#finiteelementmethod

AndreasFor much more rotations, a powerful numeric continuation method is your friend.The "speed" of the rotation is a result of the adaptive step-size of contique (one frame per converged step, constant framerate).<a href="https://github.com/adtzlr/contique" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://github.com/adtzlr/contique</a><a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/FiniteElementMethod" class="mention hashtag" rel="tag">#FiniteElementMethod</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/opensource" class="mention hashtag" rel="tag">#opensource</a>

Andreas🚀🚀 FElupe is now available on conda-forge! 🚀🚀 Unfortunately, it doesn't handle optional dependencies like pip. Anyway here's a nice animation of the <a href="https://mathstodon.xyz/tags/hyperelastic" class="mention hashtag" rel="tag">#hyperelastic</a> "twisting column" example from the book of Bonet & Wood. This one works without any fancy continuation techniques, it's just Newton's method.<a href="https://github.com/adtzlr/felupe" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://github.com/adtzlr/felupe</a><a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/FiniteElementMethod" class="mention hashtag" rel="tag">#FiniteElementMethod</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/opensource" class="mention hashtag" rel="tag">#opensource</a>

Chris Huck :freecad: :ubuntu:Sitting here running <a href="https://fosstodon.org/tags/FEA" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FEA</a> simulations in my hotel room, and my model has 1.24 MILLION degrees of freedom. I’m sure any of you that do FEA probably think that’s pretty pedestrian, but I don’t think many people would realize the size of the matrices being pushed around. This simulation takes about 25 minutes to run because of large displacement and surface contact, and it’s rather amazing that it only takes 25 minutes on modern hardware.<a href="https://fosstodon.org/tags/engineering" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#engineering</a> <a href="https://fosstodon.org/tags/FiniteElementMethod" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FiniteElementMethod</a>

AndreasThe result of the getting started notebook of <a href="https://mathstodon.xyz/tags/felupe" class="mention hashtag" rel="tag">#felupe</a>, which is deployed by <a href="https://mathstodon.xyz/tags/jupyterlite" class="mention hashtag" rel="tag">#jupyterlite</a> on <a href="https://mathstodon.xyz/tags/github" class="mention hashtag" rel="tag">#github</a>, is now ready-to-visualize directly in the browser, thanks to <a href="https://mathstodon.xyz/tags/jupyterview" class="mention hashtag" rel="tag">#jupyterview</a>!<a href="https://adtzlr.github.io/felupe-web/lab?path=01_Getting-Started.ipynb" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://adtzlr.github.io/felupe-web/lab?path=01_Getting-Started.ipynb</a><a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/webassembly" class="mention hashtag" rel="tag">#webassembly</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="tag">#finiteelementmethod</a>

AndreasMerry 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! 🔋 (This is a hyperelastic Mooney-Rivlin christmas tree under varying body forces.)<a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="tag">#finiteelementmethod</a> <a href="https://mathstodon.xyz/tags/holiday" class="mention hashtag" rel="tag">#holiday</a> <a href="https://mathstodon.xyz/tags/simulation" class="mention hashtag" rel="tag">#simulation</a> <a href="https://mathstodon.xyz/tags/hyperelasticity" class="mention hashtag" rel="tag">#hyperelasticity</a>

AndreasHello, world! Wait, for a nonlinear simulation <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> package? If you'd like to use FElupe for your <a href="https://mathstodon.xyz/tags/hyperelastic" class="mention hashtag" rel="tag">#hyperelastic</a> <a href="https://mathstodon.xyz/tags/simulation" class="mention hashtag" rel="tag">#simulation</a> but don't know where to start & too lazy to read the docs, you may use the hello_world() function to print a minimal-working example to the console.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... 🤓)<a href="https://github.com/adtzlr/felupe" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://github.com/adtzlr/felupe</a><a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="tag">#finiteelementmethod</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a>

AndreasHere's an example: let's take the Neo-Hookean [1] isotropic <a href="https://mathstodon.xyz/tags/hyperelastic" class="mention hashtag" rel="tag">#hyperelastic</a> material model formulation. Just define its strain energy density function and use it in your <a href="https://mathstodon.xyz/tags/simulation" class="mention hashtag" rel="tag">#simulation</a> [2]. [1] <a href="https://en.wikipedia.org/wiki/Neo-Hookean_solid" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://en.wikipedia.org/wiki/Neo-Hookean_solid</a>[2] <a href="https://github.com/adtzlr/felupe" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://github.com/adtzlr/felupe</a><a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="tag">#finiteelementmethod</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/jax" class="mention hashtag" rel="tag">#jax</a>

