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Discontinuous planes often develop in soils; examples include shear bands, desiccation cracks, polygonal faults, and hydraulic fractures. These discontinuities affect the mechanical behavior (stiffness and strength) and transport properties of sediments (fluid migration and diffusion). Contrary to discontinuities in solid materials, granular materials such as soils are already separated at the particle scale. Therefore, the fundamental understanding of the development of discontinuities in soils must recognize their inherent granular nature and effective-stress dependent behavior. This research focuses on particle-scale mechanisms involved in contraction-driven shear failure due to mineral dissolution, desiccation cracks, and hydraulic fractures. Complementary experimental, analytical and numerical methods are used to study three cases. Contraction-driven polygonal fault formation under the seabed. Shear failure planes are often found in sediments that formed under near horizontal burial conditions. Particle-scale volume contraction due to mineral dissolution causes a decrease in the state of stress from the insitu K0-condition to the active failure Ka stress field. Shear strain localization follows in sediment with post-peak strain softening response. Desiccation cracks in saturated fine soils. The formation of desiccation cracks in soils is often interpreted in terms of tensile strength, which contradicts the cohesionless, effective stress dependent frictional behavior of fine grained soils. Experimental results monitored using high resolution time lapse photography point to a proper effective stress-dependent mechanism centered on the invasion of the air-water interface membrane. Miscible and immiscible fluid-driven fracture formation. Hydraulic fracture in granular materials cause grain separation and the development of conduits for preferential fluid flow leading to fracture formation due to the forced invasion of either immiscible or miscible fluids. Capillary, seepage, and skeletal interparticle forces define particle scale mechanisms at the fracture tip. Numerical simulations confirm that the effective stress remains in compression everywhere throughout the granular medium in the three localization mechanisms.

While the change literature is currently dominated by the punctuated equilibrium paradigm, anomalies have appeared to the paradigm in the form of high velocity change and hypercompetition. D'Aveni (1999) reconciles these anomalies with the punctuated equilibrium paradigm by suggesting that the frequency of change experienced affects the change experienced. This research considered whether the presence of increasing returns in an industry is correlated with the frequency of change experienced by the industry and the types of change that appear, thus providing an explanation for the differing forms of change. A second observation in the literature is that an industry experiences a period of instability after a discontinuity. This research considered whether the temporal proximity or type of a preceding discontinuity influenced the likelihood or type of later discontinuities. A longitudinal study identified discontinuities in nine industries throughout the industries' histories. The industries were categorised as: increasing returns, derived from external network effects (Airlines, Data Communications, Electricity and Shipping Lines), complementarity (Information Storage) or information content (Software), respectively; or as constant returns (Aircraft Manufacturing, Telecommunications Manufacturing and Shipbuilding). A comparison of discontinuities has been made between pairs of industries with a common end-user of the industry outputs, where one industry exhibits increasing returns and the companion industry has constant returns, using Binomial Distribution, Fisher's Exact Test and Generalised Linear Modelling techniques. Further Generalised Linear Models tested the interactions of discontinuities. Industries with increasing returns were found to have greater frequency of change. The types of change experienced were found to affect subsequent change, with both types of discontinuities being correlated with increased proportions of competency-enhancing change for ten years, while competency-destroying and competency-enhancing discontinuities were associated with increased frequency of change for twenty and ten years, respectively. The evidence associating increasing returns with competency type was unreliable. Consequently, increasing returns industries may experience a greater variation of frequency of change, with industries entering and leaving periods of enhanced frequencies of change. Thus, industries with increasing returns are more likely to experience change consistent with hypercompetition and high velocity conditions, compared with the punctuated equilibrium style change experienced by constant returns industries.

