Microstructural features of flow instability in α-titanium cylinders under high strain rate compression at 25°C to 400°C

Cylindrical specimens of commercial pure titanium have been compressed at strain rates in the range of 0.1 to 100 s-1 and temperatures in the range of 25-degrees-C to 400-degrees-C. At strain rates of 10 and 100 s-1, the specimens exhibited adiabatic shear bands. At lower strain rates, the material deformed in an inhomogeneous fashion. These material-related instabilities are examined in the light of the ''phenomenological model'' and the ''dynamic materials mode.'' It is found that the regime of adiabatic shear band formation is predicted by the phenomenological model, while the dynamic materials model is able to predict the inhomogeneous deformation zone. The criterion based on power partitioning is competent to predict the variations within the inhomogeneous deformation zone.

Parametric instability of stochastic columns

Columns which have stochastically distributed Young's modulus and mass density and are subjected to deterministic periodic axial loadings are considered. The general case of a column supported on a Winkler elastic foundation of random stiffness and also on discrete elastic supports which are also random is considered. Material property fluctuations are modeled as independent one-dimensional univariate homogeneous real random fields in space. In addition to autocorrelation functions or their equivalent power spectral density functions, the input random fields are characterized by scale of fluctuations or variance functions for their second order properties. The foundation stiffness coefficient and the stiffnesses of discrete elastic supports are treated to constitute independent random variables. The system equations of boundary frequencies are obtained using Bolotin's method for deterministic systems. Stochastic FEM is used to obtain the discrete system with random as well as periodic coefficients. Statistical properties of boundary frequencies are derived in terms of input parameter statistics. A complete covariance structure is obtained. The equations developed are illustrated using a numerical example employing a practical correlation structure.

Dependence of the large-scale vortex instability on latitude, stratification and domain size

In an earlier study, we reported on the excitation of large-scale vortices in Cartesian hydrodynamical convection models subject to rapid enough rotation. In that study, the conditions for the onset of the instability were investigated in terms of the Reynolds (Re) and Coriolis (Co) numbers in models located at the stellar North pole. In this study, we extend our investigation to varying domain sizes, increasing stratification, and place the box at different latitudes. The effect of the increasing box size is to increase the sizes of the generated structures, so that the principal vortex always fills roughly half of the computational domain. The instability becomes stronger in the sense that the temperature anomaly and change in the radial velocity are observed to be enhanced. The model with the smallest box size is found to be stable against the instability, suggesting that a sufficient scale separation between the convective eddies and the scale of the domain is required for the instability to work. The instability can be seen upto the colatitude of 30 degrees, above which value the flow becomes dominated by other types of mean flows. The instability can also be seen in a model with larger stratification. Unlike the weakly stratified cases, the temperature anomaly caused by the vortex structures is seen to depend on depth.

Snapthrough instability of a stochastic a von Mises truss

A von Mises truss with stochastically varying material properties is investigated for snapthrough instability. The variability of the snap-through load is calculated analytically as a function of the material property variability represented as a stochastic process. The bounds are established which are independent of the knowledge of the complete description of correlation structure which is seldom possible using the experimental data. Two processes are considered to represent the material property variability and the results are presented graphically. Ein von Mises Fachwerk mit stochastisch verteilten Materialeigenschaften wird bezüglich der Durchschlagsinstabilität untersucht. Die Spannbreite der Durchschlagslast wird analytisch als Funktion der Spannbreite der Materialeigenschaften berechnet, die stochastisch verteilt angenommen werden. Eine explizite Gesamtbeschreibung der Struktur ist bei Benutzung experimenteller Daten selten möglich. Deshalb werden Grenzen für die Durchschlagskraft entwickelt, die von der Kenntnis dieser Gesamtbeschreibung unabhängig sind. Zwei Grenzfälle werden betrachtet, um die Spannbreite der Materialeigenschaften darzustellen. Die Ergebnisse werden grafisch dargestellt.

