Wrinkles and creases in the bending, unbending and eversion of soft sectors.

ABSTRACT: We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought beyond complete straightening to turn into eversion. We find that the suggested mathematical solution to these problems always exists and is unique when the solid is modelled as a homogeneous, isotropic, incompressible hyperelastic material with a strain-energy satisfying the strong ellipticity condition. We also provide explicit asymptotic solutions for thin sectors. When the deformations are severe enough, the compressed side of the elastic material may buckle and wrinkles could then develop. We analyse, in detail, the onset of this instability for the Mooney-Rivlin str

SUBMITTER: Sigaeva T 

PROVIDER: S-EPMC5938672 | biostudies-literature | 2018 Apr

REPOSITORIES: biostudies-literature