Conformational deformation of a multi-jointed elastic loop

A new class of deformation is presented for a planar loop structure made up of slender elastic bodies and joints. In demonstrating the circumferential shortening of the multi-jointed elastic loop, diverse three-dimensional (3D) deformations emerge through piecewise deflections and discrete rotations. These 3D morphologies correspond to conformations of molecular ring systems. Through image processing, the 3D reconstructions of the deformed structures are characterized by number, geometry, and initial imperfections of the body segments. We elucidate from measurements that the conformational deformation without self-stress results from a cyclical assembly of compressive bending of elastic bodies with high shear rigidity. The mechanical insights gained may apply in controlling the polymorphism exhibited by the cyclical structures across scales.

Automated summary

A new class of deformation for planar loop structures made of slender elastic bodies and joints is introduced. Through piecewise deflections and discrete rotations, diverse three-dimensional deformations, resembling conformations of molecular ring systems, are achieved. Image processing is used for the three-dimensional reconstructions of the deformed structures, characterizing the number, geometry, and initial imperfections of the body segments. The study reveals that the conformational deformation, without self-stress, results from a cyclical assembly of compressive bending of elastic bodies with high shear rigidity. These mechanical insights can be applied in controlling polymorphism exhibited by cyclical structures across scales.