The Equation of State and Petrogenesis of Komatiite

(1) Equation of State of Komatiite

The equation of state (EOS) of a molten komatiite (27 wt% MgO) was detennined in the 5 to 36 GPa pressure range via shock wave compression from 1550°C and 0 bar. Shock wave velocity, U_S, and particle velocity, U_P, in km/s follow the linear relationship U_S = 3.13(±0.03) + 1.47(±0.03) U_P. Based on a calculated density at 1550°C, 0 bar of 2.745±0.005 glee, this U_S-U_P relationship gives the isentropic bulk modulus K_S = 27.0 ± 0.6 GPa, and its first and second isentropic pressure derivatives, K'_S = 4.9 ± 0.1 and K"_S = -0.109 ± 0.003 GPa^-1.

The calculated liquidus compression curve agrees within error with the static compression results of Agee and Walker [1988a] to 6 GPa. We detennine that olivine (FO₉₄) will be neutrally buoyant in komatiitic melt of the composition we studied near 8.2 GPa. Clinopyroxene would also be neutrally buoyant near this pressure. Liquidus garnet-majorite may be less dense than this komatiitic liquid in the 20-24 GPa interval, however pyropic-garnet and perovskite phases are denser than this komatiitic liquid in their respective liquidus pressure intervals to 36 GPa. Liquidus perovskite may be neutrally buoyant near 70 GPa.

At 40 GPa, the density of shock-compressed molten komatiite would be approximately equal to the calculated density of an equivalent mixture of dense solid oxide components. This observation supports the model of Rigden et al. [1989] for compressibilities of liquid oxide components. Using their theoretical EOS for liquid forsterite and fayalite, we calculate the densities of a spectrum of melts from basaltic through peridotitic that are related to the experimentally studied komatiitic liquid by addition or subtraction of olivine. At low pressure, olivine fractionation lowers the density of basic magmas, but above 14 GPa this trend is reversed. All of these basic to ultrabasic liquids are predicted to have similar densities at 14 GPa, and this density is approximately equal to the bulk (PREM) mantle. This suggests that melts derived from a peridotitic mantle may be inhibited from ascending from depths greater than 400 km.

The EOS of ultrabasic magmas was used to model adiabatic melting in a peridotitic mantle. If komatiites are formed by >15% partial melting of a peridotitic mantle, then komatiites generated by adiabatic melting come from source regions in the lower transition zone (≈500-670 km) or the lower mantle (>670 km). The great depth of incipient melting implied by this model, and the melt density constraint mentioned above, suggest that komatiitic volcanism may be gravitationally hindered. Although komatiitic magmas are thought to separate from their coexisting crystals at a temperature =200°C greater than that for modern MORBs, their ultimate sources are predicted to be diapirs that, if adiabatically decompressed from initially solid mantle, were more than 700°C hotter than the sources of MORBs and derived from great depth.

We considered the evolution of an initially molten mantle, i.e., a magma ocean. Our model considers the thermal structure of the magma ocean, density constraints on crystal segregation, and approximate phase relationships for a nominally chondritic mantle. Crystallization will begin at the core-mantle boundary. Perovskite buoyancy at > 70 GPa may lead to a compositionally stratified lower mantle with iron-enriched mangesiowiistite content increasing with depth. The upper mantle may be depleted in perovskite components. Olivine neutral buoyancy may lead to the formation of a dunite septum in the upper mantle, partitioning the ocean into upper and lower reservoirs, but this septum must be permeable.

(2) Viscosity Measurement with Shock Waves

We have examined in detail the analytical method for measuring shear viscosity from the decay of perturbations on a corrugated shock front The relevance of initial conditions, finite shock amplitude, bulk viscosity, and the sensitivity of the measurements to the shock boundary conditions are discussed. The validity of the viscous perturbation approach is examined by numerically solving the second-order Navier-Stokes equations. These numerical experiments indicate that shock instabilities may occur even when the Kontorovich-D'yakov stability criteria are satisfied. The experimental results for water at 15 GPa are discussed, and it is suggested that the large effective viscosity determined by this method may reflect the existence of ice VII on the Rayleigh path of the Hugoniot This interpretation reconciles the experimental results with estimates and measurements obtained by other means, and is consistent with the relationship of the Hugoniot with the phase diagram for water. Sound waves are generated at 4.8 MHz at in the water experiments at 15 GPa. The existence of anelastic absorption modes near this frequency would also lead to large effective viscosity estimates.

