julia:<p>Working on nested triply periodic lattices. Here a Gyroid levelset image is created and two interwoven/complementary surfaces are obtained by constructing isosurfaces for the same positive (white) or negative level (red). In the animation the levelset level is adjusted so the surfaces "shrink away" from each other. </p><p>More on Gyroids: <a href="https://en.wikipedia.org/wiki/Gyroid" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">en.wikipedia.org/wiki/Gyroid</span><span class="invisible"></span></a>)</p><p>Coming soon to <a href="https://fosstodon.org/tags/Comodo" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Comodo</span></a> <a href="https://fosstodon.org/tags/Julialang" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Julialang</span></a> <a href="https://fosstodon.org/tags/opensource" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>opensource</span></a></p><p><a href="https://fosstodon.org/tags/ComputationalMechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComputationalMechanics</span></a> <a href="https://fosstodon.org/tags/ComputationalDesign" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComputationalDesign</span></a></p>
Kevin Moerman 🔓🦿:julia:<p>Playing with <a href="https://fosstodon.org/tags/FiniteElementAnalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FiniteElementAnalysis</span></a> of an "expansion mesh" like structure. The geometry, mesh and boundary condition creation, as well as the FEA analysis, all occur automatically. </p><p>This simulation is still elastic, next step is to add plasticity. </p><p><a href="https://fosstodon.org/tags/ComputationalMechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComputationalMechanics</span></a> <a href="https://fosstodon.org/tags/GIBBON" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GIBBON</span></a></p>
Kevin Moerman 🔓🦿:julia:<p>Working on extruding or "thickening" meshes from surface elements to layers of solid elements. Here the test mesh features quads (left) which are thickened to produce hexahedral elements (right). </p><p>This is especially handy when one wants a high quality structured mesh of a thin structure. For instance meshing of blood vessel like structures. </p><p><a href="https://fosstodon.org/tags/Comodo" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Comodo</span></a> <a href="https://fosstodon.org/tags/JuliaLang" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JuliaLang</span></a> <a href="https://fosstodon.org/tags/ComputationalMechanics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComputationalMechanics</span></a> <a href="https://fosstodon.org/tags/ComputationalDesign" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComputationalDesign</span></a></p>
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Andreas

@villares Great! In FElupe, I eliminated one loop for performance reasons: First, I create a line-mesh and then expand it to a rectangle.

import felupe as fem

mesh = fem.Rectangle(a=(0, 0), b=(100, 100), n=(6, 6))

Here you'll find the rectangle-function

github.com/adtzlr/felupe/blob/

and here the expand-tool:

github.com/adtzlr/felupe/blob/

GitHubfelupe/src/felupe/mesh/_line_rectangle_cube.py at 4369e0a3e2b5cdcc78930e11bfb4b7c8edd3cf93 · adtzlr/felupeFinite Element Analysis. Contribute to adtzlr/felupe development by creating an account on GitHub.
#python#scientificcomputing#computationalmechanics
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