A fluid lipid membrane transmits stresses and torques that are fully determined by its
geometry. They can be described by a stress-and torque-tensor, respectively, which yield …

A non-Euclidean plate is a thin elastic object whose intrinsic geometry is not flat and hence
has residual stresses arising from being embedded in three dimensional space. Recently …

We formulate the problem of finding equilibrium shapes of a thin inextensible elastic strip,
developing further our previous work on the Möbius strip. By using the isometric nature of …

A variational framework is developed to examine the equilibrium states of a semiflexible
polymer that is constrained to lie on a fixed surface. As an application the confinement of a …

We examine analytically equilibrium conformations of elastic chains of paramagnetic beads
in the presence of a precessing magnetic field. Conformations of these filaments are …

The study of origami-based mechanical metamaterials usually focuses on the kinematics of
deployable structures made of an assembly of rigid flat plates connected by hinges. When …

Over the past decade, kirigami—the Japanese art of paper cutting—has been playing an
increasing role in the emerging field of mechanical metamaterials and a myriad of other …

The behavior of a lipid membrane on mesoscopic scales is captured unusually accurately by
its geometrical degrees of freedom. Indeed, the membrane geometry is, very often, a direct …

The existing theory of incompatible elastic sheets uses the deviation of the surface metric
from a reference metric to define the strain tensor [Efrati, J. Mech. Phys. Solids 57, 762 …

We examine the shape change of a thin disk with an inserted wedge of material when it is
pushed against a plane, using analytical, numerical, and experimental methods. Such …