(3) Equation of State of Molybdenum at 1400°C

Shock compression data to 96 GPa for pure molybdenum, initially heated to 1400°C, are presented. Finite strain analysis of the data gives a bulk modulus at 1400°C, K'_S. of 244±2 GPa and its pressure derivative, K'_OS of 4. A fit of shock velocity to particle velocity gives the coefficients of U_S = C_O+S U_P to be C_O = 4.77±0.06 km/s and S = 1.43±0.05. From the zero pressure sound speed, C_O, a bulk modulus of 232±6 GPa is calculated that is consistent with extrapolation of ultrasonic elasticity measurements. The temperature derivative of the bulk modulus at zero pressure, θK_OSθT|_P, is approximately -0.012 GPa/K. A thermodynamic model is used to show that the thermodynamic Grüneisen parameter is proportional to the density and independent of temperature. The Mie-Grüneisen equation of state adequately describes the high temperature behavior of molybdenum under the present range of shock loading conditions.

The Mechanical Genome in Regulation and Infection

Biological information storage and retrieval is a dynamic process that requires the genome to undergo dramatic structural rearrangements. Recent advances in single-molecule techniques have allowed precise quantification of the nano-mechanical properties of DNA [1, 2], and direct in vivo observation of molecules in action [3]. In this work, we will examine elasticity in protein-mediated DNA looping, whose structural rearrangement is essential for transcriptional regulation in both prokaryotes and eukaryotes. We will look at hydrodynamics in the process of viral DNA ejection, which mediates information transfer and exchange and has prominent implications in evolution. As in the case of Kepler's laws of planetary motion leading to Newton's gravitational theory, and the allometric scaling laws in biology revealing the organizing principles of complex networks [4], experimental data collapse in these biological phenomena has guided much of our studies and urged us to find the underlying physical principles.

Strength of thin-walled elliptical cylinders supported at the minor axis

In this investigation it was found that the instability failure of curved sheet is nearly independent of the type of loading and is primarily a function of the maximum stress, radius-thickness ration and modulus of elasticity. A method of correlating the critical stress of thin sheet under several different types of loading is given. An explanation for the experimental critical stress of thin walled cylinders under bending being greater than that for pure compression is given. The strength of unstiffened thin walled circular nose sections under pure bending was found to be controlled by local instability of the section, rather than a large scale instability. The equation of local instability of curved sheet gives values which are in fair agreement with those found experimentally.

The strength of elliptical cylinders supported at the minor axis under bending plus shear loads is governed primarily by the bending strength, and is little effected by the sheer force unless the amount of shear is quite large with respect to the moment. The effect of increasing the amount of elliptically greatly reduces the bending and shear strength of nose sections. Under torsional loads the stress at buckling falls off as the ration of the major to minor axis increases but the failure stress decreases at a slower rate than the buckling stress. The length effect of semi-circular sections under torsion is similar to that of a circular tube, and can be obtained by Donnell's theoretical equation.

