On the Crack Quasi-Static Growth

The theoretical model of quasi-static crack growth in the elastic-plastic material under load variation in a wide range. Small-scale yielding is principal assumption and main restriction of proposed theory. The model of crack growth provides for continues and interrelated both the crack propagation and plastic deformation development. The nonlinear first-order differential equation describes the quasi-static process of crack growth. In dimensionless form this equation invariant in respect to geometrical configuration and material. The critical size of the plastic zone is proposed as the characteristics of material resistance which is directly connected with the fracture toughness, but more convenient in practical applications of invariant equation. The demonstration of solution is performed for the double cantilever beam that widely used as the standard (DCB) sample for measurement of the mode-I interlaminar fracture toughness. he short analysis of some properties of solution of the invariant equation and its application is done.

ESTIMACIÓN DEL VAR MEDIANTE UN MODELO CONDICIONAL MULTIVARIADO BAJO LA HIPÓTESIS Α-ESTABLE SUB-GAUSSIANA

Resumen El objetivo de esta investigación es proponer un modelo de volatilidad multivariable, el cual combina la propiedad de la distribución α-estable para ajustar colas pesadas con el modelo GARCH para capturar clúster de volatilidad. El supuesto inicial es que los rendimientos siguen una distribución sub-Gaussiana, la cual es un caso particular de las distribuciones estables multivariadas. El modelo GARCH propuesto se aplica en la estimación del VaR a un portafolio compuesto por cinco activos que cotizan en la Bolsa Mexicana de Valores (BMV). En particular, se compara el desempeño del modelo propuesto con la estimación del VaR obtenida bajo la hipótesis multivariada Gaussiana, t-Student y Cauchy durante el período de la crisis financiera de 2008. Abstract The purpose of this investigation is to propose a multivariate volatility model that takes into consideration time varying volatility and the property of the α-stable sub-Gaussian distribution to model heavy tails. The principal assumption is that returns follow a sub-Gaussian distribution, which is a particular multivariate stable distribution. The proposed GARCH model is applied to a Value at Risk (VAR) estimation of a portfolio composed by 5 companies listed in the Mexican Stock Exchange Index (IPC) and compared with the one obtained using the normal multivariate distribution, t-Student and Cauchy. In particular, we examine performances during the financial crisis of 2008.

The “hamburger” story; or on Anglicisms in Polish

The paper makes an attempt to analyse the forms of co-functioning of world languages, taking into account the fact that popular prestigious languages exert influence upon a number of less popular ones, thereby dictating the forms of their further development. Thus, the thesis that media-favoured languages used by politically salient super-powers effectively influence the expressions accepted in a number of “less successful” languages is identified, evidenced and diagnosed. Furthermore, the latter part of the paper stresses the issues concerning the observation that English, recognized as the most prominent donor language, creates many forms of description generally used in many other languages to denote and define similar forms of experiences. Research aimed at discovering the ways in which English influences recipient languages, in this case Polish, was carried out. Our principal assumption was that there exist at least two types of numerous contacts between a donor and recipient language: ones that can be called external (when the donor language mostly influences the recipient one) and ones possibly labelled as internal (when various, normally observed forms of co-operation between the two languages can be traced). As in both cases some semantic bonds can be found, the subsequent research describes said bonds, naming them and uncovering the nature of such co-existence. The results of the research indicate clear forms of semantic co-existence showing that numerous borrowings and loanwords found in the recipient language are widely verbalized and deeply ingrained in the cultural linguistic interdependencies.

Partial Hölder continuity of minimizers of functionals satisfying a VMO condition

For a bounded, open set${\Omega\hskip-0.569055pt\subseteq\hskip-0.569055pt\mathbb{R}^{n}}$we consider the partial regularity of vectorial minimizers${u\hskip-0.853583pt:\hskip-0.853583pt\Omega\hskip-0.853583pt\rightarrow\hskip-% 0.853583pt\mathbb{R}^{N}}$of the functional$u\mapsto\int_{\Omega}f(x,u,Du)\,dx,$where${f:\Omega\times\mathbb{R}^{N}\times\mathbb{R}^{N\times n}\rightarrow\mathbb{R}}$. The principal assumption we make is thatfis asymptotically related to a function of the form${(x,u,\xi)\mapsto a(x,u)F(\xi)}$, whereFpossessesp-Uhlenbeck structure and the partial maps${x\mapsto a(x,\cdot\,)}$and${u\mapsto a(\,\cdot\,,u)}$are, respectively, of class VMO and${\mathcal{C}^{0}}$. We demonstrate that any minimizer${u\in W^{1,p}(\Omega)}$of this functional is Hölder continuous on an open set${\Omega_{0}}$of full measure. Finally, we show by means of an example that our asymptotic relatedness condition is very general and permits a large class of functions.

