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Updated: Aug 23, 2025

Directed Cellular Self-Assembly to Fabricate Cell-Derived Tissue Rings for Biomechanical Analysis and Tissue Engineering
Published on: November 25, 2011
Universal Wrinkling of Supported Elastic Rings
Benjamin Foster1, Nicolás Verschueren1,2, Edgar Knobloch1
1Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA.
Abstract:
An exactly solvable family of models describing the wrinkling of substrate-supported inextensible elastic rings under compression is identified. The resulting wrinkle profiles are shown to be related to the buckled states of an unsupported ring and are therefore universal. Closed analytical expressions for the resulting universal shapes are provided, including the one-to-one relations between the pressure and tension at which these emerge. The analytical predictions agree with numerical continuation results to within numerical accuracy, for a large range of parameter values, up to the point of self-contact.
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