Tenacificação em Nanocompósitos de Poliamida 6 e Argila

Nanocompósitos de poliamida 6 (PA6) e montmorilonita modificada com sal de amônio quaternário têm sido estudados, visando melhorar as propriedades térmicas e mecânicas. De fato os efeitos da nano-escala e da interação carga-matriz resultam em maior módulo de elasticidade e resistência à tração, porém a deformação é reduzida. Assim, nesse trabalho, optou-se por adicionar elastômeros, terpolímero de etileno-propileno-dieno (EPDM) e terpolímero de etileno-propileno-dieno modificado com anidrido maleico (EPDM-MA), ao sistema PA 6/argila organofílica para recuperar os valores de deformação. Foi utilizada montmorilonita modificada com cloreto de dimetildioctadecil amônio. A intercalação por fusão foi realizada em câmara interna de mistura. Além das propriedades mecânicas, térmicas e reológicas, foram investigadas as modificações na cristalinidade da fase PA-6 em função da adição da argila modificada, EPDM e EPDM-MA, detectando-se as variações no grau de cristalinidade e nas temperaturas de fusão e cristalização. Os difratogramas de raios-x revelaram ocorrência de intercalação/esfoliação e também modificação da forma cristalina da PA 6, indicando a formação do cristal gama

Some theorems in classical elastodynamic

This investigation is concerned with various fundamental aspects of the linearized dynamical theory for mechanically homogeneous and isotropic elastic solids. First, the uniqueness and reciprocal theorems of dynamic elasticity are extended to unbounded domains with the aid of a generalized energy identity and a lemma on the prolonged quiescence of the far field, which are established for this purpose. Next, the basic singular solutions of elastodynamics are studied and used to generate systematically Love's integral identity for the displacement field, as well as an associated identity for the field of stress. These results, in conjunction with suitably defined Green's functions, are applied to the construction of integral representations for the solution of the first and second boundary-initial value problem. Finally, a uniqueness theorem for dynamic concentrated-load problems is obtained.

On the uniqueness of singular solutions to boundary-initial value problems in linear elastodynamics

This investigation deals with certain generalizations of the classical uniqueness theorem for the second boundary-initial value problem in the linearized dynamical theory of not necessarily homogeneous nor isotropic elastic solids. First, the regularity assumptions underlying the foregoing theorem are relaxed by admitting stress fields with suitably restricted finite jump discontinuities. Such singularities are familiar from known solutions to dynamical elasticity problems involving discontinuous surface tractions or non-matching boundary and initial conditions. The proof of the appropriate uniqueness theorem given here rests on a generalization of the usual energy identity to the class of singular elastodynamic fields under consideration.

Following this extension of the conventional uniqueness theorem, we turn to a further relaxation of the customary smoothness hypotheses and allow the displacement field to be differentiable merely in a generalized sense, thereby admitting stress fields with square-integrable unbounded local singularities, such as those encountered in the presence of focusing of elastic waves. A statement of the traction problem applicable in these pathological circumstances necessitates the introduction of "weak solutions'' to the field equations that are accompanied by correspondingly weakened boundary and initial conditions. A uniqueness theorem pertaining to this weak formulation is then proved through an adaptation of an argument used by O. Ladyzhenskaya in connection with the first boundary-initial value problem for a second-order hyperbolic equation in a single dependent variable. Moreover, the second uniqueness theorem thus obtained contains, as a special case, a slight modification of the previously established uniqueness theorem covering solutions that exhibit only finite stress-discontinuities.

Finite-Element Simulations of Earthquakes

This thesis discusses simulations of earthquake ground motions using prescribed ruptures and dynamic failure. Introducing sliding degrees of freedom led to an innovative technique for numerical modeling of earthquake sources. This technique allows efficient implementation of both prescribed ruptures and dynamic failure on an arbitrarily oriented fault surface. Off the fault surface the solution of the three-dimensional, dynamic elasticity equation uses well known finite-element techniques. We employ parallel processing to efficiently compute the ground motions in domains containing millions of degrees of freedom.

Using prescribed ruptures we study the sensitivity of long-period near-source ground motions to five earthquake source parameters for hypothetical events on a strike-slip fault (M_w 7.0 to 7.1) and a thrust fault (M_w 6.6 to 7.0). The directivity of the ruptures creates large displacement and velocity pulses in the ground motions in the forward direction. We found a good match between the severity of the shaking and the shape of the near-source factor from the 1997 Uniform Building Code for strike-slip faults and thrust faults with surface rupture. However, for blind thrust faults the peak displacement and velocities occur up-dip from the region with the peak near-source factor. We assert that a simple modification to the formulation of the near-source factor improves the match between the severity of the ground motion and the shape of the near-source factor.

