Mechanics of Tunable Helices and Geometric Frustration in Biomimetic Seashells

Helical structures are ubiquitous in nature and engineering, ranging from DNA molecules to plant tendrils, from sea snail shells to nanoribbons. While the helical shapes in natural and engineered systems often exhibit nearly uniform radius and pitch, helical shell structures with changing radius and pitch, such as seashells and some plant tendrils, adds to the variety of this family of aesthetic beauty. Here we develop a comprehensive theoretical framework for tunable helical morphologies, and report the first biomimetic seashell-like structure resulting from mechanics of geometric frustration. In previous studies, the total potential energy is everywhere minimized when the system achieves equilibrium. In this work, however, the local energy minimization cannot be realized because of the geometric incompatibility, and hence the whole system deforms into a shape with a global energy minimum whereby the energy in each segment may not necessarily be locally optimized. This novel approach can be applied to develop materials and devices of tunable geometries with a range of applications in nano/biotechnology

Surface growth kinematics via local curve evolution

A mathematical framework is developed to model the kinematics of surface growth for objects that can be generated by evolving a curve in space, such as seashells and horns. Growth is dictated by a growth velocity vector field defined at every point on a generating curve. A local orthonormal basis is attached to each point of the generating curve and the velocity field is given in terms of the local coordinate directions, leading to a fully local and elegant mathematical structure. Several examples of increasing complexity are provided, and we demonstrate how biologically relevant structures such as logarithmic shells and horns emerge as analytical solutions of the kinematics equations with a small number of parameters that can be linked to the underlying growth process. Direct access to cell tracks and local orientation enables for connections to be made to the underlying growth process

Rethinking the implications of monetary policy: How a transactions role for money transforms the predictions of our leading models

Over the past several decades, economists have devoted ever-growing effort to developing economic models to help us understand how changes in interest rates brought about by monetary policy actions affect the production and provision of goods and services in the economy. Although New Keynesian models have broad appeal in explaining how changes in the money stock can affect business activity, these models generate results that are inconsistent with what we know about how interest rates move with policy-induced changes in the money stock. In "Rethinking the Implications of Monetary Policy: How a Transactions Role for Money Transforms the Predictions of Our Leading Models," Julia Thomas argues that by extending the New Keynesian model to reintroduce money's liquidity role, we can resolve some of the remaining divorce between economic theory and the patterns observed in the workings of actual economies.Monetary policy ; Keynesian economics

Characterization of green composites from biobased epoxy matrices and bio-fillers derived from seashell wastes

The seashells, a serious environmental hazard, are composed mainly by calcium carbonate, which can be used as filler in polymer matrix. The main objective of this work is the use of calcium carbonate from seashells as a bio-filler in combination with eco-friendly epoxy matrices thus leading to high renewable contents materials. Previously obtaining calcium carbonate, the seashells were washed and grinded. The powder obtained and the resin was characterized by DSC, TGA, X-ray diffraction (XRD), X-ray fluorescence spectroscopy (XRF), and rheology plate-plate. The results show that addition of 30 wt.% of seashell bio-filler increase mechanical properties as flexural modulus (over 50%) and hardness Shore D (over 6%) and thermal properties as an increase around 13% in glass transitions temperature. The results show that the addition of calcium carbonate from seashells is an effective method to increase mechanical properties of bio-composite and to reduce the residue of seashells from industrial production. (C) 2013 Elsevier Ltd. All rights reserved.L. Bernardi would like to thank CNPq, Consejo Nacional de Desenvolvimiento Cientifico y Tecnologico - Brasil for financial support through a scholarship number.Fombuena Borrás, V.; Bernardi, L.; Fenollar Gimeno, OÁ.; Boronat Vitoria, T.; Balart Gimeno, RA. (2014). Characterization of green composites from biobased epoxy matrices and bio-fillers derived from seashell wastes. Materials and Design. 57:168-174. doi:10.1016/j.matdes.2013.12.0321681745