59 citations · 144 across the 16 of their papers we have counts for
16 papers
Some explorations of Kirchhoff dynamics
O. W. Oguns, J. A. Hanna
The classical problem of a rigid body in an ideal fluid is a six-dimensional dynamical system with three conserved quantities. Despite its long history and its importance as a redu…
A sequence of elastic patterns in a sheared bent sheet
D. Gimeno, B. K. Meghwar, G. Fisher +3
We document a sequence of bifurcations and elastic patterns in sheared bent sheets of intermediate aspect ratio. The sheets undergo inversion of curvature through the passage of lo…
Closing a catenary loop: the lariat chain, the string shooter, and the heavy elastica
A. R. Dehadrai, J. A. Hanna
We review, critique, and extend results related to the problem of closed loop shape equilibria of a string shooter, a type of catenary consisting of steady, axially moving configur…
Shear stresses in fluid and solid membranes with bending elasticity
S. Dharmavaram, J. A. Hanna
Comparison of a few simple models of fluid and solid membranes illustrates how shear stresses can arise from a bending energy through a coupling between curvature and surface stres…
Exterior dissipation, proportional decay, and integrals of motion
M. Aureli, J. A. Hanna
Given a dynamical system with independent conserved quantities, we construct a multi-parameter family of new systems in which these quantities evolve monotonically and proporti…
Anisotropic swelling of anisotropic elastic panels
H. G. Wood, J. A. Hanna
While isotropic in-plane swelling problems for thin elastic sheets have been studied extensively in recent years, many shape-programmable materials, including nematic solids and 3D…
Pseudomomentum: origins and consequences
H. Singh, J. A. Hanna
The balance of pseudomomentum is discussed and applied to simple elasticity, ideal fluids, and the mechanics of inextensible rods and sheets. A general framework is presented in wh…
Contrasting bending energies from bulk elastic theories
H. G. Wood, J. A. Hanna
The choice of elastic energies for thin plates and shells is an unsettled issue with consequences for much recent modeling of soft matter. Through consideration of simple deformati…
Some observations on variational elasticity and its application to plates and membranes
J. A. Hanna
Energies and equilibrium equations for thin elastic plates are discussed, with emphasis on several issues pertinent to recent approaches in soft condensed matter. Consequences of c…
Partial constraint singularities in elastic rods
J. A. Hanna, H. Singh, E. G. Virga
We present a unified classical treatment of partially constrained elastic rods. Partial constraints often entail singularities in both shapes and reactions. Our approach encompasse…
The saturation bifurcation in coupled oscillators
H. G. Wood, A. Roman, J. A. Hanna
We examine examples of weakly nonlinear systems whose steady states undergo a bifurcation with increasing forcing, such that a forced subsystem abruptly ceases to absorb additional…
Bifurcations of buckled, clamped anisotropic rods and thin bands under lateral end translations
Tian Yu, J. A. Hanna
Motivated by observations of snap-through phenomena in buckled elastic strips subject to clamping and lateral end translations, we experimentally explore the multi-stability and bi…
Pick-up and impact of flexible bodies
H. Singh, J. A. Hanna
Picking up, laying down, colliding, rolling, and peeling are partial-contact interactions involving moving discontinuities. We examine the balances of momentum and energy across a…
Catenaries in viscous fluid
Brato Chakrabarti, J. A. Hanna
This work explores a simple model of a slender, flexible structure in a uniform flow, providing analytical solutions for the translating, axially flowing equilibria of strings subj…
A conserved quantity in thin body dynamics
J. A. Hanna, H. Pendar
Thin, solid bodies with metric symmetries admit a restricted form of reparameterization invariance. Their dynamical equilibria include motions with both rigid and flowing aspects.…
Jump conditions for strings and sheets from an action principle
J. A. Hanna
I present conditions for compatibility of velocities, conservation of mass, and balance of momentum and energy across moving discontinuities in inextensible strings and sheets of u…