Long-range automaton models of earthquakes: Power-law accelerations, correlation evolution, and mode-switching

We introduce a conceptual model for the in-plane physics of an earthquake fault. The model employs cellular automaton techniques to simulate tectonic loading, earthquake rupture, and strain redistribution. The impact of a hypothetical crustal elastodynamic Green's function is approximated by a long-range strain redistribution law with a r(-p) dependance. We investigate the influence of the effective elastodynamic interaction range upon the dynamical behaviour of the model by conducting experiments with different values of the exponent (p). The results indicate that this model has two distinct, stable modes of behaviour. The first mode produces a characteristic earthquake distribution with moderate to large events preceeded by an interval of time in which the rate of energy release accelerates. A correlation function analysis reveals that accelerating sequences are associated with a systematic, global evolution of strain energy correlations within the system. The second stable mode produces Gutenberg-Richter statistics, with near-linear energy release and no significant global correlation evolution. A model with effectively short-range interactions preferentially displays Gutenberg-Richter behaviour. However, models with long-range interactions appear to switch between the characteristic and GR modes. As the range of elastodynamic interactions is increased, characteristic behaviour begins to dominate GR behaviour. These models demonstrate that evolution of strain energy correlations may occur within systems with a fixed elastodynamic interaction range. Supposing that similar mode-switching dynamical behaviour occurs within earthquake faults then intermediate-term forecasting of large earthquakes may be feasible for some earthquakes but not for others, in alignment with certain empirical seismological observations. Further numerical investigation of dynamical models of this type may lead to advances in earthquake forecasting research and theoretical seismology.

Nonlinear fatigue damage model based on the residual strength degradation law

In this paper, a logarithmic expression to describe the residual strength degradation process is developed in order to fatigue test results for normalized carbon steel. The definition and expression of fatigue damage due to symmetrical stress with a constant amplitude are also given. The expression of fatigue damage can also explain the nonlinear properties of fatigue damage. Furthermore, the fatigue damage of structures under random stress is analyzed, and an iterative formula to describe the fatigue damage process is deduced. Finally, an approximate method for evaluating the fatigue life of structures under repeated random stress blocking is presented through various calculation examples.

Higher-order analysis of crack-tip fields in power-law hardening materials

In this paper, we present an exact higher-order asymptotic analysis on the near-crack-tip fields in elastic-plastic materials under plane strain, Mode I. A four- or five-term asymptotic series of the solutions is derived. It is found that when 1.6 < n less-than-or-equal-to 2.8 (here, n is the hardening exponent), the elastic effect enters the third-order stress field; but when 2.8< n less-than-or-equal-to 3.7 this effect turns to enter the fourth-order field, with the fifth-order field independent. Moreover, if n>3.7, the elasticity only affects the fields whose order is higher than 4. In this case, the fourth-order field remains independent. Our investigation also shows that as long as n is larger than 1.6, the third-order field is always not independent, whose amplitude coefficient K3 depends either on K1 or on both K1 and K2 (K1 and K2 arc the amplitude coefficients of the first- and second-order fields, respectively). Firmly, good agreement is found between our results and O'Dowd and Shih's numerical ones[8] by comparison.

Higher-order analysis of crack tip fields in elastic power-law hardening materials

A HIGHER-ORDER asymptotic analysis of a stationary crack in an elastic power-law hardening material has been carried out for plane strain, Mode 1. The extent to which elasticity affects the near-tip fields is determined by the strain hardening exponent n. Five terms in the asymptotic series for the stresses have been derived for n = 3. However, only three amplitudes can be independently prescribed. These are K1, K2 and K5 corresponding to amplitudes of the first-, second- and fifth-order terms. Four terms in the asymptotic series have been obtained for n = 5, 7 and 10; in these cases, the independent amplitudes are K1, K2 and K4. It is found that appropriate choices of K2 and K4 can reproduce near-tip fields representative of a broad range of crack tip constraints in moderate and low hardening materials. Indeed, fields characterized by distinctly different stress triaxiality levels (established by finite element analysis) have been matched by the asymptotic series. The zone of dominance of the asymptotic series extends over distances of about 10 crack openings ahead of the crack tip encompassing length scales that are microstructurally significant. Furthermore, the higher-order terms collectively describe a spatially uniform hydrostatic stress field (of adjustable magnitude) ahead of the crack. Our results lend support to a suggestion that J and a measure of near-tip stress triaxiality can describe the full range of near-tip states.

