Spallation analysis with a closed trans-scale formulation damage evolution

A closed, trans-scale formulation of damage evolution based on the statistical microdamage mechanics is summarized in this paper. The dynamic function of damage bridges the mesoscopic and macroscopic evolution of damage. The spallation in an aluminium plate is studied with this formulation. It is found that the damage evolution is governed by several dimensionless parameters, i.e., imposed Deborah numbers De* and De, Mach number M and damage number S. In particular, the most critical mode of the macroscopic damage evolution, i.e., the damage localization, is deter-mined by Deborah number De+. Deborah number De* reflects the coupling and competition between the macroscopic loading and the microdamage growth. Therefore, our results reveal the multi-scale nature of spallation. In fact, the damage localization results from the nonlinearity of the microdamage growth. In addition, the dependence of the damage rate on imposed Deborah numbers De* and De, Mach number M and damage number S is discussed.

Microdamage Evolution, Energy Dissipation and Their Trans-Scale Effects on Macroscopic Failure

The process of damage evolution concerns various scales, from micro- to macroscopic. How to characterize the trans-scale nature of the process is on the challenging frontiers of solid mechanics. In this paper, a closed trans-scale formulation of damage evolution based on statistical microdamage mechanics is presented. As a case study, the damage evolution in spallation is analyzed with the formulation. Scaling of the formulation reveals that the following dimensionless numbers: reduced Mach number M, damage number S, stress wave Fourier number P, intrinsic Deborah number D*, and the imposed Deborah number De*, govern the whole process of deformation and damage evolution. The evaluation of P and the estimation of temperature increase show that the energy equation can be ignored as the first approximation in the case of spallation. Hence, apart from the two conventional macroscopic parameters: the reduced Mach number M and damage number S, the damage evolution in spallation is mainly governed by two microdamage-relevant parameters: the Deborah numbers D* and De*. Higher nucleation and growth rates of microdamage accelerate damage evolution, and result in higher damage in the target plate. In addition, the mere variation in nucleation rate does not change the spatial distribution of damage or form localized rupture, while the increase of microdamage growth rate localizes the damage distribution in the target plate, which can be characterized by the imposed Deborah number De*.

Las Sergas de Esplandián como trans-formación amadisiana

Integran este número de la revista ponencias presentadas en Studia Hispanica Medievalia VIII: Actas de las IX Jornadas Internacionales de Literatura Española Medieval, 2008, y de Homenaje al Quinto Centenario de Amadis de Gaula

Critical Sensitivity and Trans-Scale Fluctuations in Catastrophic Rupture

Rupture in the heterogeneous crust appears to be a catastrophe transition. Catastrophic rupture sensitively depends on the details of heterogeneity and stress transfer on multiple scales. These are difficult to identify and deal with. As a result, the threshold of earthquake-like rupture presents uncertainty. This may be the root of the difficulty of earthquake prediction. Based on a coupled pattern mapping model, we represent critical sensitivity and trans-scale fluctuations associated with catastrophic rupture. Critical sensitivity means that a system may become significantly sensitive near catastrophe transition. Trans-scale fluctuations mean that the level of stress fluctuations increases strongly and the spatial scale of stress and damage fluctuations evolves from the mesoscopic heterogeneity scale to the macroscopic scale as the catastrophe regime is approached. The underlying mechanism behind critical sensitivity and trans-scale fluctuations is the coupling effect between heterogeneity and dynamical nonlinearity. Such features may provide clues for prediction of catastrophic rupture, like material failure and great earthquakes. Critical sensitivity may be the physical mechanism underlying a promising earthquake forecasting method, the load-unload response ratio (LURR).

Trans-Scale Mechanics: Looking For The Missing Links Between Continuum And Micro/Nanoscopic Reality

Problems involving coupled multiple space and time scales offer a real challenge for conventional frameworks of either particle or continuum mechanics. In this paper, four cases studies (shear band formation in bulk metallic glasses, spallation resulting from stress wave, interaction between a probe tip and sample, the simulation of nanoindentation with molecular statistical thermodynamics) are provided to illustrate the three levels of trans-scale problems (problems due to various physical mechanisms at macro-level, problems due to micro-structural evolution at macro/micro-level, problems due to the coupling of atoms/molecules and a finite size body at micro/nano-level) and their formulations. Accordingly, non-equilibrium statistical mechanics, coupled trans-scale equations and simultaneous solutions, and trans-scale algorithms based on atomic/molecular interaction are suggested as the three possible modes of trans-scale mechanics.

