Surface-waves, stability, and scattering for a lined duct with flow

We consider a straight cylindrical duct with a steady subsonic axial flow and a reacting boundary (e.g. an acoustic lining). The wave modes are separated into ordinary acoustic duct modes, and surface modes confined to a small neighbourhood of the boundary. Many researchers have used a mass-spring-damper boundary model, for which one surface mode has previously been identified as a convective instability; however, we show the stability analysis used in such cases to be questionable. We investigate instead the stability of the surface modes using the Briggs-Bers criterion for a Flügge thin-shell boundary model. For modest frequencies and wavenumbers the thin-shell has an impedance which is effectively that of a mass-spring-damper, although for the large wavenumbers needed for the stability analysis the thin-shell and mass-spring-damper impedances diverge, owing to the thin shell's bending stiffness. The thin shell model may therefore be viewed as a regularization of the mass-spring-damper model which accounts for nonlocally-reacting effects. We find all modes to be stable for realistic thin-shell parameters, while absolute instabilities are demonstrated for extremely thin boundary thicknesses. The limit of vanishing bending stiffness is found to be a singular limit, yielding absolute instabilities of arbitrarily large temporal growth rate. We propose that the problems with previous stability analyses are due to the neglect of something akin to bending stiffness in the boundary model. Our conclusion is that the surface mode previously identified as a convective instability may well be stable in reality. Finally, inspired by Rienstra's recent analysis, we investigate the scattering of an acoustic mode as it encounters a sudden change from a hard-wall to a thin-shell boundary, using a Wiener-Hopf technique. The thin-shell is considered to be clamped to the hard-wall. The acoustic mode is found to scatter into transmitted and reflected acoustic modes, and surface modes strongly linked to the solid waves in the boundary, although no longitudinal or transverse waves within the boundary are excited. Examples are provided that demonstrate total transmission, total reflection, and a combination of the two. This thin-shell scattering problem is preferable to the mass-spring-damper scattering problem presented by Rienstra, since the thin-shell problem is fully determined and does not need to appeal to a Kutta-like condition or the inclusion of an instability in order to avoid a surface-streamline cusp at the boundary change.

Water Content Distribution in the Surface Layer of Maoping Slope

The water content distribution in the surface layer of Maoping slope has been studied by testing the water content at 31 control sites. The water content profiles at these sites have also been determined. The water content distributions at different segments have been obtained by using the Kriging method of geostatistics. By comparing the water content distributions with the landform of the slope, it was shown that the water content is closely dependent on the landform of the slope. The water content distribution in the surface layer provided a fundamental basis for landslide predication and treatment.

Impacto social y legislativo del Informe Warnock : consecuencias de una visión utilitarista del embrión

El presente trabajo surge del análisis del Informe Warnock y muestra cómo el Informe influyó en diferentes legislaciones, al tiempo que describe su impacto y la nueva forma de ver y conocer, a partir de éste, ciertos temas por parte del ciudadano común. Se analizará cada uno de los temas, por demás controvertidos, planteados en el Informe, entre los que se pueden enumerar los siguientes: inicio de la vida humana, tratamientos de fertilización asistida, donantes anónimos, criopreservación de embriones y alquiler de vientres. El Informe Warnock fue tomado como referencia para la redacción de distintas normas legales en todo el mundo. De allí su trascendencia, que marca hasta hoy un antes y un después en la sociedad científica en general y en la sociedad civil en particular.

Dos asambleas sinodales y una misma meta : estudiar los desafíos pastorales sobre la familia en el contexto de la evangelización

Resumen: Para toda la Iglesia, el presente año se caracteriza por la preparación de un Sínodo de los obispos de tipo extraordinario que preparará uno ordinario para el año próximo. Esta novedad metodológica ayuda a repasar el mencionado instituto teológico que, gracias al último Concilio Ecuménico, hace cincuenta años reviste el carácter de permanente. Los temas a tratar persiguen un mismo fin: estudiar los desafíos pastorales sobre la familia en el contexto de la evangelización. Propuesto como tema, también es continuidad de un método pontificio que solicita caminar en conjunto con el colegio de los obispos y por ende con todo el Pueblo de Dios. Finalmente se hace una propuesta que ayude a mejorar la terminología para hablar de matrimonio y familia en orden a un mejor acompañamiento canónico y pastoral de todas las realidades.

Entrevista a Osvaldo Santagada, una "biobibliografía"

En esta publicación número 100 de la revista Teología hemos decidido entrevistar a Osvaldo Domingo Bonifacio Santagada, quien tanto ha hecho en favor de nuestra Facultad de Teología como por su revista. Nacido en Buenos Aires, el 17 de julio de 1934, es sacerdote diocesano del clero de la Arquidiócesis de Buenos Aires. Se doctoró en Teología en la Universidad Católica Argentina, en 1965. Comenzó la docencia en la Facultad de Teología de la UCA en 1968. Llegando a ser, a partir de 1976, Profesor Ordinario de la Facultad de Teología.

