4 papers
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…
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…
Unwrapping Chains
A. D. Cambou, B. D. Gamari, E. Hamm +4
A loop of chain can move along its own tangents, maintaining a steady shape. An open-ended chain undergoing a nontrivial motion must change its shape. One consequence is that chain…