Interactions Between Crumples in Thin Sheets
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Authors
Gimeno Neira, Damian Enrique
Issue Date
2025
Type
Thesis
Language
en_US
Keywords
Buckling , crumples , d-cones , Non-linear
Alternative Title
Abstract
Understanding the deformation of thin bodies is essential in various fields, including engineering and materials science. Buckling is a form of deformation that occurs when a body is subjected to mechanical stress. A key aspect in the buckling of 2-D structures is the emergence of localized, crescent-shaped features, which play a crucial role in their behavior. However, the interactions between these features, referred to here as “crumples”, remain poorly understood. Crumples are connected by ridges and valleys, both of which exhibit considerable bending and stretching energies. Their interactions appear to be a fundamental element in many buckling scenarios. This study examines the buckling behavior of thin elastic sheets subjected to shear-induced lateral displacement of one boundary, focusing on the interaction between crumples and their role in forming two types of bound structures, which we refer to as O-valleys and S-ridges. An experimental setup was designed to measure the force exerted on a sheet as it goes through stable buckled states, as well as the force required to unbind and bind O-valleys and S-ridges. Results show that O-valleys exhibit a fold bifurcation-like behavior, with S-ridges displaying similar interactions, both characterized by crumple repulsion and attraction. Future work exploring the stretching and bending energy distributions along these structures could provide predictive models for crumple dynamics, advancing the understanding of buckling mechanics.