Singular behaviour near the tip of a sharp V-notch in a power law hardening material

This paper presents an asymptotic analysis of the near-tip stress and strain fields of a sharp V-notch in a power law hardening material. First, the asymptotic solutions of the HRR type are obtained for the plane stress problem under symmetric loading. It is found that the angular distribution function of the radial stress sigma(r) presents rapid variation with the polar angle if the notch angle beta is smaller than a critical notch angle; otherwise, there is no such phenomena. Secondly, the asymptotic solutions are developed for antisymmetric loading in the cases of plane strain and plane stress. The accurate calculation results and the detailed comparisons are given as well. All results show that the singular exponent s is changeable for various combinations of loading condition and plane problem.

A unified law of motion of lithospheric plates and the driving mechanism

From observed data on lithospheric plates, a unified empirical law for plate motion,valid for continental as well as oceanic plates, is obtained in the following form: The speedof plate motion U depends linearly on a geometric parameter T_d, ratio of the sum of effectiveridge length and trench arc length to the sum of area of continental part of plate and total areaof cold sinking slab. Based on this unified law, a simple mechanical analysis shows that, themain driving forces for lithospheric plates come from push along the mid-ocean ridge andpull by the cold sinking slab, while the main drag forces consist of the viscous traction beneaththe continental part of plate and over both faces of the sinking slab. Moreover, the specific-push along ridge and pull by slab are found to be of equal magnitude.

Régimen jurídico de las lenguas y reconocimiento de la diversidad lingüística en el Tratado por el que se establece una Constitución para Europa

The territory of the European Union is made up of a rich and wide-ranging universe of languages, which is not circumscribed to the «State languages». The existence of multilingualism is one of Europe’s defining characteristics and it should remain so in the constantly evolving model of Europe’s political structure. Nonetheless, until now, the official use of languages has been limited to the «State languages» and has been based on a concept of state monolingualism that has led to a first level of hierarchization among the languages of Europe. This has affected the very concept of European language diversity. The draft of the treaty establishing a European Constitution contains various language-related references that can be grouped in two major categories: on the one hand, those references having to do the constitutional status of languages, and on the other, those regarding the recognition of European language diversity. Both issues are dealt with in this article. In analyzing the legal regime governing languages set forth in the draft of the constitutional treaty, we note that the draft is not based on the concept of the official status of languages. The language regulation contained in the draft of the constitutional treaty is limited in character. The constitutional language regime is based on the concept of Constitutional languages but the official status of languages is not governed by this rule. The European Constitution merely enunciates rights governing language use for European citizens vis-à-vis the languages of the Constitution and refers the regulation of the official status of languages to the Council, which is empowered to set and modify that status by unanimous decision. Because of its broad scope, this constitutes a regulatory reservation. In the final phase of the negotiation process a second level of constitutional recognition of languages would be introduced, linked to those that are official languages in the member states (Catalan, Basque, Galician, etc.). These languages, however, would be excluded from the right to petition; they would constitute a tertium genus, an intermediate category between the lan guages benefiting from the language rights recognized under the Constitution and those other languages for which no status is recognized in the European institutional context. The legal functionality of this second, intermediate category will depend on the development of standards, i.e., it will depend on the entrée provided such languages in future reforms of the institutional language regime. In a later section, the article reflects on European Union language policy with regard to regional or minority languages, concluding that the Union has not acted in accordance with defined language policy guidelines when it has been confronted, in the exercise of its powers, with regional or minority languages (or domestic legislation having to do with language demands). The Court of Justice has endeavoured to resolve on a case by case basis the conflicts raised between community freedoms and the normative measures that protect languages. Thus, using case law, the Court has set certain language boundaries for community freedoms. The article concludes by reflecting on the legal scope of the recognition of European language diversity referred to in Article II-82 of the European Constitution and the possible measures to implement the precept that might constitute the definition of a true European language policy on regional or minority languages. Such a policy has yet to be defined.

Interações entre o Legislativo e o Executivo federal do Brasil na definição de políticas de interesse amplo: uma abordagem sistêmica, com aplicação na saúde

Aborda a relação entre o Legislativo e o Executivo na produção de políticas. Identifica os elementos do sistema de produção legislativa do Brasil (regras estruturantes, atores, recursos, instâncias de decisão e tipos de políticas produzidas) e propõe um modelo para o caso brasileiro de presidencialismo de coalizão, com base em estudos sobre a relação entre o presidente e o Congresso dos EUA e também na vasta produção existente sobre o contexto nacional. O sistema é estruturado pelo marco normativo de maior hierarquia, a Constituição, determinado historicamente, o qual privilegia a governabilidade com "accountability" e também orienta políticas segundo princípios de equidade, mas com responsabilidade orçamentária. O modelo considera que as agendas estratégicas dos atores são produto de variadas influências, incluindo o ¿status quo¿ (políticas existentes) e as demandas provenientes das conexões normativa e eleitoral. A partir desse modelo, o estudo analisa seus elementos e relações, aplicando-o a um conjunto abrangente de propostas legislativas (cerca de 21 mil proposições sobre todos os temas, apresentadas no Congresso entre 1999 e 2006, nas três vias).

