The Wiener criterion for the Laplacian and the heat operator

La tesi presenta il criterio di regolarità di Wiener dell’ambito classico dell’operatore di Laplace ed in seguito alcune nozioni di teoria del potenziale e la dimostrazione del criterio nel caso dell’operatore del calore; in questa seconda sezione viene dedicata particolare attenzione alle formule di media e ad una diseguaglianza forte di Harnack, che risultano fondamentali nella trattazione dell’argomento centrale.

The flammability of metallic materials in normal and reduced gravity

Metallic materials exposed to oxygen-enriched atmospheres – as commonly used in the medical, aerospace, aviation and numerous chemical processing industries – represent a significant fire hazard which must be addressed during design, maintenance and operation. Hence, accurate knowledge of metallic materials flammability is required. Reduced gravity (i.e. space-based) operations present additional unique concerns, where the absence of gravity must also be taken into account. The flammability of metallic materials has historically been quantified using three standardised test methods developed by NASA, ASTM and ISO. These tests typically involve the forceful (promoted) ignition of a test sample (typically a 3.2 mm diameter cylindrical rod) in pressurised oxygen. A test sample is defined as flammable when it undergoes burning that is independent of the ignition process utilised. In the standardised tests, this is indicated by the propagation of burning further than a defined amount, or „burn criterion.. The burn criterion in use at the onset of this project was arbitrarily selected, and did not accurately reflect the length a sample must burn in order to be burning independent of the ignition event and, in some cases, required complete consumption of the test sample for a metallic material to be considered flammable. It has been demonstrated that a) a metallic material.s propensity to support burning is altered by any increase in test sample temperature greater than ~250-300 oC and b) promoted ignition causes an increase in temperature of the test sample in the region closest to the igniter, a region referred to as the Heat Affected Zone (HAZ). If a test sample continues to burn past the HAZ (where the HAZ is defined as the region of the test sample above the igniter that undergoes an increase in temperature of greater than or equal to 250 oC by the end of the ignition event), it is burning independent of the igniter, and should be considered flammable. The extent of the HAZ, therefore, can be used to justify the selection of the burn criterion. A two dimensional mathematical model was developed in order to predict the extent of the HAZ created in a standard test sample by a typical igniter. The model was validated against previous theoretical and experimental work performed in collaboration with NASA, and then used to predict the extent of the HAZ for different metallic materials in several configurations. The extent of HAZ predicted varied significantly, ranging from ~2-27 mm depending on the test sample thermal properties and test conditions (i.e. pressure). The magnitude of the HAZ was found to increase with increasing thermal diffusivity, and decreasing pressure (due to slower ignition times). Based upon the findings of this work, a new burn criterion requiring 30 mm of the test sample to be consumed (from the top of the ignition promoter) was recommended and validated. This new burn criterion was subsequently included in the latest revision of the ASTM G124 and NASA 6001B international test standards that are used to evaluate metallic material flammability in oxygen. These revisions also have the added benefit of enabling the conduct of reduced gravity metallic material flammability testing in strict accordance with the ASTM G124 standard, allowing measurement and comparison of the relative flammability (i.e. Lowest Burn Pressure (LBP), Highest No-Burn Pressure (HNBP) and average Regression Rate of the Melting Interface(RRMI)) of metallic materials in normal and reduced gravity, as well as determination of the applicability of normal gravity test results to reduced gravity use environments. This is important, as currently most space-based applications will typically use normal gravity information in order to qualify systems and/or components for reduced gravity use. This is shown here to be non-conservative for metallic materials which are more flammable in reduced gravity. The flammability of two metallic materials, Inconel® 718 and 316 stainless steel (both commonly used to manufacture components for oxygen service in both terrestrial and space-based systems) was evaluated in normal and reduced gravity using the new ASTM G124-10 test standard. This allowed direct comparison of the flammability of the two metallic materials in normal gravity and reduced gravity respectively. The results of this work clearly show, for the first time, that metallic materials are more flammable in reduced gravity than in normal gravity when testing is conducted as described in the ASTM G124-10 test standard. This was shown to be the case in terms of both higher regression rates (i.e. faster consumption of the test sample – fuel), and burning at lower pressures in reduced gravity. Specifically, it was found that the LBP for 3.2 mm diameter Inconel® 718 and 316 stainless steel test samples decreased by 50% from 3.45 MPa (500 psia) in normal gravity to 1.72 MPa (250 psia) in reduced gravity for the Inconel® 718, and 25% from 3.45 MPa (500 psia) in normal gravity to 2.76 MPa (400 psia) in reduced gravity for the 316 stainless steel. The average RRMI increased by factors of 2.2 (27.2 mm/s in 2.24 MPa (325 psia) oxygen in reduced gravity compared to 12.8 mm/s in 4.48 MPa (650 psia) oxygen in normal gravity) for the Inconel® 718 and 1.6 (15.0 mm/s in 2.76 MPa (400 psia) oxygen in reduced gravity compared to 9.5 mm/s in 5.17 MPa (750 psia) oxygen in normal gravity) for the 316 stainless steel. Reasons for the increased flammability of metallic materials in reduced gravity compared to normal gravity are discussed, based upon the observations made during reduced gravity testing and previous work. Finally, the implications (for fire safety and engineering applications) of these results are presented and discussed, in particular, examining methods for mitigating the risk of a fire in reduced gravity.