For simulations with dynamic failure on a strike-slip fault or a thrust fault, we examine what constraints must be imposed on the coefficient of friction to produce realistic ruptures under the application of reasonable shear and normal stress distributions with depth. We found that variation of the coefficient of friction with the shear modulus and the depth produces realistic rupture behavior in both homogeneous and layered half-spaces. Furthermore, we observed a dependence of the rupture speed on the direction of propagation and fluctuations in the rupture speed and slip rate as the rupture encountered changes in the stress field. Including such behavior in prescribed ruptures would yield more realistic ground motions.

Transferências produtivas e consultas terapêuticas: afeto e intensidade na experiência psicanalítica

O presente trabalho procura examinar a experiência psicanalítica através das consultas terapêuticas de Winnicott, levando-se em conta sua realização em instituições públicas de saúde brasileiras e buscando uma leitura não-ortodoxa da construção do dispositivo psicanalítico. Para isto, propõe-se, em um primeiro momento, o estudo sobre a questão do afeto e da intensidade na experiência analítica a partir das teorizações iniciais sobre transferência na obra freudiana. Em seguida discute-se a contribuição ferencziana com relação à noção de tato e a intensidade própria de sua prática clínica, priorizando-se a fase final de sua obra, momento em que o foco de seu trabalho dirigia-se mais agudamente às questões referentes ao lugar do analista, aos sentimentos contra-transferenciais e à elasticidade da técnica. Num terceiro momento, propõe-se um exame das idéias de Winnicott a respeito do manejo e o uso do objeto e as suas implicações na teorização sobre a transferência. Finalmente, pretende-se pensar o campo de afetação que se dá na clínica psicanalítica a partir dos conceitos de introjeção em Ferenczi, o surgimento dos sensos de eu e afetos de vitalidade na teoria de Stern e a relação de tais conceitos com alguns dos pressupostos winnicottianos, para fundamentar a possibilidade de transferências produtivas nas consultas terapêuticas.

Influência de propriedades físico químicas dos materiais resinosos e da técnica de inserção na adaptação marginal de restaurações classe II

A contração de polimerização das resinas compostas é uma característica indesejável que compromete a integridade da interface dente/restauração. O objetivo deste estudo foi avaliar in vitro a influência de diferentes materiais usados em restaurações classe II de resina composta, quanto ao grau de conversão, tensão de contração, resistência a flexão, módulo de elasticidade e formação de fenda marginal. Foram realizados preparos classe II com dimensões de 4x4x2mm em terceiros molares recém-extraídos para a avaliação da formação de fenda marginal. As cavidades foram niveladas com cimento de ionômero de vidro Riva Light Cure (SDI) (CIV), resina de baixa contração SureFilSDR (Dentsply) (SDR), resina flow FiltekZ350Flow (3M/ESPE) (Z350F) e resina composta FiltekP90 (3M/ESPE) (P90). As restaurações (n=3) foram avaliadas com lupa estereoscópica. A resistência a flexão foi avaliada por meio de ensaio de flexão em três pontos. Para este ensaio foram confeccionados dez corpos de prova (n=10) de cada material com dimensões de 10x2x1mm. Para o teste de tensão de contração foram utilizados cilindros de polimetacrilato com 5 mm de diâmetro e 13 ou 28mm de comprimento. Os bastões foram fixados na EMIC com um espaço de 2mm entre eles, onde os materiais foram inseridos. Foram realizadas cinco repetições para cada grupo (n=5) e a tensão proveniente da contração foi medida por até 10 minutos após o início da fotopolimerização. O Grau de Conversão (GC) foi determinado por espectroscopia no infravermelho com transformada de Fourier (FTIR). Os resultados foram tratados estatisticamente por análise de variância (ANOVA) e Teste de Tukey (p<0,05). Fenda marginal: Z350F = CIV > SDR = P90. Tensão de contração: Z350F > SDR > CIV = P90. Resistência a flexão: P90 > SDR = Z350F > CIV. Módulo de Elasticidade: P90 > CIV = SDR = Z350F. GC: Z350F = SDR > P90 > CIV. Conclusões: existe correlação entre a formação de fenda marginal e as propriedades físico químicas dos materiais testados, sendo as resinas de baixa contração que proporcionaram melhor adaptação marginal; existe correlação entre resistência a flexão, módulo de elasticidade, tensão de contração e a composição dos materiais, já que os compósitos com melhores resultados foram os que apresentaram os maiores percentuais de carga, no entanto, maior grau de conversão não representou melhores propriedades mecânicas.