Prevalência da Câmara dos Deputados no processo legislativo bicameral : a Lei de improbidade administrativa

Analisa a Constituição Federal e as Leis Ordinárias editadas em 2011 para saber se existe a prevalência de uma das Casas do Congresso Nacional na elaboração das leis. O estudo pretende, a partir da abordagem teórica e da análise das legislações publicadas, observando o processo legislativo bicameral para deliberação dos projetos, verificar as consequências para a definição do texto final das leis publicadas. Para tanto, propõe-se realizar estudo sobre o Poder Legislativo no Brasil e o modelo de sistema bicameral adotado. Também são analisadas todas as Constituições editadas no Brasil para saber os aspectos históricos e políticos em sua elaboração e os efeitos na definição das atribuições das Casas do Congresso Nacional, com repercussões no processo legislativo. É realizada a análise da tramitação legislativa da Lei de Improbidade Administrativa, expondo os textos adotados pelas Casas, com a definição do texto encaminhado para transformação em norma jurídica.

Science-based restoration monitoring of coastal habitats, Volume One: A framework for monitoring plans under the Estuaries and Clean Waters Act of 2000 (Public Law 160-457)

Executive Summary: The Estuary Restoration Act of 2000 (ERA), Title I of the Estuaries and Clean Waters Act of 2000, was created to promote the restoration of habitats along the coast of the United States (including the US protectorates and the Great Lakes). The NOAA National Centers for Coastal Ocean Science was charged with the development of a guidance manual for monitoring plans under this Act. This guidance manual, titled Science-Based Restoration Monitoring of Coastal Habitats, is written in two volumes. It provides technical assistance, outlines necessary steps, and provides useful tools for the development and implementation of sound scientific monitoring of coastal restoration efforts. In addition, this manual offers a means to detect early warnings that the restoration is on track or not, to gauge how well a restoration site is functioning, to coordinate projects and efforts for consistent and successful restoration, and to evaluate the ecological health of specific coastal habitats both before and after project completion (Galatowitsch et al. 1998). The following habitats have been selected for discussion in this manual: water column, rock bottom, coral reefs, oyster reefs, soft bottom, kelp and other macroalgae, rocky shoreline, soft shoreline, submerged aquatic vegetation, marshes, mangrove swamps, deepwater swamps, and riverine forests. The classification of habitats used in this document is generally based on that of Cowardin et al. (1979) in their Classification of Wetlands and Deepwater Habitats of the United States, as called for in the ERA Estuary Habitat Restoration Strategy. This manual is not intended to be a restoration monitoring “cookbook” that provides templates of monitoring plans for specific habitats. The interdependence of a large number of site-specific factors causes habitat types to vary in physical and biological structure within and between regions and geographic locations (Kusler and Kentula 1990). Monitoring approaches used should be tailored to these differences. However, even with the diversity of habitats that may need to be restored and the extreme geographic range across which these habitats occur, there are consistent principles and approaches that form a common basis for effective monitoring. Volume One, titled A Framework for Monitoring Plans under the Estuaries and Clean Waters Act of 2000, begins with definitions and background information. Topics such as restoration, restoration monitoring, estuaries, and the role of socioeconomics in restoration are discussed. In addition, the habitats selected for discussion in this manual are briefly described. (PDF contains 116 pages)

An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems

This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by an SEIR (susceptible plus infected plus infectious plus removed populations) epidemic model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes the contacts among susceptible and infected more difficult. The vaccination strategy is based on a continuous-time nonlinear control law synthesised via an exact feedback input-output linearization approach. An observer is incorporated into the control scheme to provide online estimates for the susceptible and infected populations in the case when their values are not available from online measurement but they are necessary to implement the control law. The vaccination control is generated based on the information provided by the observer. The control objective is to asymptotically eradicate the infection from the population so that the removed-by-immunity population asymptotically tracks the whole one without precise knowledge of the partial populations. The model positivity, the eradication of the infection under feedback vaccination laws and the stability properties as well as the asymptotic convergence of the estimation errors to zero as time tends to infinity are investigated.