Modelling of Dynamic System Characteristics of Deep Hole Drilling Process with Tools about Flexible Stifness

For an accepted physical model with allowance of cutting "on a trace" phenomena, the initial mathematical model for want of processing deep hole is considered. In the work has been presented principal assumption to modeling of vibrating process of deep hole drilling. To implement the process were used specially developed construction of waveguide transducer to generate the self-excited vibrations. The use of the transducer was aimed at increasing the efficiency of the process and improve the quality of performed hole. Performed model was used to process numerical researches to obtain the amplitude-phase characteristics of the drilling parameters. Then they were compared with the appropriate characteristics obtained from experimental studies.

Faculty Intellectual Property Rights in Canadian Universities

ABSTRACT This article reports on a qualitative study of Intellectual Property regulation in Canadian universities, visited by the author. The study was based on policy and regulation comparative analysis, as well as semi-structured expert interviews carried out at Southern Ontario, Alberta and British Columbia universities. The principal assumption and purpose of the study is the useful understanding of the Canadian university intellectual property policies for potential applications to Lithuania and other emerging economies in the Baltic region and elsewhere. The study aimed to review and identify features of Canadian university intellectual property regimes, which can be held responsible for stimulating and sustaining technological innovation.

Ergodic measures of Markov semigroups with the e-property

We study the set of ergodic measures for a Markov semigroup on a Polish state space. The principal assumption on this semigroup is the e-property, an equicontinuity condition. We introduce a weak concentrating condition around a compact set K and show that this condition has several implications on the set of ergodic measures, one of them being the existence of a Borel subset K0 of K with a bijective map from K0 to the ergodic measures, by sending a point in K0 to the weak limit of the Cesàro averages of the Dirac measure on this point. We also give sufficient conditions for the set of ergodic measures to be countable and finite. Finally, we give a quite general condition under which the Cesàro averages of any measure converge to an invariant measure.

II: Typology of Metal Shield Fittings

The classification presented here is based on a multivariate analysis of the shield bosses from the Upper Thames region, carried out in 1975 (Dickinson 1976, 274–90, figs. 25–9). Intuitive methods had failed to work, just as they had probably failed for previous scholars, because shield bosses seem to lack strikingly obvious diagnostic features. By contrast, the adoption of an explicit and more broadly-based approach not only took advantage of the substantial sample, but also was well suited to the circumstances of the enquiry. Residual doubts, however, meant that the results were not published at the time, though others have found the system both useful and valid (e.g. Welch 1983, 136–40, where the essentials are summarized; Hirst 1985, 91) and Heinrich Härke (HH) also adopted it as a base for the dating of shield burials in the course of his research. There is little excuse, therefore, for withholding publication further, and it is presented here substantially as it was written then, save for some modifications and additions.The classification was devised as an aid to dating male graves in the context of a cultural-historical study of the Upper Thames cemeteries. Its aim was chronological order, and its principal assumption was that similarity of form reflected a similarity in time and space of production, use and final deposition. It was largely innocent of developments in the theoretical ramifications of artefact classification (e.g. Hill and Evans 1972; but see now especially Miller 1985), and no doubt both contains and obscures categories which have little or nothing to do with time and space: some of these are explored by HH later in this volume.

Conditions for the Rupture of a Lubricating Film. Part I: Theoretical Model

The shape of the film-vapor interface is found for a thin liquid film separating from a stationary surface and being swept away on an opposing moving surface. The analysis is for two-dimensional Newtonian flow, and includes the effects of gravity, inertia, and surface tension. The principal assumption is that of a quadratic tangential velocity distribution across the film. The solution shows that the entire separation phenomenon is completed in a distance of about one plate clearance from the stagnation point. Stagnation points occur on the vapor-liquid interface at the separation point and at a film height of 3h∞ (three times the film height on the moving plate far downstream). For a fixed separation height, the asymptotic film thickness h∞ is shown as a function of three dimensionless parameters. The results are in good agreement with published experimental data.

ELIMINATION OF SEISMIC GHOST REFLECTIONS BY MEANS OF A LINEAR FILTER

A technique is described for elimination of ghost reflections on magnetically recorded seismograph records by means of a linear filter. The application of this filter does not alter the character of primary reflections although eliminating the ghost reflections. The principal assumption made in the development of the technique is that the effect of AGC in altering the amplitude ratio of primary and ghost reflections is uniform for all record time. A realization of the required filter is given and a measurement technique is outlined for detecting the existence of ghost reflections based on the autocorrelation function of the seismograph trace.