Made available in DSpace on 2014-06-11T19:28:35Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-03-21Bitstream added on 2014-06-13T20:37:41Z : No. of bitstreams: 1 rodrigues_ea_me_bauru.pdf: 1602991 bytes, checksum: 7f755b87b5be84900b2d054f02413197 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / No presente trabalho desenvolve-se um modelo constitutivo baseado na mecânica do dano contínuo para representar o comportamento de materiais que apresentam diferentes respostas quando solicitados à tração ou à compreensão. obtem-se uma representação constitutiva através da composição de modelos simples e específicos para tratar cada tipo de solicitação. Este modelo combinado é capaz inclusive de lidar com carregamentos alternados (tração e compreensão), envolvendo fechamento e reabertura de fissuras existentes. Para modelar o comportamento em compreensão emprega-se o modelo constitutivo que tem como critério de degradação o segundo invariante do tensor de tensão desviador (critério de Von Mises ou J2). Para simular o aparecimento de fissuras de tração, usa-se o modelo de dano com critério de degradação baseado na energia de deformação da parte positiva do tensor efetivas. A integração dos modelos é feita com base em tensões efetivas associadas a duas escalas distintas (escala grosseira e refinada). O modelo é apto para representar a formação de descontinuidades no campo de deslocamento (descontinuidades fortes) em materiais quase-frágeis. Nesse caso, a região de localização de deformação (zona de processo da fatura) pode ser descrita pelo modelo de dano combinado, com lei de abrandamento de tensões (softening) exponencial, que estabelece dissipação compatível com a energia de fratura. A região contínua pode ser descrita pelo modelo de dano J2, com parâmetros ajustados com base no comportamento não linear à compreensão. Valida-se o modelo proposto mediante testes básicos, focando a capacidade do modelo em representar os principais aspectos do comportamento de materiais quase-frágeis. A aplicabilidade do modelo é demonstrada através do estudo da capacidade de rotação plástica de vigas de concreto armado, confrontando-se os resultados numéricos com os experimentais / A combined constitutive model based on the Continuum Damage Mechanics (CDM) is presented to represent the nonlinear behavior of quasi-brittle materials, which present different response when subjected to tension or compreession. The constitutive model is a composition of two simple and specific models designed to treat each type of behavior. The combined model is able to deal with alternating load (tension-compression), involving formation, closure and reopening cracks. To model the compressive behavior, a degradation criterion based on the second invariant of the deviatoric part of the effective stress tensor (Von Miser or J2 criterion) is used. To simulate cracking, a damage model with degradation criterion based on the strain energy associated to the positive part the effective stress tensor is adopted. The combination of the models is made on the basis of the effective stresses associated to two distinct scales (coarse and fine scales) The model is able to represented the formation of discontinuities in the displacement field (strong discontinuities) for quasi-brittle materials. The region of strain localization (fracture process zone) is described by a softening law which establishes dissipation energy compatible with the fracture energy. The continuous region is described by the J2 damage model, with parameters ajusted to describle the compressive nonlinear behavior in compression. Some basic tests are performed to asses the ability of the model to represent the main aspects of the behavior of quasi-brittle materials. The applicability of the model is demonstrated by the study of the plastic rotation capacity of reinforced concrete beams, comparing the numerical responses with the experimental ones

Taludes escavados em filitos muitas vezes estão sujeitos à instabilidade, principalmente quando há outras famílias de descontinuidades presentes na estrutura. Este problema está presente na mina de Candiota, onde foi identificado, em um dos taludes, potencialidade para ruptura por tombamento. Este trabalho aborda uma discussão sobre métodos analíticos e numéricos aplicado a tombamento primário, com objetivo de avaliar o fator de segurança do talude em estudo por meio de método numérico por elementos finitos, utilizando o Phase2 da Rocscience, e métodos analíticos. Também são apresentadas doze simulações para avaliar se o movimento de tombamento em modelagens numéricas obedece a um efeito de escala. Com uso de métodos numéricos dois modelos foram construídos: um contínuo equivalente e outro contínuo (mas com as descontinuidades inseridas no modelo). No modelo com as descontinuidades a rocha foi tratada como elástica por meio do critério de Hoek-Brown e as descontinuidades foram tratadas como elasto-plásticas por meio do critério de Mohr-Coulomb. Os resultados das modelagens da mina de Candiota foram semelhantes e mostraram fatores de segurança em níveis de estabilidade, sendo que no modelo contínuo (mas com descontinuidades inseridas) se observou de forma mais clara as tensões cisalhantes induzidas nas descontinuidades quando ocorre o movimento de tombamento. O uso dos métodos analíticos mostrou-se ineficientes para o problema apresentado. Os resultados das doze modelagens sugerem que o aumento do espaçamento das descontinuidades influencia nos fatores de resistência dos taludes e na forma do movimento de tombamento. / Slopes in phyllites are often subject to instability, especially when there are other families of discontinuities in the structure. This problem is present in Candiota mine, which was identified in one of the slopes potential to toppling. This work show a discussion of analytical and numerical methods applied to toppling, to evaluate the slope safety factor being studied by numerical method finite element using the Phase2 of Rocscience, and analytical methods. Also shown are twelve simulations to evaluate if the toppling in numerical modeling follows a scaling effect. With use of numerical methods two models were built: an equivalent continuous and another solid (but with discontinuities inserted in the model). In the model with the discontinuities the rock was treated as elastic by the Hoek-Brown criterion and discontinuities were treated as elastic-plastic by the Mohr-Coulomb criterion. The results of Candiota mine were similar and showed safety factors in stability levels, and in the continuous model (with discontinuities) was observed more clearly the shear stress induced in discontinuities when the movement of overturning occurs. The use of analytical methods proved inefficient for the problem presented. The results of the twelve modeling suggests increasing the spacing of the discontinuities of slope influences the resistance factor and the form of the toppling movement.

