Related Experiment Video
Updated: Jan 2, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Converging super-elliptic torsional shear waves in a bounded transverse isotropic viscoelastic material with
Martina Guidetti1, Diego Caratelli2, Thomas J Royston1
1Richard and Loan Hill Department of Bioengineering, University of Illinois at Chicago, 851 South Morgan Street, MC 063, Chicago, Illinois 60607, USA.
Abstract:
A theoretical approach was recently introduced [Guidetti and Royston, J. Acoust. Soc. Am. 144, 2312-2323 (2018)] for the radially converging slow shear wave pattern in transverse isotropic materials subjected to axisymmetric excitation normal to the axis of isotropy at the outer boundary of the material. This approach is enabled via transformation to an elliptic coordinate system with isotropic properties. The approach is extended to converging fast shear waves driven by axisymmetric torsional motion polarized in a plane containing the axis of isotropy. The approach involves transformation to a super-elliptic shape with isotropic properties and use of a numerically efficient boundary value approximation.
More Related Videos
Related Concept Videos
Thin-Walled Hollow Shafts
Elastic Strain Energy for Shearing Stresses
Torsion of Noncircular Members
Circular Shaft - Stresses in Linear Range
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Deformation in a Circular Shaft

