Creating smooth surface models with ElasticSurfaceEmbedding.jl

07/28/2023, 2:00 PM2:10 PM UTC
32-144

Abstract:

In this talk, I introduce ElasticSurfaceEmbedding.jl, a package for creating holdable surfaces by weaving paper strips. I'll discuss the process of embedding pieces of a target surface into a plane and minimizing their elastic strain energy. The presentation aims to engage a diverse audience such as mathematicians, physicists, and handicraftsmen, and explore interdisciplinary implications. Physical examples will be showcased onsite.

Description:

In general, creating a surface from a planar material requires splitting the surface into small pieces to avoid large strain in the medium. The most non-trivial part of this project is how to find the planar shapes which become deformed into each piece of the surface. We characterized this shape by minimizing the strain energy in the medium. The minimization problem is formulated by weak-form PDE, and it can be solved numerically with ElasticSurfaceEmbedding.jl. This package uses B-spline-based Galerkin method and Newton-Raphson method internally. See my recent paper for more information.

I will bring some curved woven surfaces I made onsite. The top image is a catenoid and a helicoid which can be deformed into each other (watch video on YouTube).

The presentation slides are available at the following URL: https://www.docswell.com/s/hyrodium/5JL8EQ-JuliaCon2023.

Platinum sponsors

JuliaHub

Gold sponsors

ASML

Silver sponsors

Pumas AIQuEra Computing Inc.Relational AIJeffrey Sarnoff

Bronze sponsors

Jolin.ioBeacon BiosignalsMIT CSAILBoeing

Academic partners

NAWA

Local partners

Postmates

Fiscal Sponsor

NumFOCUS