This thesis has experimentally studied the strength and stiffness properties of bedding planes and discontinuities in the immediate roof layers overlying Herrin No. 6 coal seam in Illinois. Rock joints and bedding planes are typical discontinuities in bedded rock mass and they control failure initiation and propagation of failure through the rock mass. Strength as well as deformation properties of bedding planes, joints and discontinuities are influenced by their surface roughness, inclination, intact rock properties, and pre-mining stress values and their orientation. The strength and deformation properties (stiffness values) are characterized by peak and residual strength values. Since support loads in excavations are due to deformations of the rock mass, their analysis should consider their strength and stiffness values. The overall goal of this research is to determine the shear strength and associated stiffness properties of bedding planes and joints of the immediate roof strata rocks within 25-30 ft. (7.5-9 m) overlying Herrin no. 6 coal seam (within the pressure arch zone) using direct shear tests. A shear test loading device was designed and integrated into the 150 t (1,334 kN) [*]Forney compression loading machine in the department. It was used to perform direct shear tests in accordance with ASTM D5607-08 " Standard test method for performing laboratory direct shear strength tests of rock specimens under constant normal force". The equipment also allows for determination of peak and residual friction angles along with the dilation angle. A total of 49 bedding plane samples were tested, out of which 46 (36 intact and 10 relatively weak and loose) samples passed QA/QC procedures in accordance to ASTM D5607. Samples from eight (8) different bedding planes- shale/limestone (SL), shale/sandstone (SSs), shale/bone (SB), laminated sandstone (LS), shale/shale (SS), bone/bone (BB), bone/limestone (BL), and limestone/limestone (LL) were tested. The number of samples tested for each bedding plane were: SL- 11, SSs- 8, SB- 5, BB- 4, LS- 6, SS- 9, BL- 1, and LL- 2. Moisture content and as-received unit weight values of samples range 0.9% to 5% and 111 pcf (17.5 kN/m3) to 165 pcf (25 kN/m3), respectively. Shear strength values were developed at 400 psi (2.75 MPa) normal stress. Upon failure, residual shear strengths were determined at 600 psi (4.13 MPa) and 800 psi (5.5 MPa) normal stresses to calculate the angle of sliding friction and to develop the failure criterion for each rock type. Peak and residual shear strength values at 400 psi (2.75 MPa) normal stress range 153 - 907 psi (1.06 - 6.26 MPa) and 119 - 600 psi (0.82 -4.14 MPa), respectively. The average normal and shear stiffness values are 44,000 psi/in (11.98 GPa/m) and 11450 psi/in (3.11 GPa/m). Dilation angles are typically very low (<10◦) and negative in some cases. Joint roughness values with JRC index were typically below 10. Angle of sliding friction values range from 9◦ to 42◦. Failure criterion for different bedding planes and a composite failure criterion representing the behavior of all bedding planes were developed using linear regression. A numerical modeling case study of remnant pillar stability in a southern Illinois mine was performed that used the shear strength and stiffness parameters developed above. FLAC3D, Phase2D, and LaModel were also used to assess the stability of remnant pillars. This study would significantly aid in the design and stability analysis of both surface and underground mines. Data developed can be successfully implemented in safe geotechnical design of any surface and underground structure (both civil and mining) viz. slope stability of open pit mining, subsidence prediction during longwall and room and pillar mining. Results from this thesis would significantly improve in the safe and accurate design of mine excavations. * Equipment mentioned is not for endorsement

Orientador: Osvaldo Luís Manzoli / Banca: Túlio Nogueira Bittencourt / Banca: Estevam Barbosa de Las Casas / Resumo: Este trabalho tem o propósito de contribuir para a generalização tridimensional de problemas de análise numérica da propagação de fissura, mediante a formulação de elementos finitos com descontinuidade incorporada. Em problemas planos as descontinuidades correspondem a linhas que podem ser elaboradas de uma forma relativamente simples, através da construção sequencial de segmentos retos, orientados conforme a direção de falha no interior de cada elemento finito do sólido. Na análise tridimensional a construção do caminho de descontinuidade é mais complexa, pois devem ser construídas superficiais planas no interior de cada elemento e essas superfícies planas devem ser contínuas entre os elementos. É apresentada, nesse trabalho, uma técnica alternativa de construção do caminho de descontinuidade em análises tridimensionais baseado na solução de um problema análogo ao problema de condução de calor, estabelecido a partir de orientações locais de falha, baseado no estado de tensão do problema mecânico. A solução do problema equivalente é obtida utilizando a mesma malha e interpolações do problema mecânico. Para minimizar o esforço computacional, é proposta uma estratégia na qual a análise para mapear o caminho da descontinuidade é restrita ao domínio formado por