Elasticidade-PIB do Imposto de Renda Pessoa Física e Jurídica

O objetivo específico da presente dissertação é estimar a elasticidade-PIB do Imposto de Renda Pessoa Física (IRPF) e Imposto Renda Pessoa Jurídica (IRPJ) no Brasil entre 1986 e 2012. A pesquisa também incorpora em seus objetivos uma análise técnica a respeito da tributação e seus impactos sobre o sistema econômico, tanto a nível microeconômico e macroeconômico, além de abordar o IRPF e IRPJ em seu aspecto econômico e jurídico. No tratamento metodológico são utilizados modelos de Vetor de Correção de erros (VEC) para estimar as elasticidades-PIB do IRPF e IRPJ. Os resultados apontam uma elasticidade-PIB, tanto para IRPF quanto IRPJ, acima da unidade, na maioria dos modelos estimados, e existem períodos determinados que impactam consideravelmente sobre à arrecadação desses tributos.

Age validation, growth, mortality, and demographic modeling of spotted gully shark (Triakis megalopterus) from the southeast coast of South Africa

This study documents validation of vertebral band-pair formation in spotted gully shark (Triakis megalopterus) with the use of fluorochrome injection and tagging of captive and wild sharks over a 21-year period. Growth and mortality rates of T. megalopterus were also estimated and a demographic analysis of the species was conducted. Of the 23 OTC (oxytetracycline) -marked vertebrae examined (12 from captive and 11 from wild sharks), seven vertebrae (three from captive and four from wild sharks) exhibited chelation of the OTC and fluoresced under ultraviolet light. It was concluded that a single opaque and translucent band pair was deposited annually up to at least 25 years of age, the maximum age recorded. Reader precision was assessed by using an index of average percent error calculated at 5%. No significant differences were found between male and female growth patterns (P>0.05), and von Bertalanffy growth model parameters for combined sexes were estimated to be L∞=1711.07 mm TL, k=0.11/yr and t0=–2.43 yr (n=86). Natural mortality was estimated at 0.17/yr. Age at maturity was estimated at 11 years for males and 15 years for females. Results of the demographic analysis showed that the population, in the absence of fishing mortality, was stable and not significantly different from zero and particularly sensitive to overfishing. At the current age at first capture and natural mortality rate, the fishing mortality rate required to result in negative population growth was low at F>0.004/ yr. Elasticity analysis revealed that juvenile survival was the principal factor in explaining variability in population growth rate.

The durability of different fish cage materials and the pros and cons of cage rotation

The procedures described are standard methods used in the European Union to quantify wood quality. Samples used here were smaller than the standards laid down in the DIN system (12 x 12 x 16 cm) as Litsea is a small tree and planks of the required size are unobtainable. The use of quality sized samples means that the results presented here can be compared with each other but unfortunately not with data in the literature. Wood is dried first at ambient temperature in the shade to reduce moisture content to an even 11-12%. Part of the sample was then oven-dried to 0% moisture content and its specific density determined by weighing a subsample of 128 cm super(3) (4 x 4 x 8 cm). Strength of expansion of the wood is determined as the percentage by which the wood sample can be pulled apart parallel and vertical to the grain before it breaks. Compression and bending strengths and elasticity are measured by compressing, bending and pulling wood sample in a machine specially designedto determine the forces required.

