New framework unifies discrete differential geometry for 1D energy models

Researchers have developed a new framework using discrete differential geometry to unify and analyze one-dimensional energy models for elastic ribbons. This approach allows for the comparison of various ribbon models, including Kirchhoff, Sadowsky, Wunderlich, Sano, and Audoly, by expressing energy as a function of coupled bending-twisting strain measures. A benchmark simulation of a pre-buckled arch subjected to transverse displacement showed that the Sano model most closely matched shell-based finite element simulations in capturing width-dependent shifts, with minimal computational overhead compared to standard Discrete Elastic Rods. AI

排序理由 This is a research paper detailing a new computational framework and model comparison. [lever_c_demoted from research: ic=1 ai=0.1]

在 arXiv cs.LG 阅读 →

• arXiv
• Audoly
• Discrete Elastic Ribbons
• Discrete Elastic Rods
• JAX
• Kirchhoff
• Sadowsky
• Shivam Kumar Panda

• 论文
• 其他

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