Computation of stress intensity factors by the sub-region mixed finite element method of lines

Based on the sub-region generalized variational principle, a sub-region mixed version of the newly-developed semi-analytical 'finite element method of lines' (FEMOL) is proposed in this paper for accurate and efficient computation of stress intensity factors (SIFs) of two-dimensional notches/cracks. The circular regions surrounding notch/crack tips are taken as the complementary energy region in which a number of leading terms of singular solutions for stresses are used, with the sought SIFs being among the unknown coefficients. The rest of the arbitrary domain is taken as the potential energy region in which FEMOL is applied to obtain approximate displacements. A mixed system of ordinary differential equations (ODEs) and algebraic equations is derived via the sub-region generalized variational principle. A singularity removal technique that eliminates the stress parameters from the mixed equation system eventually yields a standard FEMOL ODE system, the solution of which is no longer singular and is simply and efficiently obtained using a standard general-purpose ODE solver. A number of numerical examples, including bi-material notches/cracks in anti-plane and plane elasticity, are given to show the generally excellent performance of the proposed method.

Confiança e democracia : aspectos de uma instável união estável

Na linguagem comum, confiança denota "segurança íntima de procedimento", "fé" e "esperança", de acordo com o Novo Dicionário Aurélio Buarque de Holanda. Na Ciência Política, a confiança aparece como facilitadora dos regimes democráticos, em uma literatura que, apesar das críticas, atravessa diversos momentos históricos, sendo aplicada, "democraticamente", em diversos países, há quase cinquenta anos. O artigo revisa essa literatura, por vezes incompreendida, para melhor entender aspectos da instável relação entre confiança e democracia: uma união estável muito próxima das bodas de ouro nessa bibliografia. Releva ainda a importância da mesma em democracias como o Brasil, que este ano comemora bodas de prata - 25 anos de regime democrático sem interrupção -, em um cenário de grandes assimetrias sociais e desafios inerentes ao processo de consolidação.

Conflitos temporais entre os processos legislativos ordinário e orçamentário

Analisa a interdependência, com ênfase no aspecto temporal, entre o processo legislativo ordinário, bicameral, produtor de normas permanentes, com prazos impróprios, em que se avalia o mérito e o processo orçamentário, congressual, prazos constitucionais, expedito e conciso. São usados como exemplos o PL 7749/10, que fixa o subsídio dos Ministros do Supremo Tribunal Federal por ato administrativo autorizado na LDO, e o entendimento comum de considerar-se como lacuna da Proposta Orçamentária da União para 2011, PL 59/10-CN, Lei 12.381/11, conforme Nota Técnica CONOF/CD nº 13/2010, a ausência de valores referentes a proposições em tramitação no processo legislativo bicameral, produtor de cogência normativa sob a forma de despesas obrigatórias continuadas.

O Colégio de Líderes : surgimento e evolução

Discute o funcionamento do Colégio de Líderes e seus efeitos sobre a atividade legislativa da Câmara dos Deputados. Para isso, a pesquisa se baseou em artigos científicos sobre o tema e documentos que demonstram o que motivou a criação do colegiado, como ele se reúne e de que modo ele colabora para a definição da pauta de votações do Plenário. Inclui entrevistas com figuras que participaram ativamente da criação e da evolução do Colégio de Líderes no cenário político. Descreve, ainda, de que forma a sua atuação limita a representatividade parlamentar e que soluções poderiam ser adotadas para amenizar esse conflito, já que, apesar de colaborar para a concentração de poderes no Congresso Nacional, esse órgão se tornou indispensável para a organização e agilidade dos trabalhos legislativos. Para ilustrar como se dá na prática a atuação do colegiado, procedeu-se a uma análise das reuniões realizadas no primeiro período da sessão legislativa ordinária de 2009, tudo com base em dados fornecidos pela Secretaria-Geral da Mesa da Câmara dos Deputados e em notícias da Agência Câmara divulgadas naquele semestre.

The mixed-type integral equations for transient elastodynamic plane crack problems

In the present paper, by use of the boundary integral equation method and the techniques of Green fundamental solution and singularity analysis, the dynamic infinite plane crack problem is investigated. For the first time, the problem is reduced to solving a system of mixed-typed integral equations in Laplace transform domain. The equations consist of ordinary boundary integral equations along the outer boundary and Cauchy singular integral equations along the crack line. The equations obtained are strictly proved to be equivalent with the dual integral equations obtained by Sih in the special case of dynamic Griffith crack problem. The mixed-type integral equations can be solved by combining the numerical method of singular integral equation with the ordinary boundary element method. Further use the numerical method for Laplace transform, several typical examples are calculated and their dynamic stress intensity factors are obtained. The results show that the method proposed is successful and can be used to solve more complicated problems.

