Radial sign-changing solutions to biharmonic nonlinear Schrodinger equations

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Boa colocação da equação do calor semilinear em L^p-fraco

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Boa colocação da equação do calor semilinear em L^p-fraco

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Relationship Between Oral Health-Related Quality of Life and the Position of the Lower Third Molar: Postoperative Follow-Up

Purpose: The aim of this study was to verify possible associations between oral health-related quality of life (QoL) and the position of the lower third molar among patients undergoing lower third molar surgery during the first postoperative week. Materials and Methods: We performed an interventional prospective study of 86 patients for whom the preoperative treatment plan included the removal of 2 third molar teeth from the same side in a 1-time procedure. The patients were divided into 2 groups depending on the position of the lower third molar. QoL was evaluated before and after the surgical procedure (during the first 7 days) with the Oral Health Impact Profile (OHIP) 14 questionnaire. Data were treated according to Stata 10.0 (StataCorp, College Station, TX). Variables were evaluated by use of split-plot analysis of variance for the repeated-measures analysis to identify the association between QoL and the position of the lower third molar. Results: Patients can have deterioration in their QoL immediately after surgery, especially during the first and second postoperative days, and subsequently show rapid improvement. The variation in the total OHIP score during the days after surgery was significant, whereas a decrease in QoL was observed immediately after the procedure (P = .001), which returned to initial value (preoperative) levels after the sixth postoperative day. The OHIP domains with higher scores (ie, those that had an impact) were physical pain, psychological discomfort, and physical disability (domains 2, 3, and 4, respectively). Conclusions: Teeth considered to be associated with technical difficulties for extraction based on their position had a higher score on the OHIP-14 questionnaire and worse health-related QoL score. QoL outcomes may be as important as clinical signs in decisions regarding third molar extractions. (C) 2012 American Association of Oral and Maxillofacial Surgeons J Oral Maxillofac Surg 70:779-786, 2012

A nonlinear elliptic problem with terms concentrating in the boundary

In this paper, we investigate the behavior of a family of steady-state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a e-neighborhood of a portion G of the boundary. We assume that this e-neighborhood shrinks to G as the small parameter e goes to zero. Also, we suppose the upper boundary of this e-strip presents a highly oscillatory behavior. Our main goal here was to show that this family of solutions converges to the solutions of a limit problem, a nonlinear elliptic equation that captures the oscillatory behavior. Indeed, the reaction term and concentrating potential are transformed into a flux condition and a potential on G, which depends on the oscillating neighborhood. Copyright (C) 2012 John Wiley & Sons, Ltd.

A transmission problem for beams on nonlinear supports

A transmission problem involving two Euler-Bernoulli equations modeling the vibrations of a composite beam is studied. Assuming that the beam is clamped at one extremity, and resting on an elastic bearing at the other extremity, the existence of a unique global solution and decay rates of the energy are obtained by adding just one damping device at the end containing the bearing mechanism.

Finite element methods for the Stokes system based on a Zienkiewicz type N-simplex

Hermite interpolation is increasingly showing to be a powerful numerical solution tool, as applied to different kinds of second order boundary value problems. In this work we present two Hermite finite element methods to solve viscous incompressible flows problems, in both two- and three-dimension space. In the two-dimensional case we use the Zienkiewicz triangle to represent the velocity field, and in the three-dimensional case an extension of this element to tetrahedra, still called a Zienkiewicz element. Taking as a model the Stokes system, the pressure is approximated with continuous functions, either piecewise linear or piecewise quadratic, according to the version of the Zienkiewicz element in use, that is, with either incomplete or complete cubics. The methods employ both the standard Galerkin or the Petrov–Galerkin formulation first proposed in Hughes et al. (1986) [18], based on the addition of a balance of force term. A priori error analyses point to optimal convergence rates for the PG approach, and for the Galerkin formulation too, at least in some particular cases. From the point of view of both accuracy and the global number of degrees of freedom, the new methods are shown to have a favorable cost-benefit ratio, as compared to velocity Lagrange finite elements of the same order, especially if the Galerkin approach is employed.