The Double Pareto-Lognormal Distribution and its applications in actuarial science and finance

Le but de ce mémoire de maîtrise est de décrire les propriétés de la loi double Pareto-lognormale, de montrer comment on peut introduire des variables explicatives dans le modèle et de présenter son large potentiel d'applications dans le domaine de la science actuarielle et de la finance. Tout d'abord, nous donnons la définition de la loi double Pareto-lognormale et présentons certaines de ses propriétés basées sur les travaux de Reed et Jorgensen (2004). Les paramètres peuvent être estimés en utilisant la méthode des moments ou le maximum de vraisemblance. Ensuite, nous ajoutons une variable explicative à notre modèle. La procédure d'estimation des paramètres de ce mo-\\dèle est également discutée. Troisièmement, des applications numériques de notre modèle sont illustrées et quelques tests statistiques utiles sont effectués.

MATH2038 Notes, Lectures and handouts

The MATH2038 (Partial Differential Equations) course, as given in semester 2 2008/9. Syllabus has changed slightly from previous years, as has coursework weighting.

Bestimmung thermischer Untergrundparameter in Erdwärmesondenfeldern und Evaluierung tiefenaufgelöster Thermal-Response-Tests durch thermohydraulische Modellierungen

Die oberflächennahe Geothermie leistet im Bereich der Nutzung regenerativer Wärme einen wichtigen Beitrag zum Klima- und Umweltschutz. Um die technische Nutzung oberflächennaher Geothermie zu optimieren, ist die Kenntnis der Beschaffenheit des geologischen Untergrundes ausschlaggebend. Die vorliegende Dissertation befasst sich mit der Bestimmung verschiedener Untergrundparameter an einem Erdwärmesondenfeld. Es wurden Untersuchungen zur Bestimmung der Wärmeleitfähigkeit wie der enhanced Thermal Response Test (eTRT), sowie eine Untergrund-Temperaturüberwachung im ersten Betriebsjahr durchgeführt. Die Überwachung zeigte keine gegenseitige Beeinflussung einzelner Sonden. Ein Vergleich zwischen dem geplanten und dem tatsächlichem Wärmebedarf des ersten Betriebsjahres ergab eine Abweichung von ca. 35%. Dies zeigt, dass die Nutzungsparameter der Anlage deren Effizienz maßgeblich beeinflussen können. Der am Beispielobjekt praktisch durchgeführte eTRT wurde mittels numerischer Modellierung auf seine Reproduzierbarkeit hin überprüft. Bei einem rein konduktiven Wärmetransport im Untergrund betrug die maximale Abweichung der Messung selbst unter ungünstigen Bedingungen lediglich ca. 6% vom zu erwartenden Wert. Die Detektion von grundwasserdurchflossenen Schichten ist in den Modellen ebenfalls gut abbildbar. Problematisch bleibt die hohe Abhängigkeit des Tests von einer konstanten Wärmezufuhr. Lediglich die Bestimmung der Wärmeleitfähigkeit über das Relaxationsverhalten des Untergrundes liefert bei Wärmeeintragsschwankungen hinreichend genaue Ergebnisse. Die mathematische Nachbearbeitung von fehlerhaften Temperaturkurven bietet einen Einstiegspunkt für weiterführende Forschung.

