8 citations · 9 across the 5 of their papers we have counts for
5 papers
Comment on the elastica section in Thorne and Blandford "Modern Classical Physics", the shape of things, and the aspect ratio of reality
J. A. Hanna
I point out and diagnose an error in a figure in a textbook on classical physics. The error helps to illustrate a pitfall encountered when dealing with the shapes of objects, and p…
Momentum and pseudomomentum in a shallow water equation
J. A. Hanna
A basic shallow water system with variable topography is analyzed from the point of view of a Lagrangian derivation of momentum, energy, and pseudomomentum balances. A two-dimensio…
Anomalous curvature evolution and geometric regularization of energy focusing in the snapping dynamics of a flexible body
A. R. Dehadrai, J. A. Hanna
We examine the focusing of kinetic energy and the amplification of various quantities during the snapping motion of the free end of a flexible structure. This brief but violent eve…
Avoiding localization instabilities in rotary pleating
Tian Yu, J. A. Hanna
Rotary pleating is a widely used process for making filters out of nonwoven fabric sheets. This involves indirect elastic-plastic bending of pre-weakened creases by continuously in…
Energies for elastic plates and shells from quadratic-stretch elasticity
E. Vitral, J. A. Hanna
We derive stretching and bending energies for isotropic elastic plates and shells. Through the dimensional reduction of a bulk elastic energy quadratic in Biot strains, we obtain t…