Establishment of a novel intervertebral disc/endplate culture model: analysis of an ex vivo in vitro whole-organ rabbit culture system

STUDY DESIGN: Ex vivo in vitro study evaluating a novel intervertebral disc/endplate culture system. OBJECTIVES: To establish a whole-organ intervertebral disc culture model for the study of disc degeneration in vitro, including the characterization of basic cell and organ function. SUMMARY OF BACKGROUND DATA: With current in vivo models for the study of disc and endplate degeneration, it remains difficult to investigate the complex disc metabolism and signaling cascades. In contrast, more controlled but simplified in vitro systems using isolated cells or disc fragments are difficult to culture due to the unconstrained conditions, with often-observed cell death or cell dedifferentiation. Therefore, there is a demand for a controlled culture model with preserved cell function that offers the possibility to investigate disc and endplate pathologies in a structurally intact organ. METHODS: Naturally constrained intervertebral disc/endplate units from rabbits were cultured in multi-well plates. Cell viability, metabolic activity, matrix composition, and matrix gene expression profile were monitored using the Live/Dead cell viability test (Invitrogen, Basel, Switzerland), tetrazolium salt reduction (WST-8), proteoglycan and deoxyribonucleic acid quantification assays, and quantitative polymerase chain reaction. RESULTS: Viability and organ integrity were preserved for at least 4 weeks, while proteoglycan and deoxyribonucleic acid content decreased slightly, and matrix genes exhibited a degenerative profile with up-regulation of type I collagen and suppression of collagen type II and aggrecan genes. Additionally, cell metabolic activity was reduced to one third of the initial value. CONCLUSIONS: Naturally constrained intervertebral rabbit discs could be cultured for several weeks without losing cell viability. Structural integrity and matrix composition were retained. However, the organ responded to the artificial environment with a degenerative gene expression pattern and decreased metabolic rate. Therefore, the described system serves as a promising in vitro model to study disc degeneration in a whole organ.

Stability of coagulation assays performed in plasma from citrated whole blood transported at ambient temperature

Many preanalytical variables affect the results of coagulation assays. A possible way to control some of them would be to accept blood specimens shipped in the original collection tube. The aim of our study was to investigate the stability of coagulation assays in citrated whole blood transported at ambient temperature for up to two days after specimen collection. Blood samples from 59 patients who attended our haematology outpatient ward for thrombophilia screening were transported at ambient temperature (outdoor during the day, indoor overnight) for following periods of time: <1 hour, 4-6, 8-12, 24-28 and 48-52 hours prior to centrifugation and plasma-freezing. The following coagulation tests were performed: PT, aPTT, fibrinogen, FII:C, FV:C, FVII:C, FVIII:C, FIX:C, FX:C, FXI:C, VWF:RCo, VWF:Ag, AT, PC activity, total and free PS antigen, modified APC-sensitivity-ratio, thrombin-antithrombin-complex and D-dimer. Clinically significant changes, defined as a percentage change of more than 10% from the initial value, were observed for FV:C, FVIII:C and total PS antigen starting at 24-28 hours, and for PT, aPTT and FVII:C at 48-52 hours. No statistically significant differences were seen for fibrinogen, antithrombin, or thrombin-antithrombin complexes (Friedman repeated measures analysis of variance). The present data suggest that the use of whole blood samples transported at ambient temperature may be an acceptable means of delivering specimens for coagulation analysis. With the exception of factor V and VIII coagulant activity, and total PS antigen all investigated parameters can be measured 24-28 hours after specimen collection without observing clinically relevant changes.

Short-arc tracklet association for geostationary objects

Measurement association and initial orbit determination is a fundamental task when building up a database of space objects. This paper proposes an efficient and robust method to determine the orbit using the available information of two tracklets, i.e. their line-of-sights and their derivatives. The approach works with a boundary-value formulation to represent hypothesized orbital states and uses an optimization scheme to find the best fitting orbits. The method is assessed and compared to an initial-value formulation using a measurement set taken by the Zimmerwald Small Aperture Robotic Telescope of the Astronomical Institute at the University of Bern. False associations of closely spaced objects on similar orbits cannot be completely eliminated due to the short duration of the measurement arcs. However, the presented approach uses the available information optimally and the overall association performance and robustness is very promising. The boundary-value optimization takes only around 2% of computational time when compared to optimization approaches using an initial-value formulation. The full potential of the method in terms of run-time is additionally illustrated by comparing it to other published association methods.

