Scalar, vectorial and tensorial damage parameters from the mesoscopic background

In the mesoscopic theory a distribution of different crack sizes and crack orientations is introduced. A scalar damage parameter, a second order damage tensor and a vectorial damage parameter are defined in terms of this distribution function. As an example of a constitutive quantity the free energy density is given as a function of the damage tensor. This equation is reduced in the uniaxial case to a function of the damage vector and in case of a special geometry to a function of the scalar damage parameter.Comment: 14 pages, 2 figure

A mesoscopic approach to diffusion phenomena in mixtures

The mesosocpic concept is applied to the theory of mixtures. The aim is to investigate the diffusion phenomenon from a mesoscopic point of view. The domain of the field quantities is extended by the set of mesoscopic variables, here the velocities of the components. Balance equations on this enlarged space are the equations of motion for the mesoscopic fields. Moreover, local distribution functions of the velocities are introduced as a statistical element, and an equation of motion for this distribution function is derived. From this equation of motion differential equations for the diffusion fluxes, and also for higher order fluxes are obtained. These equations are of balance type, as it is postulated in Extended Thermodynamics. The resulting evolution equation for the diffusion flux generalizes the Fick's law

Inflated Private Offering: Regulating Corporate Insiders and Market Moving Disclosures on Social Media

This Note will explore Regulation FD’s development, from its enactment in 2000 to its status in the age of social media. It will ultimately propose a safe harbor provision that clearly delineates when issuers and corporate insiders are not subject to the regulation’s requirements. Part I provides an overview of Regulation FD’s provisions and enforcement as well as the SEC’s subsequent guidance, which attempts to elucidate the regulation’s application to new technologies. Part II analyzes the specific problems that arise when Regulation FD is applied to information distributed through social media and assesses scholars’ proposed solutions to these problems. Lastly, Part III proposes that a revised Regulation FD should incorporate a social media safe harbor provision to clarify the regulation’s application to corporate insiders’ use of social media to disseminate market-moving information

Regulated Deficit Irrigation of \u27Montmorency\u27 Tart Cherry

Regulated deficit irrigation (RDI) is the strategy of reducing irrigation rates during a specific period of growth and development, with the objective of conserving water and managing plant growth while maintaining or improving yield and fruit quality. Mature tart cherry (Prunus cerasus L. \u27Montmorency\u27) trees in a commercial orchard were subjected to a range of irrigation deficits from pit hardening to harvest during the 2007 and 2008 seasons. Irrigation treatments replaced from 62% to 96% of ETc, during that period. Midday stem water potential measurements were significantly different among treatments before harvest. However, fresh weight yield at harvest did not differ significantly among irrigation treatments in either year (P-value=0.64). In 2008 the amount of undersized fruit eliminated during packout was significantly higher in the treatments replacing 61% and 68% of ETc than in the control (P-value\u3c0.0001), but only amounted to 2.0% and 1.4% of total yields, respectively. This small increase in undersized fruit did not significantly affect packout. Fruit quality measurements, such as soluble solids concentration and chroma of whole intact fruit, increased with the severity of the irrigation deficit. Visible surface bark damage from mechanical harvesting appeared less severe as deficit levels increased. Return bloom was not significantly affected by irrigation treatments

Bounds for characteristic roots

Call number: LD2668 .R4 1968 P36