Paradox between democracy and security- case study on Pakistan

Pro gradu-tutkielma tutkii demokratian ja turvallisuuden paradoksia Pakistanissa esitellen kuusi tekijää, jotka vaikuttavat kyseiseen paradoksiin. Näitä tekijöitä ovat historiallinen kehitys; eliittihallinto; taloudellinen kehitys; Pakistanin poliittisten tekijöiden demokratian eri määritelmät; opetuksen puuttuminen; ja valtataistelu hallituksen, armeijan, tiedustelupalvelun, oikeusjärjestelmän, poliittisten puolueiden sekä eri heimojen, uskonnollisten ja etnisten ryhmien välillä. Tutkimus tarkastelee myös sitä miten nämä tekijät vaikuttavat demokratian kehitykseen Pakistanissa. Keskeinen argumentti on, että länsimainen demokratia ei esiinny eikä toimi Pakistanissa vallitsevissa oloissa, etenkin historiallisen kehityksen ja ulkoisen turvallisuuden takia. Pro gradu-tutkielma käyttää sekundäärisiä lähteitä, kuten kirjoja, artikkeleita, maaraportteja, kommentaareja sekä omiin kokemuksiin perustuvia havaintoja Pakistanin matkalta 2010-2011. Keskeiset teoriat gradussa ovat Guillermo O’ Donnelin delegaattidemokratia sekä Duncan McCargon eliittihallintoteoria, jotka yhdessä selittävät historiallista kehitystä ja eliittihallinnon dynamiikkaa, mitkä johtavat paradoksiin. Kautta historian armeija on hallinnut Pakistania, ja siviilihallinto on ainoastaan neljä kertaa onnistunut olemaan vallassa, mutta silloinkin siviilihallinto päättyi korruptioväitteisiin tai armeijan vallankaappaukseen. Armeijahallinnoille on luonteenomaista hyvät suhteet USA:n, positiivinen taloudellinen kehitys ja vakaus, kun taas siviilihallinnot ovat epävakaita ja korruptoituneita. Tämä kehitys on paradoksin tausta, joka rakentuu turvallisuuspoliittisen tilanteen pohjalle eli hallitusten ja muiden tekijöiden yritykseen löytää vastapaino Intian uhalle. Tämä on ollut keskeinen huoli kelle tahansa poliittiselle päättäjälle itsenäisyydestä lähtien. Loputon valtataistelu eri poliittisten tekijöiden kesken sekä eliittihallinto pitävät yllä paradoksia, koska eliitit ovat kiinnostuneempia oman valtansa säilyttämisestä kuin kansan tahdon huomioonottamisesta. Koska valtaosa ihmisistä ei ole koulutettuja, he ovat paljolti kiinnostuneita omasta selviytymisestään, ja tämän takia sekä kansa että eliitit suosivat armeijahallintoa, koska se tuo vakautta ja taloudellista kehitystä. Sen vuoksi vallitsevissa oloissa demokratian tulevaisuus Pakistanissa näyttää huonolta, koska liberaalidemokratian vaatimukset eivät täyty puoliksi vapaan oikeussysteemin, puoliksi vapaan lehdistön, valtavan korruption ja monien ihmisoikeusloukkauksien takia unohtamatta armeijan ja tiedustelupalvelun sekaantumista siviilihallintoon.

An Analysis of the Concept of Citizenship: Legal, Political and Social Dimensions

The thesis aims at analyzing concept of citizenship in political philosophy. The concept of citizenship is a complex one: it does not have a definitive explication, but it nevertheless is a very important category in contemporary world. Citizenship is a powerful ideal, and often the way a person is treated depends on whether he or she has the status of a citizen. Citizenship includes protection of a person’s rights both at home and abroad. It entails legal, political and social dimension: the legal status as a full member of society, the recognition of that status by fellow citizens and acting as a member of society. The thesis discusses these three dimensions. Its objective is to show how all of them, despite being insufficient in some aspects, reach something important about the concept. The main sources of the thesis are Civic Republicanism by Iseult Honohan (Routledge 2002), Republicanism by Philip Pettit (Clarendon Press 1997), and Taking Rights Seriously by Ronald Dworkin (1997). In addition, the historical part of the thesis relies mainly on the works of Aristotle, Immanuel Kant, Adam Smith, Quentin Skinner, James Pocock and James Tully. The writings of Will Kymlicka, John Rawls, Chantal Mouffe, and Shane Phelan are referred to in the presentation and critique of the liberal tradition of thought. Hannah Arendt and Seyla Benhabib’s analysis of Arendt’s philosophy both address the problematic relations between human rights and nation-states as the main guarantors of rights. The chapter on group rights relies on Peter Jones’ account of corporate and collective rights, after which I continue to Seumas Miller’s essay on the (liberal) account of group rights and their relation to the concept of citizenship. Republicanism and Political Theory (2002) edited by Cécile Laborde and John Maynor is also references. David Miller and Maurizio Viroli represent the more “rooted” version of republicanism. The thesis argues that the full concept of citizenship should be seen as containing legal, political and social dimensions. The concept can be viewed from all of these three angles. The first means that citizenship is connected with certain rights, like the right to vote or stand for election, the right to property and so on. In most societies, the law guarantees these rights to every citizen. Then there is also the social dimension, which can be said to be as important as the legal one: the recognition of equality and identities of others. Finally, there is the political dimension, meaning the importance of citizens’ participation in the society, which is discussed in connection with the contemporary account of republicanism. All these issues are discussed from the point of view of groups demanding for group-specific rights and equal recognition. The challenge with these three aspects of citizenship is, however, that they are difficult to discuss under one heading. Different theories or discourses of citizenship each approach the subject from different starting points, which make reconciling them sometimes hard. The fundamental questions theories try to answer may differ radically depending on the theory. Nevertheless, in order to get the whole image of what the citizenship discourses are about all the aspects deserve to be taken into account.