AndreasHave you ever thought 💡 of using JAX as 🧮 <a href="https://mathstodon.xyz/tags/automaticdifferentiation" class="mention hashtag" rel="tag">#automaticdifferentiation</a> engine in 💻 finite element simulations? Boost the performance 🏇 of computationally-expensive hyperelastic material models with <a href="https://mathstodon.xyz/tags/jit" class="mention hashtag" rel="tag">#jit</a> in 🔍 FElupe! 🚀 🚀<a href="https://github.com/adtzlr/felupe" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://github.com/adtzlr/felupe</a><a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/jax" class="mention hashtag" rel="tag">#jax</a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="tag">#finiteelementmethod</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/hyperelasticity" class="mention hashtag" rel="tag">#hyperelasticity</a>

AndreasWith 🔍 FElupe, it's easier than ever to simulate the deformation of nonlinear hyperelastic solid bodies!<a href="https://github.com/adtzlr/felupe" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://github.com/adtzlr/felupe</a><a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/numpy" class="mention hashtag" rel="tag">#numpy</a> <a href="https://mathstodon.xyz/tags/scipy" class="mention hashtag" rel="tag">#scipy</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="tag">#finiteelementmethod</a> <a href="https://mathstodon.xyz/tags/numericsimulation" class="mention hashtag" rel="tag">#numericsimulation</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/opensource" class="mention hashtag" rel="tag">#opensource</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/hyperelasticity" class="mention hashtag" rel="tag">#hyperelasticity</a>

AndreasIn numeric simulations of the deformation of solid bodies coming into contact, a good contact algorithm is required. Beside the typical approaches (node-to-segment, segment-to-segment or Mortar-based), the so-called third medium frictionless contact method with a Hessian-based regularization is carried out in an example of FElupe. The method does not require any special treatment of surface normals - instead, the air (a.k.a. third medium) is represented by a very soft solid (with all its benefits and drawbacks...).<a href="https://en.wikipedia.org/wiki/Third_medium_contact_method" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://en.wikipedia.org/wiki/Third_medium_contact_method</a><a href="https://felupe.readthedocs.io/" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://felupe.readthedocs.io/</a><a href="https://mathstodon.xyz/tags/finiteelementmethod" class="mention hashtag" rel="tag">#finiteelementmethod</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/opensource" class="mention hashtag" rel="tag">#opensource</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/contact" class="mention hashtag" rel="tag">#contact</a> <a href="https://mathstodon.xyz/tags/mesh" class="mention hashtag" rel="tag">#mesh</a>

AndreasIn my Python FEA package FElupe I've noticed that the time spent on assembling (especially large) finite element matrices takes longer than in recent releases. The slowdown is about 15% to 100%, depending on the number of degrees of freedom. From a computational-cost point of view, there are some cheap arrays stored inside a numeric region. A somewhat massive einsum-call further evaluates the values for the sparse finite element matrix. Due to some recent code changes, these cheap region arrays aren't contiguous anymore. That slows down the finite element matrix assembly up to 100%! By ensuring C-contiguous arrays, performance is back to normal (NumPy array flags are available as attribute ndarray.flags).<a href="https://github.com/adtzlr/felupe" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://github.com/adtzlr/felupe</a><a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/numpy" class="mention hashtag" rel="tag">#numpy</a> <a href="https://mathstodon.xyz/tags/FiniteElementMethod" class="mention hashtag" rel="tag">#FiniteElementMethod</a> <a href="https://mathstodon.xyz/tags/finiteelements" class="mention hashtag" rel="tag">#finiteelements</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a>

AndreasFElupe 🔍 now has visual previews for the schemes of most numeric regions (finite element formulation + quadrature rule) in its HTML API docs - thanks to PyVista. There are also a lot of helpful static and interactive plots in other sections of the docs too. Go check it out! Simulating the nonlinear deformation of hyperelastic structures has never been easier in a few lines of Python code.<a href="https://felupe.readthedocs.io/" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://felupe.readthedocs.io/</a><a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/FiniteElementMethod" class="mention hashtag" rel="tag">#FiniteElementMethod</a> <a href="https://mathstodon.xyz/tags/finiteelements" class="mention hashtag" rel="tag">#finiteelements</a> <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/plot" class="mention hashtag" rel="tag">#plot</a>

AndreasNotch notch! Just Lupin' around... 🛠️ :k5: 🧐 🔍 FElupe<a href="https://felupe.readthedocs.io/en/latest/examples" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://felupe.readthedocs.io/en/latest/examples</a><a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/FiniteElementMethod" class="mention hashtag" rel="tag">#FiniteElementMethod</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/meshing" class="mention hashtag" rel="tag">#meshing</a>

