We propose a robust computational method for the coupled simulation of a compressible high-speed flow interacting with a highly flexible thin-shell structure. A standard Eulerian finite volume formulation on a fixed Cartesian mesh is used for the fluid, and a Lagrangian formulation based on subdivision finite elements on an unstructured mesh is used for the shell. The fluid–shell interface on t...

Interferometric CO(J=1→0 and 2→ 1) observations reveal a remarkably thin shell of molecular gas around the carbon star TT Cyg, width/radius <∼ 1. ′′3/34′′ ≈ 0.04. It expands at ≈13 km s−1, and contains ∼0.02M of gas provided the CO abundance with respect to H2 is 10−3 and the distance is 1 kpc. Only about a quarter of the shell has been mapped, but we infer an overall spherical shell with only ...

Silicon is regarded as one of the most promising anode materials for next generation lithium-ion batteries. For use in practical applications, a Si electrode must have high capacity, long cycle life, high efficiency, and the fabrication must be industrially scalable. Here, we design and fabricate a yolk-shell structure to meet all these needs. The fabrication is carried out without special equi...

We study the self-force acting on static electric or scalar charges inside or outside a spherical, massive, thin shell. The regularization of the self-force is done using the recently proposed mode sum regularization prescription. In all cases the self-force acting on the charge is repulsive. We find that in the scalar case the force is quadratic in the mass of the shell, and is a second post-N...

We study the variance of the fluctuations in the number of lattice points in a ball and in a thin spherical shell of large radius centred at a Diophantine point. §

We develop a finite-element method for the simulation of dynamic shell fracture and fragmentation based on cohesive models of fracture. We assume the shells to be thin and to obey the Kirchhoff-Love theory. The shell is spatially discretized by means of subdivision shell elements. Fracture is allowed only along element edges and is assumed to be governed by a cohesive law. When coupled to the s...

Thin-shell carbon fiber composites have great potential for structures that require large recoverable deformations, high stiffness and low weight, as in deployable space structures, biomedical devices robotics. Despite being astonishingly flexible direction, such thin shells are highly sensitive to off-axis loading. This relates the manufacturing complexity sensitivity imperfections, revealing ...

The applicability and limitations of simplified models thin elastic circular cylindrical shells for linear vibrations double-walled carbon nanotubes (DWCNTs) are considered. models, which based on the assumptions membrane moment approximate thin-shell theories, compared with extended Sanders–Koiter shell theory. Actual discrete DWCNTs modelled by means couples concentric equivalent continuous t...

We consider a composite piezoelectric material whose reference configuration is a thin shell with fixed thickness. In this work, we give a new approach based on the periodic unfolding method to justify the modelling of a thin piezoelectric perforated shells and we establish the limit constitutive law by letting the size of holes is supposed to go to zero. This allows to use the homogenization t...