Over the past decade, kirigami--the Japanese art of paper cutting--has been playing an increasing role in emerging field mechanical metamaterials and a myriad other applications. Nonetheless, deep understanding mathematics mechanics kirigami structures is yet to be achieved order unlock their full potential pioneer more advanced applications field. In this work, we study most fundamental geomet...

Buckling of the transesophageal echocardiography probe was encountered in 6 of 23 patients (26.1%), although no complication occurred. When buckling occurred, acquisition of images and manipulation of the probe became difficult, resistance was felt when withdrawal of the probe was attempted, and the probe was fixed in the extreme ante- or dorsiflexion. In this situation, the probe was carefully...

Folding a sheet of paper along a curve can lead to structures seen in decorative art and utilitarian packing boxes. Here we present a theory for the simplest such structure: an annular circular strip that is folded along a central circular curve to form a three-dimensional buckled structure driven by geometrical frustration. We quantify this shape in terms of the radius of the circle, the dihed...

We study the buckling of elastic spherical shells under osmotic pressure with the osmolyte concentration of the exterior solution as a control parameter. We compare our results for the bifurcation behavior with results for buckling under mechanical pressure control, that is, with an empty capsule interior. We find striking differences for the buckling states between osmotic and mechanical buckl...

We use first-principles electronic structure calculations to predict a new class of two-dimensional (2D) topological insulators (TIs) in binary compositions of group III elements (B, Al, Ga, In, and Tl) and bismuth (Bi) in a buckled honeycomb structure. We identify band inversions in pristine GaBi, InBi, and TlBi bilayers, with gaps as large as 560 meV, making these materials suitable for room-...