Magnetohydrodynamics equilibrium of a self-confined elliptic plasma ball

A variational principle is applied to the problem of magnetohydrodynamics (MHD) equilibrium of a self-contained elliptical plasma ball, such as elliptical ball lightning. The principle is appropriate for an approximate solution of partial differential equations with arbitrary boundary shape. The method reduces the partial differential equation to a series of ordinary differential equations and is especially valuable for treating boundaries with nonlinear deformations. The calculations conclude that the pressure distribution and the poloidal current are more uniform in an oblate self-confined plasma ball than that of an elongated plasma ball. The ellipticity of the plasma ball is obviously restricted by its internal pressure, magnetic field, and ambient pressure. Qualitative evidence is presented for the absence of sighting of elongated ball lightning.

Analyses of the mechanical properties and microstructure of bamboo epoxy composites

Bamboo reinforced epoxy possesses reasonably good properties to waarrant its use as a structural material, and is fabricated by utilizing bamboo, an abundant material resource, in the technology of fibre composites. Literature on bamboo-plastics composites is rare. This work is an experimental study of unidirectional bamboo-epoxy laminates of varying laminae number, in which tensile, compressive, flexural and interlaminar shear properties are evaluated. Further, the disposition of bamboo fibre, the parenchymatous tissue, and the resin matrix under different loading conditions are examined. Our results show that the specific strength and specific modulus of bamboo-epoxy laminates are adequate, the former being 3 to 4 times that of mild steel. Its mechanical properties are generally comparable to those of ordinary glass-fibre composites. The fracture behaviour of bamboo-epoxy under different loading conditions were observed using both acoustic emission techniques and scanning electron microscopy. The fracture mode varied with load, the fracture mechanism being similar to glass and carbon reinforced composites. Microstructural analyses revealed that natural bamboo is eligibly a fibre composite in itself; its inclusion in a plastic matrix will help solve the problems of cracking due to desiccation and bioerosion caused by insect pests. Furthermore, the thickness and shape of the composite can be tailored during fabrication to meet specific requirements, thereby enabling a wide spectrum of applications.

The influence of buoyancy on the oscillatory thermocapillary convection with small bond number

This work is an experimental study of unidirectional bamboo-epoxy laminates of varying laminae number, in which tensile, compressive, flexural and interlaminar shear properties are evaluated. Further, the disposition of bamboo fibre, the parenchymatous tissue, and the resin matrix under different loading conditions are examined. Our results show that the specific strength and specific modulus of bamboo-epoxy laminates are adequate, the former being 3 to 4 times that of mild steel. Its mechanical properties are generally comparable to those of ordinary glass-fibre composites. The fracture behaviour of bamboo-epoxy under different loading conditions were observed using both acoustic emission techniques and scanning electron microscopy. The fracture mode varied with load, the fracture mechanism being similar to glass and carbon reinforced composites. Microstructural analyses revealed that natural bamboo is eligibly a fibre composite in itself; its inclusion in a plastic matrix will help solve the problems of cracking due to desiccation and bioerosion caused by insect pests. Furthermore, the thickness and shape of the composite can be tailored during fabrication to meet specific requirements, thereby enabling a wide spectrum of applications.

Some theorems in asymptotic analysis

Basing ourselves on the analysis of magnitude of order, we strictly prove fundamental lemmas for asymptotic integral, including the cases of infinite region. Then a general formula for asymptotic expansion of integrals is given. Finally, we derive a sufficient condition for an ordinary differential equation to possess a solution of the Frobenius series type at finite irregular singularities or branching points.

The thermal and mechanical structure of a two-dimensional plume in the earths mantle

On the condition that the distribution of velocity and temperature at the mid-plane of a mantle plume has been obtained (pages 213–218, this issue), the problem of determining the lateral structure of the plume at a given depth is reduced to solving an eigenvalue problem of a set of ordinary differential equations with five unknown functions, with an eigenvalue being related to the thermal thickness of the plume at this depth. The lateral profiles of upward velocity, temperature and viscosity in the plume and the thickness of the plume at various depths are calculated for two sets of Newtonian rheological parameters. The calculations show that the precondition for the existence of the plume, δT/L 1 (L = the height of the plume, δT = lateral distance from the mid-plane), can be satisfied, except for the starting region of the plume or near the base of the lithosphere. At the lateral distance, δT, the upward velocity decreases to 0.1 – 50% of its maximum value at different depths. It is believed that this model may provide an approach for a quantitative description of the detailed structure of a mantle plume.