Increasing the Glutathione Content in a Chilling-Sensitive Maize Genotype Using Safeners Increased Protection against Chilling-Induced Injury

With the aim of analyzing their protective function against chilling-induced injury, the pools of glutathione and its precursors, cysteine (Cys) and gamma -glutamyl-Cys, were increased in the chilling-sensitive maize (Zea mays) inbred line Penjalinan using a combination of two herbicide safeners. Compared with the controls, the greatest increase in the pool size of the three thiols was detected in the shoots and roots when both safeners were applied at a concentration of 5 muM. This combination increased the relative protection from chilling from 50% to 75%. It is interesting that this increase in the total glutathione (TG) level was accompanied by a rise in glutathione reductase (GR; EC 1.6.4.2) activity. When the most effective safener combination was applied simultaneously with increasing concentrations of buthionine sulfoximine, a specific inhibitor of glutathione synthesis, the total gamma -glutamyl-Cys and TG contents and GR activity were decreased to very low levels and relative protection was lowered from 75% to 44%. During chilling, the ratio of reduced to oxidized thiols first decreased independently of the treatments, but increased again to the initial value in safener-treated seedlings after 7 d at 5 degreesC. Taking all results together resulted in a linear relationship between TG and GR and a biphasic relationship between relative protection and GR or TG, thus demonstrating the relevance of the glutathione levels in protecting maize against chilling-induced injury.

Electrical resistivity change in amorphous Ta42Si13N45 films by stress relaxation

In a first experiment, a reactively sputtered amorphous Ta₄₂Si₁₃N₄₅ film about 260 nm thick deposited on a flat and smooth alumina substrate was thermally annealed in air for 30 min and let cooled again repeatedly at successively higher temperatures from 200 to 500 °C. This treatment successively and irreversibly increases the room temperature resistivity of the film monotonically from its initial value of 670 μΩ cm to a maximum of 705 μΩ cm (+5.2 %). Subsequent heat treatments at temperatures below 500 °C and up to 6 h have no further effect on the room temperature resistivity. The new value remains unchanged after 3.8 years of storage at room temperature. In a second experiment, the evolution of the initially compressive stress of a film similarly deposited by reactive sputtering on a 2-inch silicon wafer was measured by tracking the wafer curvature during similar thermal annealing cycles. A similar pattern of irreversible and reversible changes of stress was observed as for the film resistivity. Transmission electron micrographs and secondary ion mass profiles of the film taken before and after thermal annealing in air establish that both the structure and the composition of the film scarcely change during the annealing cycles. We reason that the film stress is implicated in the resistivity change. In particular, to interpret the observations, a model is proposed where the interface between the film and the substrate is mechanically unyielding.

Estudio de la permeabilidad y de la resistencia a tracción en hormigones precomprimidos

