INTRODUCTION Very often, woven fabrics are used as the reinforcement in advanced composite materials. Although the resulting inplane stiffness is lower than of their unidirectional counterparts, the excellent drapability of these materials eases the production of more general doubly curved components. In addition, the inherently low out-of-plane strength of these layered materials improves due ...

We find a quartic example of a smooth embedded negatively curved surface in R homeomorphic to a doubly punctured torus. This constitutes an explicit solution to Hadamard’s problem on constructing complete surfaces with negative curvature and Euler characteristic in R. Further we show that our solution has the optimal degree of algebraic complexity via a topological classification for smooth cub...

[1] A discussion on the physical realizability of electromagnetic wave absorbers with perfectly matched impedances over arbitrary (i.e., doubly) curved, smooth surfaces is presented. The focus is on the analysis of the spectral characteristics (and their impact on the absorptive properties) of hypothetical material blueprints derived from the zeroreflection condition over such geometries.