Macroscopic and Microscopic Behavior of Narrow Elastic Ribbons
Source abstract
Abstract
A one-dimensional model for a narrow ribbon is derived from the plate theory of Kirchhoff by means of a power expansion in the width variable. The energy found coincides with the corrected Sadowsky’s energy. Furthermore, we derive the Euler-Lagrange equations and use them to study an equilibrium configuration of a twisted ribbon. Within this example we also describe how to construct the fine scale oscillations that develop in the deformed configuration.
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Research context
OpenAlex topics: Advanced Materials and Mechanics · Structural Analysis and Optimization · Advanced Sensor and Energy Harvesting Materials
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References (40)
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