61 citations · 205 across the 13 of their papers we have counts for
6 papers · 1 filter
Dilation-invariant bending of elastic plates, and broken symmetry in shells
E. Vitral, J. A. Hanna
We propose bending energies for isotropic elastic plates and shells. For a plate, we define and employ a surface tensor that symmetrically couples stretch and curvature such that a…
Quadratic-stretch elasticity
E. Vitral, J. A. Hanna
A nonlinear small-strain elastic theory is constructed from a systematic expansion in Biot strains, truncated at quadratic order. The primary motivation is the desire for a clean s…
Cutting holes in bistable folds
T. Yu, I. Andrade-Silva, M. A. Dias +1
A folded disk is bistable, as it can be popped through to an inverted state with elastic energy localized in a small, highly-deformed region on the fold. Cutting out this singulari…
Exact and approximate mechanisms for pure bending of sheets
Tian Yu, J. A. Hanna
Direct measurement of the moment-curvature response of sheets or wires up to high curvatures can aid in modeling creasing, pleating, and other forming operations. We consider theor…
Overcurvature induced multistability of linked conical frusta: How a `bendy straw' holds its shape
Nakul P. Bende, Tian Yu, Nicholas A. Corbin +4
We study the origins of multiple mechanically stable states exhibited by an elastic shell comprising multiple conical frusta, a geometry common to reconfigurable corrugated structu…
Dipoles in thin sheets
Jemal Guven, J. A. Hanna, Osman Kahraman +1
A flat elastic sheet may contain pointlike conical singularities that carry a metrical "charge" of Gaussian curvature. Adding such elementary defects to a sheet allows one to make…