Stabileo Research
Artigos de mecânica computacional que você pode executar. Reproduzimos o código dos autores, reimplementamos o método no motor do Stabileo, validamos em relação a essa referência e permitimos que você o execute aqui com seus próprios parâmetros, no visualizador do Stabileo.
Pesquisa, não uma ferramenta de projeto. Nada aqui é um resultado de engenharia; a concordância com um código de referência não é uma certificação. Contribuições: CONTRIBUTING.md.
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Phase-field fracture of a notched plate
Pull a notched plate apart and watch an AT2 phase-field crack form and run, solved in your browser and checked step by step against the author’s code.
Less than 500 lines self-contained Python finite element implementation of the phase-field method for fracture mechanics. Nathan Shauer, Advances in Engineering Software, 2025.
Em breve
- em andamento
Topology optimization of an MBB beam
SIMP with density filter and optimality criteria, against the 88-line reference results - em andamento
Mechanics of spring networks
Truss networks against the paper’s published numbers (no reference code)
Na nossa lista: artigos que planejamos reproduzir
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Predicting the mechanical properties of spring networks
Doron Grossman, Arezki Boudaoud · Physical Review Research · doi:10.1103/17sg-gzhl
Derives the elastic continuum model of an arbitrary network of Hookean springs from its geometry and topology alone, including the nonaffine displacements, and checks it against simulations of crystalline and disordered networks.
Resumo em nossas palavras, a partir do resumo.
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Snapping and switching of elastic arches with patterned preferred curvature
Michał Zmyślony, Ammar Khan, John S. Biggins · Physical Review Research · doi:10.1103/56f8-8gsx
Elastica theory and photomechanical experiments on an arch whose preferred curvature varies along its length and in time. A shallow-arch theory projects the curvature pattern onto Euler buckling modes; overlap with the fundamental mode makes the arch snap, other patterns give a continuous switch to a higher mode. Patterns with the largest energy release and the lowest threshold are found, and the same control applies to passive pre-curved arches loaded at the boundaries.
Resumo em nossas palavras, a partir do resumo.
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Controlling the snap-through behavior of an elastica strip by cuts
Eszter Fehér · European Journal of Mechanics - A/Solids · doi:10.1016/j.euromechsol.2026.106217
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Differentiable force density method for the design of lightweight structures
Rafael Pastrana, Deniz Oktay, Kai-Uwe Bletzinger et al. · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2026.118783
The JAX FDM library computes equilibrium shapes of pin-jointed bar systems with the force density method and solves inverse design problems by tuning force densities, loads and support positions with gradient-based optimization against goals and constraints; written in JAX, so the simulation is differentiable and JIT-compiled.
Resumo em nossas palavras, a partir do README do código.
Código: arpastrana/jax_fdm (MIT)
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Topology and geometry optimization of grid-shells incorporating design-dependent self-weight loading
Helen E. Fairclough, Karol Bołbotowski, Linwei He et al. · Computers & Structures · doi:10.1016/j.compstruc.2025.107997
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Optimization of the Initial Post‐Buckling Response of Trusses and Frames by an Asymptotic Approach
Federico Ferrari, Ole Sigmund · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.70082
Uses Koiter's asymptotic post-buckling expansion in sizing and topology optimization of trusses and frames. Constraining the first two asymptotic coefficients (initial post-buckling slope and curvature) shapes the post-buckling response and lowers imperfection sensitivity, and the same expansion approximates the nonlinear response so that measures such as end-compliance can be optimized.
Resumo em nossas palavras, a partir do resumo.
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A framework for structural shape optimization based on automatic differentiation, the adjoint method and accelerated linear algebra
Gaoyuan Wu · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-023-03601-0
Código: GaoyuanWu/JaxSSO (MIT)
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On benchmarking and good scientific practise in topology optimization
Ole Sigmund · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-022-03427-2
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Giga-voxel computational morphogenesis for structural design
Niels Aage, Erik Andreassen, Boyan S. Lazarov et al. · Nature · doi:10.1038/nature23911
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Ultralight, ultrastiff mechanical metamaterials
Xiaoyu Zheng, Howon Lee, Todd H. Weisgraber et al. · Science · doi:10.1126/science.1252291
Octet-truss microlattices made by projection microstereolithography from polymers, metals and ceramics. Because their struts carry load axially instead of bending, the materials are very stiff and strong for their low density.
Resumo em nossas palavras, a partir do resumo.
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Topological boundary modes in isostatic lattices
C. L. Kane, T. C. Lubensky · Nature Physics · doi:10.1038/nphys2835
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Efficient topology optimization in MATLAB using 88 lines of code
Erik Andreassen, Anders Clausen, Mattias Schevenels et al. · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-010-0594-7
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Crowd synchrony on the Millennium Bridge
Steven H. Strogatz, Daniel M. Abrams, Allan McRobie et al. · Nature · doi:10.1038/438043a
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Layout optimization of large-scale pin-jointed frames
Matthew Gilbert, Andrew Tyas · Engineering Computations · doi:10.1108/02644400310503017
Ground-structure layout optimization of trusses is limited by the number of potential members. The paper presents an iterative member-adding method, built on linear-programming column generation, that starts from a sparsely connected ground structure and adds members as needed until the provably optimal layout is reached, handling problems with very large numbers of potential members.
Resumo em nossas palavras, a partir do resumo.
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Generating optimal topologies in structural design using a homogenization method
Martin Philip Bendsøe, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(88)90086-2
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Buckminster Fuller's “Tensegrity” structures and Clerk Maxwell's rules for the construction of stiff frames
C.R. Calladine · International Journal of Solids and Structures · doi:10.1016/0020-7683(78)90052-5
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The force density method for form finding and computation of general networks
H.-J. Schek · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(74)90045-0
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The stone skeleton
Jacques Heyman · International Journal of Solids and Structures · doi:10.1016/0020-7683(66)90018-7
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Stiffness and Deflection Analysis of Complex Structures
M. J. TURNER, R. W. CLOUGH, H. C. MARTIN et al. · Journal of the Aeronautical Sciences · doi:10.2514/8.3664
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LVIII. The limits of economy of material in frame-structures
A.G.M. Michell · The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786440409463229
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L. On the calculation of the equilibrium and stiffness of frames
J. Clerk Maxwell · The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786446408643668