Hsp110 chaperones control client fate determination in the hsp70-Hsp90 chaperone system.

Heat shock protein 70 (Hsp70) plays a central role in protein homeostasis and quality control in conjunction with other chaperone machines, including Hsp90. The Hsp110 chaperone Sse1 promotes Hsp90 activity in yeast, and functions as a nucleotide exchange factor (NEF) for cytosolic Hsp70, but the precise roles Sse1 plays in client maturation through the Hsp70-Hsp90 chaperone system are not fully understood. We find that upon pharmacological inhibition of Hsp90, a model protein kinase, Ste11DeltaN, is rapidly degraded, whereas heterologously expressed glucocorticoid receptor (GR) remains stable. Hsp70 binding and nucleotide exchange by Sse1 was required for GR maturation and signaling through endogenous Ste11, as well as to promote Ste11DeltaN degradation. Overexpression of another functional NEF partially compensated for loss of Sse1, whereas the paralog Sse2 fully restored GR maturation and Ste11DeltaN degradation. Sse1 was required for ubiquitinylation of Ste11DeltaN upon Hsp90 inhibition, providing a mechanistic explanation for its role in substrate degradation. Sse1/2 copurified with Hsp70 and other proteins comprising the "early-stage" Hsp90 complex, and was absent from "late-stage" Hsp90 complexes characterized by the presence of Sba1/p23. These findings support a model in which Hsp110 chaperones contribute significantly to the decision made by Hsp70 to fold or degrade a client protein.

Influencia de un recubrimiento de vinilo en la tensión de fractura del vidrio en ensayos de anillos concéntricos con gran superficie

El comportamiento post-rotura de los vidrios laminados es uno de los temas que están siendo investigados para explicar la capacidad de carga remanente tras la rotura de la primera lámina. En investigaciones previas se ha observado que en el caso de impacto humano en vidrios recocidos se llega a una capacidad hasta 3 veces superior, sin explicación clara del comportamiento estructural del conjunto. Para realizar un acercamiento a la resistencia a la rotura del vidrio laminado se ha planificado una campaña de ensayos de rotura con anillos concéntricos de grandes superficies en vidrio recocido, termoendurecido y templado, con dos series adicionales de vidrio recocido y termoendurecido con una capa de butiral adherida justo después del proceso de fabricación. Para realizar la comparación de las distribuciones de Weibull de las distintas tensiones de rotura se utiliza un proceso iterativo basado en la distribución real de tensiones obtenida con un modelo de elementos finitos ajustado con datos experimentales. Las comparaciones finales muestran un aumento apreciable de la resistencia (45%) en el caso de vidrios recocidos, y menor en el de los termoendurecidos (25%).The post-fracture behavior of the laminated glasses is one of the research topics that are being studied to explain the load capacity after the break of the first sheet. Previous experimental work have shown, that in case of human impact in annealed glasses, the capacity of bearing load it can be up to 3 times higher without clear explanation of the structural behavior of the plate. To make an approximation to the post-fracture resistance, a experimental program to test annealed, heat-tempered and toughened glass plates has been prepared. Two additional series of annealed and heattempered, with a layer of polyvinyl butyral adhered just after the manufacturing process, have also been incorporated. Coaxial Double Ring with large test surface areas Coaxial Double Ring with large test surface areas is the standard that has been followed. To make the comparison of Weibull's distributions of the different fracture stress, an iterative process based on the actual stress distribution obtained with a finite elements model updated with experimental results has been used. Final comparisons show a great stress improvement for the annealed glass plates (45 %), and a minor increment for the heat-tempered (25 %).

Heat effects of promoters and determination of burn criterion in promoted combustion testing

Promoted ignition testing (NASA) Test 17) [1] is used to determine the relative flammability of metal rods in oxygen-enriched atmospheres. A promotor is used to ignite a metal sample rod, initiating sample burning. If a predetermined length of the sample burns, beyond the promotor, the material is considered flammable at the condition tested. Historically, this burn length has been somewhat arbitrary. Experiments were performed to better understand this test by obtaining insight into the effect a burning promotor has on the preheating of a test sample. Test samples of several metallic materials were prepared and coupled to fast-responding thermocouples along their length. Thermocouple measurements and test video were synchronized to determine temperature increase with respect to time and length along each test sample. A recommended flammability burn length, based on a sample preheat of 500 degrees fahrenheit, was determined based on the preheated zone measured from these tests. This length was determined to be 30 mm (1.18 in.). Validation of this length and its rationale are presented.