Entre los requisitos que deben cumplir las estructuras se debe garantizar que estas posean la durabilidad necesaria para permanecer en servicio a lo largo de todo el periodo de vida útil para el que han sido proyectadas. Para conseguir este objetivo las normativas han ido incorporando prescripciones para el diseño del hormigón, en base a distintas clases de exposición dependiendo del origen y magnitud de la agresividad exterior. En ambientes con una elevada agresividad, una de las comprobaciones que debe cumplir el hormigón es que tenga una permeabilidad inferior a los valores máximos fijados según la clase de exposición, y que en caso de considerar como ensayo de referencia el de penetración de agua, analiza el frente de penetración limitando las profundidades de penetración media y máxima. Adicionalmente a las condiciones de diseño según el tipo de ambiente, principalmente basadas en la dosificación del hormigón en términos de la relación agua/cemento y el mínimo contenido de cemento y el recubrimiento de las armaduras, durante la vida en servicio las estructuras pueden están solicitadas por distintas acciones imprevistas que pueden provocar cambios en la microestructura interna del hormigón que modifican su permeabilidad y resistencia, y por tanto pueden alterar la durabilidad inicialmente prevista. Es conocido el efecto de cansancio del hormigón cuando está solicitado por cargas de compresión mantenidas en el tiempo, provocando bajas en su resistencia debido al incremento de la microfisuración. Dada la relación entre la permeabilidad y la microfisuración del hormigón, es previsible el aumento de la permeabilidad en hormigones que han sido precomprimidos durante un periodo largo de tiempo. Los estudios de la permeabilidad en hormigones previamente comprimidos se han realizado analizando periodos de tiempo de compresión cortos que no permiten evaluar el efecto del cansancio sobre la permeabilidad. La presente tesis doctoral investiga la permeabilidad y resistencia a tracción en hormigones que previamente han sido comprimidos en carga mantenida durante distintos plazos de tiempo, al objeto de conocer su evolución en base al tiempo de precompresión. La investigación se apoya en el estudio de otras dos variables como son el tipo de hormigón de acuerdo a su dosificación según el tipo de ambiente considerando una agresividad baja, media o alta, y el grado de compresión aplicado respecto de su carga última de rotura. En los resultados del plan experimental desarrollado se ha obtenido que la permeabilidad presenta un incremento significante con el tiempo de precompresión, que dependiendo del valor inicial de la permeabilidad que tiene el hormigón puede provocar que hormigones que previamente satisfacen las limitaciones de permeabilidad pasen a incumplirlas, pudiendo afectar a su durabilidad. También se confirma la influencia del tiempo de precompresión sobre la resistencia a tracción obteniendo bajas de resistencia importantes en los casos pésimos ensayados, que deben ser tenidas en consideración en tanto afectan a la capacidad resistente del hormigón como a otros aspectos fundamentales como el anclaje de las armaduras en el hormigón armado y pretensado. One of the requirements that structures must meet is to guarantee their durability to remain in service throughout all the working life period for which they have been designed. To achieve this goal, building standards and codes have included specifications for the design of concrete structures, based on different exposure classes depending on the environmental conditions and their origin and magnitude. In severe aggressive environments, one of the specifications the concrete must meet is to have a permeability lower than the maximum values set for a certain exposure class. If this parameter is referenced to water penetration on specimens, then the average and maximum depths of front penetration are analyzed. In addition to the design conditions depending on the exposure class, which regulate the dosage of concrete in terms of the water/cement ratio, minimum samples that have been pre-compressed for a long period of time. Previous studies on permeability have been carried on pre-compressed concrete elements analyzing short periods of time. However, they have not studied the effects of compression forces on concrete in the long term. This Thesis investigates permeability and tensile strength of concrete samples that have been previously compressed under loads applied for different periods of time. The goal is to understand its evolution based on the time exposed to compression. The research variables also include the type of concrete according to the dosage used - depending on the environmental exposure it will have low, medium or high aggressiveness-, and the amount of compression applied in relation to its failure load. Results of the experimental tests showed that permeability increases significantly over the time of pre-compression. Depending on the initial value of permeability, this change could make the concrete not meet the original permeability restrictions and therefore affect its durability. These investigations also confirmed the influence of time of pre-compression in tensile strength, where some cases showed a significant decrease of resistance. These issues must be taken into consideration as they affect the bearing capacity of the material and other key features such as the anchoring of steel bars in reinforced and pre-stressed concrete. amount of cement content and the minimum concrete cover of the steel bars, during their working life structures may be subject to various unforeseen actions. As a result, the concrete’s internal microstructure might be affected, changing its permeability and resistance, and possibly altering the original specified durability. It is a known fact that when concrete is loaded in compression maintained over a long time, its resistance to compression forces is diminished due to the increase in micro-cracking. Considering the relationship between permeability and microcracking of concrete, an increase in permeability may be expected in concrete