alguns elementos próximos à superfície de fissura, que se desenvolve ao longo do processo de carregamento. Para validar a metodologia proposta foram realizadas análises tridimensionais de problemas básicos de fratura experimentais e seus resultados foram contrastados com os resultados encontrados na bibliografia. Realizou-se também a comparação do tempo de processamento entre o algoritmo proposto e o algaritmo global para as mesmas análises mencionadas acima. Como resultado, constatou-se que o algoritmo proposto conseguiu descrever satisfatoriamente as trajetórias de descontinuidade, consumindo menor tempo de processamento / Abstract: This work contributes to the generalization to 3D problems of numerical analysis of crack propagation, through finite elements formulation with embedded discontinuity. In plane problems the discontinuities correspond to lines that can be tracked in a relatively simple way, by sequentially constructing straight segments, following the crack orientation inside each solid finite elements. In tree-dimensional analysis the tracking scheme is more complex since planar surfaces must be constructed inside each element and these planar surfaces must be continuous between elements. It is show in this work, an alternative version of discontinuity path construction technique in three-dimensional analysis based on the solution of an analogous heat conduction problem, established from the local failure orientation based on the stress state of the mechanical problem. The solution of the equivalent problem is obtained using the same mesh and interpolations of the mechanical problem. To minimize computational effort, a strategy is proposed in which the analysis to track the discontinuity path is restricted to the domain formed by few elements near the crack surface front, which develops along the loading process. To validate the poposed methodology three-dimensional analysis of experimental fracture test were performed and the results were contrasted with those obtained from the literature. The comparison between the process time of the proposed algorithm and the global algorithm was performed too. It was found that the proposed algorithm was able to describe the discontinuity path satisfactorily with reduced computational time / Mestre

Taludes escavados em filitos muitas vezes estão sujeitos à instabilidade, principalmente quando há outras famílias de descontinuidades presentes na estrutura. Este problema está presente na mina de Candiota, onde foi identificado, em um dos taludes, potencialidade para ruptura por tombamento. Este trabalho aborda uma discussão sobre métodos analíticos e numéricos aplicado a tombamento primário, com objetivo de avaliar o fator de segurança do talude em estudo por meio de método numérico por elementos finitos, utilizando o Phase2 da Rocscience, e métodos analíticos. Também são apresentadas doze simulações para avaliar se o movimento de tombamento em modelagens numéricas obedece a um efeito de escala. Com uso de métodos numéricos dois modelos foram construídos: um contínuo equivalente e outro contínuo (mas com as descontinuidades inseridas no modelo). No modelo com as descontinuidades a rocha foi tratada como elástica por meio do critério de Hoek-Brown e as descontinuidades foram tratadas como elasto-plásticas por meio do critério de Mohr-Coulomb. Os resultados das modelagens da mina de Candiota foram semelhantes e mostraram fatores de segurança em níveis de estabilidade, sendo que no modelo contínuo (mas com descontinuidades inseridas) se observou de forma mais clara as tensões cisalhantes induzidas nas descontinuidades quando ocorre o movimento de tombamento. O uso dos métodos analíticos mostrou-se ineficientes para o problema apresentado. Os resultados das doze modelagens sugerem que o aumento do espaçamento das descontinuidades influencia nos fatores de resistência dos taludes e na forma do movimento de tombamento. / Slopes in phyllites are often subject to instability, especially when there are other families of discontinuities in the structure. This problem is present in Candiota mine, which was identified in one of the slopes potential to toppling. This work show a discussion of analytical and numerical methods applied to toppling, to evaluate the slope safety factor being studied by numerical method finite element using the Phase2 of Rocscience, and analytical methods. Also shown are twelve simulations to evaluate if the toppling in numerical modeling follows a scaling effect. With use of numerical methods two models were built: an equivalent continuous and another solid (but with discontinuities inserted in the model). In the model with the discontinuities the rock was treated as elastic by the Hoek-Brown criterion and discontinuities were treated as elastic-plastic by the Mohr-Coulomb criterion. The results of Candiota mine were similar and showed safety factors in stability levels, and in the continuous model (with discontinuities) was observed more clearly the shear stress induced in discontinuities when the movement of overturning occurs. The use of analytical methods proved inefficient for the problem presented. The results of the twelve modeling suggests increasing the spacing of the discontinuities of slope influences the resistance factor and the form of the toppling movement.

