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math.DG2025
Metric Implications in the Kinematics of Surfaces
Andre M. Sonnet, Epifanio G. Virga
In the direct approach to continua in reduced space dimensions, a thin shell is described as a mathematical surface in three-dimensional space. An exploratory kinematic study of su…
math.DG2025
Neutral Deformation Modes of Minimal Surfaces
Ande M. Sonnet, Epifanio G. Virga
Stretching, drilling, and bending are the independent deformation modes of a thin shell, each of which has an individual energy content. When the energy content of a mode vanishes,…
math.DG2024
Bending-Neutral Deformations of Minimal Surfaces
André M. Sonnet, Epifanio G. Virga
Minimal surfaces are ubiquitous in nature. Here they are considered as geometric objects that bear a deformation content. By refining the resolution of the surface deformation grad…