On the stability of the μ(I)\mu(I)-rheology for granular flow

This article deals with the Hadamard instability of the so-called $\mu(I)$ model of dense rapidly-sheared granular flow, as reported recently by Barker et al. (2015,this journal, ${\bf 779}$, 794-818). The present paper presents a more comprehensive study of the linear stability of planar simple shearing and pure shearing flows, with account taken of convective Kelvin wave-vector stretching by the base flow. We provide a closed form solution for the linear stability problem and show that wave-vector stretching leads to asymptotic stabilization of the non-convective instability found by Barker et al. We also explore the stabilizing effects of higher velocity gradients achieved by an enhanced-continuum model based on a dissipative analog of the van der Waals-Cahn-Hilliard equation of equilibrium thermodynamics. This model involves a dissipative hyper-stress, as the analog of a special Korteweg stress, with surface viscosity representing the counterpart of elastic surface tension. Based on the enhanced continuum model, we also present a model of steady shear bands and their non-linear stability against parallel shearing. Finally, we propose a theoretical connection between the non-convective instability of Barker et al. and the loss of generalized ellipticity in the quasi-static field equations. Apart from the theoretical interest, the present work may suggest stratagems for the numerical simulation of continuum field equations involving the $\mu(I)$ rheology and variants thereof.Comment: 30 pages, 13 figure

The Association between Finance Policy, Business Risk and Firm Growth Affect in Taiwan

[[abstract]]This study applies the panel smooth transition regression (PSTR) model to investigate the non-linear dynamic relationship between firm growth and firm size in the Taiwan electronic information industry. Our empirical results reveal that firm growth and firm size present a non-linear relationship. Firm growth is different under the size threshold value and the control variables of firm age, business risk, debt, R&D, and free cash flow (FCF). The different firm size attributes of firm growth produce completely different business risks. We recommend that firms should measure business risk and firm growth. High leverage risk does not necessarily mean one will get a higher firm growth. In sum, the business risk is an important index when looking at firm growth.[[sponsorship]]淡江大學兩岸金融研究中心; 淡江大學財務金融學系所; 靜宜大學財務金融學系所[[conferencedate]]20150517~20150517[[booktype]]紙本[[conferencelocation]]新北市, 台

Assembly Language

“Assembly Language” is a culmination of an exploration, through the medium of ceramics, in understanding complexity that arises through the interactions between simple components. In the realm of computer science, the term “Assembly Language” refers to a low-level programming language for any programmable digital device. It is typically just one step above writing in the raw ones and zeros of binary. Every program at some point needs to be translated into assembly language so that it can be understood by the device, and every program that has ever been written for a digital device is essentially composed of a series of these simple assembly language instructions. In this body of work, I use the metaphor of the role of assembly language in computer science to explore a similar process of breaking down complex systems into simple components and then using those simple components to construct new complex systems. The starting point for this investigation is the design of a root component that would have common physical interface points with other instances of that component. My choice of a root component is a five-degree tapered column with a height that is four times the length of one of the sides of its largest hexagonal end. I created a synthetic phylogeny of the components used in the creation of works for this show. A component’s ancestor within this phylogeny is the one with the most influence on the revisions to create the new component. All works created for this exploration are comprised solely of components that are ceramic instances of the components shown in the phylogeny. Each grouping highlights a novel interface between individual components joining together to form something more complex. Each work showcases a particular instance of this interfacing between instances of components to form a unique sculpture

Innovation Leads to World\u27s Largest Casual Dining Company

The chairman and CEO of Darden Restaurants, Inc. discusses the growth and success of the Red Lobster chain and the founding of the Olive Garde

Frequency stabilization of an external-cavity diode laser

Using a hybrid optical/electronic technique, an external-cavity diode laser was frequency stabilized with respect to the sub-Doppler spectrum of cesium vapor. Laser linewidths of 65 kHz and frequency stabilities of ±10 kHz were obtained

A new six-degree-of-freedom force-reflecting hand controller for space telerobotics

A new 6 degree of freedom universal Force Reflecting Hand Controller (FRHC) was designed for use as the man-machine interface in teleoperated and telerobotic flight systems. The features of this new design include highly intuitive operation, excellent kinesthetic feedback, high fidelity force/torque feedback, a kinematically simple structure, mechanically decoupled motion in all 6 DOF, good back-drivability, and zero backlash. In addition, the new design has a much larger work envelope, smaller stowage volume, greater stiffness and responsiveness, and better overlap of the human operator's range of motion than do previous designs. The utility and basic operation of a new, flight prototype FRHC called the Model X is briefly discussed. The design heritage, general design goals, and design implementation of this advanced new generation of FRHCs are presented, followed by a discussion of basic features and the results of initial testing