Determination of burn criterion for promoted combustion testing

Promoted ignition testing [1–3] is used to determine the relative flammability of metal rods in oxygen-enriched atmospheres. In these tests, a promoter is used to ignite each metal rod to start the sample burning. Experiments were performed to better understand the promoted ignition test by obtaining insight into the effect a burning promoter has on the preheating of a test sample. Test samples of several metallic materials were prepared and coupled to fast-responding thermocouples along their length. Various ignition promoters were used to ignite the test samples. The thermocouple measurements and test video were synchronized to determine temperature increase with respect to time and length along each test sample. A recommended length of test sample that must be consumed to be considered a flammable material was determined based on the preheated zone measured from these tests. This length was determined to be 30 mm (1.18 in.). Validation of this length and its rationale are presented.

Reliability and criterion-related validity with a smartphone used in timed-up-and-go test

Background The capacity to diagnosys, quantify and evaluate movement beyond the general confines of a clinical environment under effectiveness conditions may alleviate rampant strain on limited, expensive and highly specialized medical resources. An iPhone 4® mounted a three dimensional accelerometer subsystem with highly robust software applications. The present study aimed to evaluate the reliability and concurrent criterion-related validity of the accelerations with an iPhone 4® in an Extended Timed Get Up and Go test. Extended Timed Get Up and Go is a clinical test with that the patient get up from the chair and walking ten meters, turn and coming back to the chair. Methods A repeated measure, cross-sectional, analytical study. Test-retest reliability of the kinematic measurements of the iPhone 4® compared with a standard validated laboratory device. We calculated the Coefficient of Multiple Correlation between the two sensors acceleration signal of each subject, in each sub-stage, in each of the three Extended Timed Get Up and Go test trials. To investigate statistical agreement between the two sensors we used the Bland-Altman method. Results With respect to the analysis of the correlation data in the present work, the Coefficient of Multiple Correlation of the five subjects in their triplicated trials were as follows: in sub-phase Sit to Stand the ranged between r = 0.991 to 0.842; in Gait Go, r = 0.967 to 0.852; in Turn, 0.979 to 0.798; in Gait Come, 0.964 to 0.887; and in Turn to Stand to Sit, 0.992 to 0.877. All the correlations between the sensors were significant (p < 0.001). The Bland-Altman plots obtained showed a solid tendency to stay at close to zero, especially on the y and x-axes, during the five phases of the Extended Timed Get Up and Go test. Conclusions The inertial sensor mounted in the iPhone 4® is sufficiently reliable and accurate to evaluate and identify the kinematic patterns in an Extended Timed Get and Go test. While analysis and interpretation of 3D kinematics data continue to be dauntingly complex, the iPhone 4® makes the task of acquiring the data relatively inexpensive and easy to use.

Test-day milk yield as a selection criterion for dairy buffaloes (Bubalus bubalis Artiodactyla, Bovidae)

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

A New Criterion for the Metallicity of Elements

A vast majority of elements are metallic in the liquid state. The latent heat of vapourization, ΔHv, of such elements is greater than the critical value of not, vert, similar 42 kJ mol−1 (0.44 eV mol−) which demarcates metals from non-metals. It is shown that ΔHv can be related to the Fermi energy as well as to the Herzfeld criterion involving atomic polarizability.

An optimum criterion for eccentrically loaded R. C. columns

An analysis of eccentrically loaded short reinforced concrete columns using a variable failure strain criterion is presented. The method dispenses with the usual procedure of assuming a fixed value for the ultimate strain in concrete. The analysis is based on the use of a simple, single equation for the complete stress-strain curve of concrete and the adoption of a process of maximisation of moment with respect to extreme fibre concrete compressive strain. Columns of rectangular section and loaded eccentrically along one axis only are considered in this paper. A good agreement is observed between the theoretical and experimental values of some test results.

Additional response: Additional discussion of “Mixed mode ductile fracture using the strain energy density criterion”

boundary-layer flows, the skin friction and wall heat-transfer are higher and the