AndreasRecently, I've put a lot of effort in completing the documentation of 🔍 FElupe, especially its API reference. There is still room for improvement, but I consider it to be in a fairly good shape now 📝. There are also new tutorials 🎓 and examples 🧮 - have a look if you haven't already! If you have ideas 💡 on how to improve it, please let me know!<a href="https://felupe.readthedocs.io/en/latest" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://felupe.readthedocs.io/en/latest</a><a href="https://mathstodon.xyz/tags/FiniteElementMethod" class="mention hashtag" rel="tag">#FiniteElementMethod</a> <a href="https://mathstodon.xyz/tags/finiteelements" class="mention hashtag" rel="tag">#finiteelements</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/python" class="mention hashtag" rel="tag">#python</a> <a href="https://mathstodon.xyz/tags/fem" class="mention hashtag" rel="tag">#fem</a> <a href="https://mathstodon.xyz/tags/fea" class="mention hashtag" rel="tag">#fea</a> <a href="https://mathstodon.xyz/tags/meshing" class="mention hashtag" rel="tag">#meshing</a> <a href="https://mathstodon.xyz/tags/hyperelasticity" class="mention hashtag" rel="tag">#hyperelasticity</a> <a href="https://mathstodon.xyz/tags/opensource" class="mention hashtag" rel="tag">#opensource</a>

Kevin Moerman 🔓🦿:julia:Interesting paper by <a href="https://hachyderm.io/@jedbrown" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@jedbrown</a> et al. <a href="https://doi.org/10.48550/arXiv.2401.13196" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://doi.org/10.48550/arXiv.2401.13196</a>For computational mechanics/physics, if you code by just punching in the equations from the textbooks directly, the physics should work, but computationally the way you evaluate the quantities may be unstable. This paper lists some recipes to avoid these. Mostly small strain problem, but still feels icky to leave in. <a href="https://fosstodon.org/tags/FiniteElementMethod" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FiniteElementMethod</a> <a href="https://fosstodon.org/tags/FiniteElementAnalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FiniteElementAnalysis</a> <a href="https://fosstodon.org/tags/FEBio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FEBio</a> <a href="https://fosstodon.org/@mofem" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@mofem</a> <a href="https://fosstodon.org/@likask" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@likask</a> <a href="https://fosstodon.org/tags/Ferrite" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Ferrite</a> <a href="https://social.linux.pizza/@koehlerson" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@koehlerson</a>

AndreasThe docs of the Tensor Toolbox for Modern Fortran have finally arrived in the 21st century. New look, search included. Useful for constitutive material formulations e.g. in <a href="https://mathstodon.xyz/tags/FEA" class="mention hashtag" rel="tag">#FEA</a> software packages like <a href="https://mathstodon.xyz/tags/Abaqus" class="mention hashtag" rel="tag">#Abaqus</a> <a href="https://mathstodon.xyz/tags/umat" class="mention hashtag" rel="tag">#umat</a> or <a href="https://mathstodon.xyz/tags/Marc" class="mention hashtag" rel="tag">#Marc</a> <a href="https://mathstodon.xyz/tags/hypela2" class="mention hashtag" rel="tag">#hypela2</a> subroutines. <a href="https://adtzlr.github.io/ttb/" target="_blank" rel="nofollow noopener noreferrer" translate="no">https://adtzlr.github.io/ttb/</a><a href="https://mathstodon.xyz/tags/Fortran" class="mention hashtag" rel="tag">#Fortran</a> <a href="https://mathstodon.xyz/tags/FEM" class="mention hashtag" rel="tag">#FEM</a> <a href="https://mathstodon.xyz/tags/hyperelasticity" class="mention hashtag" rel="tag">#hyperelasticity</a> <a href="https://mathstodon.xyz/tags/scientificcomputing" class="mention hashtag" rel="tag">#scientificcomputing</a> <a href="https://mathstodon.xyz/tags/computationalmechanics" class="mention hashtag" rel="tag">#computationalmechanics</a> <a href="https://mathstodon.xyz/tags/FiniteElementMethod" class="mention hashtag" rel="tag">#FiniteElementMethod</a> <a href="https://mathstodon.xyz/tags/opensource" class="mention hashtag" rel="tag">#opensource</a> <a href="https://mathstodon.xyz/tags/openscience" class="mention hashtag" rel="tag">#openscience</a>

MoFEMLast week Andrei gave his first <a href="https://fosstodon.org/tags/keynote" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#keynote</a> <a href="https://fosstodon.org/tags/plenary" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#plenary</a> talk at the <a href="https://fosstodon.org/tags/ECCOMAS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ECCOMAS</a> Young Investigators Conference 2023 in the Faculdade de Engenharia da Universidade do Porto. Many thanks to the organisers, particularly Rodrigo Pinto Carvalho and Igor Lopes, for inviting. Advanced <a href="https://fosstodon.org/tags/opensource" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#opensource</a> <a href="https://fosstodon.org/tags/finiteelementmethod" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#finiteelementmethod</a> tools are becoming increasingly popular in the ECCOMAS community!

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