Efeitos da atividade física de baixa intensidade na estrutura das túnicas íntima e média da aorta em ratos espontaneamente hipertensos (SHR)

O exercício contínuo de baixa intensidade é capaz de atenuar a hipertrofia da célula muscular lisa da parede da aorta de ratos espontaneamente hipertensos (SHR), e parece atuar sobre a distribuição de fibras oxitalânicas, elaunínicas e elásticas. As alterações funcionais das grandes artérias relacionadas com a idade, deposição de colágeno e elastina na parede arterial e a elasticidade, são também melhoradas com a atividade física. No presente trabalho objetivamos estudar os efeitos da atividade física aeróbica de baixa intensidade no remodelamento estrutural da artéria aorta em modelo de hipertensão genética de ratos SHR. Através da análise da distribuição das fibras oxitalânicas, elaunínicas e elásticas na aorta dos animais controles e SHR submetidos ou não a atividade física de baixa intensidade. Foram utilizados 32 ratos, sendo 16 ratos SHR machos e 16 ratos normotensos Wistar Kyoto (WKY) machos com 8 semanas de idade. Ratos machos foram alocados em 4 grupos: WKY sedentário (WKY-SED), WKY exercitado (EX-WKY), SHR sedentário (SED-SHR), e SHR exercitado (EX-SHR). Os ratos sedentários foram limitados à atividade na caixa, enquanto que os ratos exercitados foram submetidos a um exercício de 1 h / dia, 5 dias / semana. Esses grupos passaram pelo protocolo de atividade física de 20 semanas e a pressão arterial foi mensurada semanalmente (PA). As aortas foram colhidas e processadas para microscopia de luz, microscopia eletrônica e western blotting. Foram realizadas as colorações orcinol neo-fucsina e resorcina-fucsina de Weigert. No grupo hipertenso, o exercício mantém a PA em um nível relativamente semelhante ao inicio do protocolo, mostrando a capacidade de prevenir o aumento da PA ao longo das 20 semanas. No grupo dos animais hipertensos não tratados, a PA aumenta. A PA aumentou progressivamente nos ratos SED-SHRs atingindo 1894 mmHg, mas o exercício físico impediu este processo. Ao final do experimento a PA nos ratos EX-SHRs foi similar o dos ratos WKY (1184 vs. 1144 mmHg), respectivamente. Observou-se maior expressão de elastina e maior distribuição de fibras oxitalânicas, elaunínicas e elásticas em animais que foram submetidos ao protocolo de exercício físico. A porcentagem de fibras elásticas e oxitalânicas foi menor em SED-SHR comparado com SED-WKY, mas o exercício físico aumentou a porcentagem dessas fibras em ambos os grupos. Através da imuno-histoquímica ultra-estrutural para elastina e fibrilina, os grupos EX-WKY e EX-SHR apresentaram uma marcação mais intensa para elastina e fibrilina. Animais hipertensos que não sofreram o protocolo de exercício físico apresentam espessura da parede da aorta maior que a dos animais que sofreram o exercício. O número de lamelas elásticas, bem como as fibras oxitalânicas e elaunínicas, é maior no grupo EX-SHR, em relação ao SED-SHR. Os grupos exercitados tiveram maior expressão de eNOS que seus respectivos grupos sedentários, e as células endoteliais apresentaram características morfológicas preservadas. A associação da atividade física com modelos de hipertensão genética mostra que o exercício físico tem efeitos benéficos nessa situação, uma vez que atenua a hipertensão e o remodelamento adverso da parede da aorta.

O direito prestacional à saúde e sua implementação judicial limites e possibilidades

A presente dissertação centra-se no estudo do direito prestacional à saúde e de sua sindicação por intermédio de demandas individuais e coletivas. Para tanto, demonstrada a fundamentalidade formal e material do direito à saúde, analisa-se como os tribunais brasileiros se comportam diante das muitas objeções opostas à sua atuação. Constatada a elasticidade do tratamento conferido pela jurisprudência às demandas individuais, propõem-se critérios objetivos limitadores; diante da contrastante timidez dos julgados na seara coletiva, o foco passa a ser o escrutínio das possibilidades de controle judicial inexploradas.