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math.DG2025
How periodic surfaces bend without stretching
Hussein Nassar, Andrew Weber
Many compliant shell mechanisms are periodically corrugated or creased. Being thin, their preferred deformation modes are inextensional, i.e., isometric. Here, we report on a recen…
math.DG2023
Effective isometries of periodic shells
Hussein Nassar, Andrew Weber
We argue that the standard classification of isometric deformations into infinitesimal v.s. finite is inadequate for the study of compliant shell mechanisms. Indeed, many compliant…
math.DG2023
Isometric deformations of surfaces of translation
Hussein Nassar
A \emph{surface of translation} is a sum of two space curves: a \emph{path} and a \emph{profile} . A fundamental problem of differential…