La apariencia como trans-parencia : una situación existencial del homo poeticus

Resumen: Dostoevskij atribuye a la belleza una función salvífica (“la belleza salvará al mundo”), poniéndola así en relación con el campo afectivo, salvación significa en efecto vida plena; para Matisse “Todo arte digno de tal nombre es religioso”, es decir, posee una función de “mediación-unión” entre órdenes diversos. La noción de “visión interior”, es la que mejor fundamenta estas convicciones. Ella atraviesa el tiempo y el espacio: está presente en la antigua cultura china, así como en la Grecia clásica y en la Antigüedad Tardía y permanece implícita durante todo el Medioevo; se la vuelve a encontrar en alguno de los máximos pintores modernos (Kandinsky, Chagal). Todos los testimonios de los artistas concuerdan en indicar que para alcanzarla es necesario una especie de ascesis: ésta consiste en una revelación, experimentada como un don, del Sentido oculto en lo sensible; por el hecho de dar inicio al pasaje de un nivel ontológico a otro (valencia re-ligiosa o syn-bolica) y de consistir en una experiencia de plenitud de vida, le pertenece además un efecto transformante (valencia afectiva). Esta vía propiamente humana de la “visión interior”, por la cual la apariencia (lo sensible) se vuelve trans-parencia de lo invisible, se presenta como la más adecuada al arte cristiano para el culto.

Threshold diversity and trans-scales sensitivity in a finite nonlinear evolution model of materials failure

We present a slice-sampling method and study the ensemble evolution of a large finite nonlinear system in order to model materials failure. There is a transitional region of failure probability. Its size effect is expressed by a slowly decaying scaling law. In a meso-macroscopic range (similar to 10(5)) in realistic failure, the diversity cannot be ignored. Sensitivity to mesoscopic details governs the phenomena. (C) 1997 Published by Elsevier Science B.V.

Deputados brasileiros : repertório biográfico : 54ª legislatura, 2011-2015

Reúne as informações pessoais e sobre a vida profissional e política dos 513 deputados eleitos no pleito de outubro de 2010, no momento inicial da 54ª Legislatura, tendo por objetivo constituir-se em importante fonte de pesquisa e de preservação da memória da Câmara dos Deputados

Deputados brasileiros : repertório biográfico : 53ª legislatura, 2007-2011

Reúne as informações pessoais e sobre a vida profissional e política dos 513 deputados eleitos no pleito de 3 de outubro de 2006, no momento inicial da 53ª Legislatura, tendo por objetivo constituir-se em importante fonte de pesquisa e de preservação da memória da Câmara dos Deputados.

Construtores do Brasil : homens e mulheres que ajudaram a fazer um grande país

Catálogo da exposição "Construtores do Brasil", realizada em setembro de 2012 na Câmara dos Deputados. Traz biografias e imagens de personagens da história do Brasil, selecionados entre aqueles que se destacaram na formação e consolidação do Estado brasileiro. A mostra, reedição de outra já realizada em 2009, ganhou novas ilustrações, em diferentes estilos e técnicas, especialmente encomendadas a artistas plásticos renomados.

Deputados brasileiros : repertório biográfico : 51ª legislatura, 1999-2003

Reúne as informações pessoais e sobre a vida profissional e política dos 513 deputados eleitos no pleito de outubro de 1998, no momento inicial da 51ª Legislatura, tendo por objetivo constituir-se em importante fonte de pesquisa e de preservação da memória da Câmara dos Deputados

Deputados brasileiros : repertório biográfico : 52ª legislatura, 2003-2007

Reúne as informações pessoais e sobre a vida profissional e política dos 513 deputados eleitos no pleito de outubro de 2002, no momento inicial da 52ª Legislatura, tendo por objetivo constituir-se em importante fonte de pesquisa e de preservação da memória da Câmara dos Deputados

Elaboração de projeto de lei concedendo cidadania brasileira para filhos e netos de brasileiros natos que nasceram no exterior, sob a forma de naturalização, a exemplo da lei italiana [lei do oriundo]

Consultoria Legislativa - Área XVIII - Direito Internacional Público, Relações Internacionais.

Brasileiros no exterior

Consultoria Legislativa - Área XVIII - Direito Internacional Público, Relações Internacionais.

Obrigatoriedade de criação de guardas municipais em todos os municípios brasileiros

Consultoria Legislativa - Área XVII - Segurança e Defesa Nacional.