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math.CA2016
Design and stability of a family of deployable structures
Thomas Lessinnes, Alain Goriely
A large family of deployable filamentary structures can be built by connecting two elastic rods along their length. The resulting structure has interesting shapes that can be stabi…
math.CA2016★ 4 cited
Geometric conditions for the positive definiteness of the second variation in one-dimensional problems
Thomas Lessinnes, Alain Goriely
Given a functional for a one-dimensional physical system, a classical problem is to minimize it by finding stationary solutions and then checking the positive definiteness of the s…