Modelos sin malla en simulación numérica de estructuras aeroespaciales

La presente Tesis Doctoral aborda la introducción de la Partición de Unidad de Bernstein en la forma débil de Galerkin para la resolución de problemas de condiciones de contorno en el ámbito del análisis estructural. La familia de funciones base de Bernstein conforma un sistema generador del espacio de funciones polinómicas que permite construir aproximaciones numéricas para las que no se requiere la existencia de malla: las funciones de forma, de soporte global, dependen únicamente del orden de aproximación elegido y de la parametrización o mapping del dominio, estando las posiciones nodales implícitamente definidas. El desarrollo de la formulación está precedido por una revisión bibliográfica que, con su punto de partida en el Método de Elementos Finitos, recorre las principales técnicas de resolución sin malla de Ecuaciones Diferenciales en Derivadas Parciales, incluyendo los conocidos como Métodos Meshless y los métodos espectrales. En este contexto, en la Tesis se somete la aproximación Bernstein-Galerkin a validación en tests uni y bidimensionales clásicos de la Mecánica Estructural. Se estudian aspectos de la implementación tales como la consistencia, la capacidad de reproducción, la naturaleza no interpolante en la frontera, el planteamiento con refinamiento h-p o el acoplamiento con otras aproximaciones numéricas. Un bloque importante de la investigación se dedica al análisis de estrategias de optimización computacional, especialmente en lo referente a la reducción del tiempo de máquina asociado a la generación y operación con matrices llenas. Finalmente, se realiza aplicación a dos casos de referencia de estructuras aeronáuticas, el análisis de esfuerzos en un angular de material anisotrópico y la evaluación de factores de intensidad de esfuerzos de la Mecánica de Fractura mediante un modelo con Partición de Unidad de Bernstein acoplada a una malla de elementos finitos. ABSTRACT This Doctoral Thesis deals with the introduction of Bernstein Partition of Unity into Galerkin weak form to solve boundary value problems in the field of structural analysis. The family of Bernstein basis functions constitutes a spanning set of the space of polynomial functions that allows the construction of numerical approximations that do not require the presence of a mesh: the shape functions, which are globally-supported, are determined only by the selected approximation order and the parametrization or mapping of the domain, being the nodal positions implicitly defined. The exposition of the formulation is preceded by a revision of bibliography which begins with the review of the Finite Element Method and covers the main techniques to solve Partial Differential Equations without the use of mesh, including the so-called Meshless Methods and the spectral methods. In this context, in the Thesis the Bernstein-Galerkin approximation is subjected to validation in one- and two-dimensional classic benchmarks of Structural Mechanics. Implementation aspects such as consistency, reproduction capability, non-interpolating nature at boundaries, h-p refinement strategy or coupling with other numerical approximations are studied. An important part of the investigation focuses on the analysis and optimization of computational efficiency, mainly regarding the reduction of the CPU cost associated with the generation and handling of full matrices. Finally, application to two reference cases of aeronautic structures is performed: the stress analysis in an anisotropic angle part and the evaluation of stress intensity factors of Fracture Mechanics by means of a coupled Bernstein Partition of Unity - finite element mesh model.

Application of the Boundary Method to the determination of the properties of the beam cross-sections

Using the 3-D equations of linear elasticity and the asylllptotic expansion methods in terms of powers of the beam cross-section area as small parameter different beam theories can be obtained, according to the last term kept in the expansion. If it is used only the first two terms of the asymptotic expansion the classical beam theories can be recovered without resort to any "a priori" additional hypotheses. Moreover, some small corrections and extensions of the classical beam theories can be found and also there exists the possibility to use the asymptotic general beam theory as a basis procedure for a straightforward derivation of the stiffness matrix and the equivalent nodal forces of the beam. In order to obtain the above results a set of functions and constants only dependent on the cross-section of the beam it has to be computed them as solutions of different 2-D laplacian boundary value problems over the beam cross section domain. In this paper two main numerical procedures to solve these boundary value pf'oblems have been discussed, namely the Boundary Element Method (BEM) and the Finite Element Method (FEM). Results for some regular and geometrically simple cross-sections are presented and compared with ones computed analytically. Extensions to other arbitrary cross-sections are illustrated.