Taludes escavados em filitos muitas vezes estão sujeitos à instabilidade, principalmente quando há outras famílias de descontinuidades presentes na estrutura. Este problema está presente na mina de Candiota, onde foi identificado, em um dos taludes, potencialidade para ruptura por tombamento. Este trabalho aborda uma discussão sobre métodos analíticos e numéricos aplicado a tombamento primário, com objetivo de avaliar o fator de segurança do talude em estudo por meio de método numérico por elementos finitos, utilizando o Phase2 da Rocscience, e métodos analíticos. Também são apresentadas doze simulações para avaliar se o movimento de tombamento em modelagens numéricas obedece a um efeito de escala. Com uso de métodos numéricos dois modelos foram construídos: um contínuo equivalente e outro contínuo (mas com as descontinuidades inseridas no modelo). No modelo com as descontinuidades a rocha foi tratada como elástica por meio do critério de Hoek-Brown e as descontinuidades foram tratadas como elasto-plásticas por meio do critério de Mohr-Coulomb. Os resultados das modelagens da mina de Candiota foram semelhantes e mostraram fatores de segurança em níveis de estabilidade, sendo que no modelo contínuo (mas com descontinuidades inseridas) se observou de forma mais clara as tensões cisalhantes induzidas nas descontinuidades quando ocorre o movimento de tombamento. O uso dos métodos analíticos mostrou-se ineficientes para o problema apresentado. Os resultados das doze modelagens sugerem que o aumento do espaçamento das descontinuidades influencia nos fatores de resistência dos taludes e na forma do movimento de tombamento. / Slopes in phyllites are often subject to instability, especially when there are other families of discontinuities in the structure. This problem is present in Candiota mine, which was identified in one of the slopes potential to toppling. This work show a discussion of analytical and numerical methods applied to toppling, to evaluate the slope safety factor being studied by numerical method finite element using the Phase2 of Rocscience, and analytical methods. Also shown are twelve simulations to evaluate if the toppling in numerical modeling follows a scaling effect. With use of numerical methods two models were built: an equivalent continuous and another solid (but with discontinuities inserted in the model). In the model with the discontinuities the rock was treated as elastic by the Hoek-Brown criterion and discontinuities were treated as elastic-plastic by the Mohr-Coulomb criterion. The results of Candiota mine were similar and showed safety factors in stability levels, and in the continuous model (with discontinuities) was observed more clearly the shear stress induced in discontinuities when the movement of overturning occurs. The use of analytical methods proved inefficient for the problem presented. The results of the twelve modeling suggests increasing the spacing of the discontinuities of slope influences the resistance factor and the form of the toppling movement.

1 Title: MHD discontinuities in the solar wind and their relation to processes in the Earth magnetosphere Author: Oleksandr Goncharov Department / Institute: Department of Surface and Plasma Science, Faculty of Mathematics and Physics, Charles University Supervisor of the doctoral thesis: Prof. RNDr. Jana Safrankova, DrSc Abstract: Collisionless shocks are ubiquitous in the heliosphere from the outer corona to the termination shock. They play an important role in the interaction of the solar wind with the planets because they efficiently convert the energy of the directed ion flow into the energy of heated ions and electrons, the energy of the enhanced magnetic field, and the energy of the accelerated particles. The leading idea of the thesis is to investigate evolution of distinct solar wind features, predominantly interplanetary shocks, within the solar wind, their interaction with the outer magnetospheric boundaries (magnetopause and bow shock), and to follow a path of resulting discontinuities through the magnetosphere up to its far tail. The methodology is based on the statistical evaluation of multispacecraft observations as well as on case studies of particular events. Some experimental investigations are supported with computer modeling. Moreover, an application of fast plasma measurements of the...