Instability and dewetting of ultrathin solid viscoelastic films on homogeneous and heterogeneous substrates

Instability and dewetting engendered by the van der Waals force in soft thin (<100 nm) linear viscoelastic solid (e. g., elastomeric gel) films on uniform and patterned surfaces are explored. Linear stability analysis shows that, although the elasticity of the film controls the onset of instability and the corresponding critical wavelength, the dominant length-scale remains invariant with the elastic modulus of the film. The unstable modes are found to be long-wave, for which a nonlinear long-wave analysis and simulations are performed to uncover the dynamics and morphology of dewetting. The stored elastic energy slows down the temporal growth of instability significantly. The simulations also show that a thermodynamically stable film with zero-frequency elasticity can be made unstable in the presence of physico-chemical defects on the substrate and can follow an entirely different pathway with far fewer holes as compared to the viscous films. Further, the elastic restoring force can retard the growth of a depression adjacent to the hole-rim and thus suppress the formation of satellite holes bordering the primary holes. These findings are in contrast to the dewetting of viscoelastic liquid films where nonzero frequency elasticity accelerates the film rupture and promotes the secondary instabilities. Thus, the zero-frequency elasticity can play a major role in imposing a better-defined long-range order to the dewetted structures by arresting the secondary instabilities. (C) 2011 American Institute of Physics. doi: 10.1063/1.3554748]

Dynamic analysis of voltage instability in AC-DC systems

This paper presents the analysis and study of voltage collapse at any converter bus in A C-DC systems considering the dynamics of DC system. The problem of voltage instability is acute when HVDC links are connected to weak AC systems, the strength determined by short circuit ratio (SCR) at the converter bus. The converter control strategies are important in determining voltage instability. Small signal analysis is used to identify critical modes and evaluate the effect of AC system strength and control parameters. A sample two-terminal DC system is studied and the results compared with those obtained from static analysis. Also, the results obtained from small signal analysis are validated with nonlinear simulation.

Optimization of cold and warm workability in 304 stainless steel using instability maps

The deformation characteristics of stainless steel type AISI 3O4 under compression in the temperature range 20 degrees C to 600 degrees C and strain-rate range 0.001 to 100 s(-1) have been studied with a view to characterizing the flow instabilities occurring in the microstructure. At strain rates less than 5 s(-1), 304 stainless steel exhibits flow localization, whereas dynamic strain aging occurs at intermediate temperatures and below 0.5 s(-1). At room temperatures and strain rates less than 10 s(-1), martensite formation is observed. To avoid the preceding microstructural instabilities, cold and warm working should be carried out at strain rates greater than 5 s(-1). The continuum criterion, developed on the basis of the principles of maximum rate of entropy production and separability of the dissipation function, predicts accurately all the preceding instability features.

Optimization of cold and warm workability in stainless steel type AISI 316L using instability maps

The deformation characteristics of stainless steel type AISI 316L under compression in the temperature range 20 to 600 degrees C and strain rate range 0.001 to 100 s(-1) have been studied with a view to characterizing the flow instabilities occurring in the microstructure. At temperatures lower than 100 degrees C and strain rates higher than 0.1 s(-1), 316L stainless steel exhibits flow localization whereas dynamic strain aging (DSA) occurs at intermediate temperatures and below 1 s(-1). To avoid the above flow instabilities, cold working should be carried out at strain rates less than 0.1 s(-1). Warm working of stainless steel type AISI 316L may be done in the temperature and strain rate regime of: 300 to 400 degrees C and 0.001 s(-1) 300 to 450 degrees C and 0.01 s(-1): 450 to 600 degrees C and 0.1 s(-1); 500 degrees C and 1 s(-1) since these regions are free from flow instabilities like DSA and flow localization. The continuum criterion, developed on the basis of the principles of maximum rate of entropy production and separability of the dissipation function, predicts accurately all the above instability features.

