Peer-Reviewed Journal Details
Mandatory Fields
P. Ciarletta, M. Destrade
2014
Unknown
Ima Journal Of Applied Mathematics, Special Issue In Honour Of R.W. Ogden
Torsion instability of soft solid cylinders
Published
()
Optional Fields
elastic stability torsion Stroh formulation surface impedance central-impedance matrix
79
804
819
The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallel-plate rheometry of stubby cylinders, the geometrical constraints impose zero displacement of the axis of the cylinder, preventing the occurrence of such twisting instability. Under these experimental conditions, wrinkles occur on the cylinder's surface at a given critical angle of torsion. Here we investigate this subclass of elastic instability—which we call torsion instability—of soft cylinders subject to a combined finite axial stretch and torsion, by applying the theory of incremental elastic deformation superimposed on finite strains. We formulate the incremental boundary elastic problem in the Stroh differential form, and use the surface impedance method to build a robust numerical procedure for deriving the marginal stability curves. We present the results for a Mooney–Rivlin material and study the influence of the material parameters on the elastic bifurcation.
http://dx.doi.org/10.1093/imamat/hxt052
10.1093/imamat/hxt052
Grant Details
Irish Research Council (IRC)
new foundations
Publication Themes