Instability, intermittency, and multiscaling in discrete growth models of kinetic roughening

We show by numerical simulations that discretized versions of commonly studied continuum nonlinear growth equations (such as the Kardar-Parisi-Zhangequation and the Lai-Das Sarma-Villain equation) and related atomistic models of epitaxial growth have a generic instability in which isolated pillars (or grooves) on an otherwise flat interface grow in time when their height (or depth) exceeds a critical value. Depending on the details of the model, the instability found in the discretized version may or may not be present in the truly continuum growth equation, indicating that the behavior of discretized nonlinear growth equations may be very different from that of their continuum counterparts. This instability can be controlled either by the introduction of higher-order nonlinear terms with appropriate coefficients or by restricting the growth of pillars (or grooves) by other means. A number of such ''controlled instability'' models are studied by simulation. For appropriate choice of the parameters used for controlling the instability, these models exhibit intermittent behavior, characterized by multiexponent scaling of height fluctuations, over the time interval during which the instability is active. The behavior found in this regime is very similar to the ''turbulent'' behavior observed in recent simulations of several one- and two-dimensional atomistic models of epitaxial growth.

Instability map for cold and warm working of as-cast 304 stainless steel

The deformation characteristics of as-cast 304 stainless steel under compression in the temperature range 20-600 degrees C and strain rate range 0.001-100 s(-1) have been studied with a view to characterizing the flow instabilities occurring in the microstructure. Ar strain rates of less than 0.05 s(-1), as-cast 304 stainless steel exhibits flow localization in the temperature range 20-600 degrees C, whereas dynamic strain ageing occurs at intermediate temperatures and below 5 s(-1). At room temperatures and strain rates of less than 0.05 s(-1), martensite formation is observed. To avoid the above microstructural instabilities warm working should be carried out at strain rates greater than 10 s(-1) in the temperature range 400-600 degrees C and cold working could be done in the range of about 0.05-0.8 s(-1). The continuum criterion developed on the basis of the principles of maximum rate of entropy production and separability of the dissipation function, predicts accurately all of the above instability features. (C) 1997 Elsevier Science S.A.

Structural instability of the charge ordered compound Nd0.5Sr0.5MnO3 under a magnetic field

We report an anomalous magnetostriction behavior of the charge ordered compound Nd0.5Sr0.5MnO3. We have found that the applied magnetic field not only gives rise to a large negative magnetoresistance but also produces a huge positive magnetovolume effect. This unusual effect is explained considering that the applied magnetic field induces a structural transition at which the volume drastically increases. This effect is also seen in the anisotropic magnetostriction which shows clear anomalies at the field induced transition.

Phase diagram of a two-species lattice model with a linear instability

We discuss the properties of a one-dimensional lattice model of a driven system with two species of particles in which the mobility of one species depends on the density of the other. This model was introduced by Lahiri and Ramaswamy (Phys. Rev. Lett., 79, 1150 (1997)) in the context of sedimenting colloidal crystals, and its continuum version was shown to exhibit an instability arising from linear gradient couplings. In this paper we review recent progress in understanding the full phase diagram of the model. There are three phases. In the first, the steady state can be determined exactly along a representative locus using the condition of detailed balance. The system shows phase separation of an exceptionally robust sort, termed strong phase separation, which survives at all temperatures. The second phase arises in the threshold case where the first species evolves independently of the second, but the fluctuations of the first influence the evolution of the second, as in the passive scalar problem. The second species then shows phase separation of a delicate sort, in which long-range order coexists with fluctuations which do not damp down in the large-size limit. This fluctuation-dominated phase ordering is associated with power law decays in cluster size distributions and a breakdown of the Porod law. The third phase is one with a uniform overall density, and along a representative locus the steady state is shown to have product measure form. Density fluctuations are transported by two kinematic waves, each involving both species and coupled at the nonlinear level. Their dissipation properties are governed by the symmetries of these couplings, which depend on the overall densities. In the most interesting case,, the dissipation of the two modes is characterized by different critical exponents, despite the nonlinear coupling.

Thermal instability in a three-dimensional rigid container with prescribed heat flux at lower boundary

The Bénard–Marangoni convection is studied in a three-dimensional container with thermally insulated lateral walls and prescribed heat flux at lower boundary. The upper surface of the incompressible, viscous fluid is assumed to be flat with temperature dependent surface tension. A Galerkin–Tau method with odd and even trial functions satisfying all the essential boundary conditions except the natural boundary conditions at the free surface has been used to solve the problem. The critical Marangoni and Rayleigh numbers are determined for the onset of steady convection as a function of aspect ratios x0 and y0 for the cases of Bénard–Marangoni, pure Marangoni and pure Bénard convections. It is observed that critical parameters are decreasing with an increase in aspect ratios. The flow structures corresponding to the values of the critical parameters are presented in all the cases. It is observed that the critical parameters are higher for case with heat flux prescribed than those corresponding to the case with prescribed temperature. The critical Marangoni number for pure Marangoni convection is higher than critical Rayleigh number corresponding to pure Bénard convection for a given aspect ratio whereas the reverse was observed for two-dimensional infinite layer.