Compacted shales cause problems because they tend to degrade with time due to weathering. Degradation results in the shale deteriorating from a hard rock-like material to a soft fine-grained soil mass with lower shear strength and high deformability. Consequently, common problems that occur in embankments constructed with compacted shales include settlement and instabilities. Therefore, accelerating weathering prior to compaction by wetting and breaking down the shales before placement can reduce the deterioration during the service life of the construction. Extensive laboratory testing was performed in order to characterize the mechanical behavior of compacted shales. Critical State theory is a clever framework that describes the mechanical behavior of soils with a simple system of equations that explains all the aspects of compression and shear of soils. NorSand is a model constructed in the framework of the Critical State theory that decouples the yield loci from the normally consolidated line. This characteristic made this model suitable for compacted shales. Also, empirical evidence showed that the plastic behavior of compacted shales is controlled by a Nova type flow rule that is a function of the mineralogical characteristics of the shales. This finding has implications in the shape of the yield loci and the hardening rule.

The heat flux produced from the friction between a disc and pad system leads to a high temperature which causes thermal stresses in the disc and after a number of repeated braking cycles, cracks might be initiated. The finite element analysis (FEA) is performed to determine the temperatures profile in the disc and to analyze the stresses for the repeated braking, which could be used to calculate the fatigue life of a disc.Sequentially coupled approach is used for thermo-mechanical problem and the problem is divided into two parts, heat analysis and thermal stress analysis. The heat analysis is obtained by including frictional heat and adopting an Eulerian approach. The heat analysis is conducted by using Abaqus and the toolbox developed by Niclas Strömberg. The thermal stress analysis, which is the main focus of this thesis, is followed using Abaqus. The plasticity theory as background for stress analysis is discussed in detail. The rate independent elasto-plastic plasticity is used in the stress analysis. Temperature independent material properties are considered throughout the thesis work.Isotropic, kinematic and combined hardening models are analyzed for simple 2D academic models for different types of cyclic loads. A benchmark disc and pad model, which is less complicated than the real disc-pad model, is also studied. The linear kinematic hardening model with rate independent elastic-plastic plasticity is used for benchmark and real disc-pad model. The results of the benchmark model and the real model are observed to be similar in terms of plasticity theory.

No description available.

Based upon the upper bound limit analysis, the stability numbers have been developed for a two-layered soil slope both for an associated flow rule material and for a homogeneous slope with non-associated flow rule material. The failure surface was assumed to be an arc of logarithmic spiral and it automatically ensures the kinematics admissibility of the failure mechanism with respect to the rigid rotation of the soil mass about the focus of the logarithmic spiral. The effect of the pore water pressure and horizontal earthquake body forces was also included m the analysis. For a non-associated flow rule material, the stress distribution along the failure surface was developed with the assumption of interslice forces given by Fellenius and Bishop. The stability numbers have been found to reduce appreciably with increases m the (i) horizontal inclination (β) of slope, (ii) pore water pressure coefficient, ru and (iii) horizontal earthquake acceleration coefficient (kh). The values of the stability numbers for a non-associated co-axial flow rule, with dilatancy angle ψ =0, have been found to be considerably lower as compared to the associated flow rule material. For a given height of the slope, with associated flow rule, the values of the stability numbers have been found to increase with increase in the thickness of a layer with greater value of the friction angle Φ. The results have been given in the form of non-dimensional stability charts, which can be used for readily obtaining either the value of the critical height or the factor of safety The methodology can be easily extended even for multi-layered soil slopes with different values of cohesion (c), bulk unit weight (γ) and friction angle (Φ). An attempt has also been made in this thesis to study experimentally the effect of the frequency of the excitation and the addition of non-plastic fines on the liquefaction resistance of the material Shake table studies, generating uni-axial sinusoidal horizontal vibrations, were earned out for this purpose. During the period of excitation of the material, the settlement at the surface of the sample increases continuously with time up to a certain peak value and thereafter, it becomes almost constant. For the excitation of the material with higher frequency, more number of cycles was seen to reach the final settlement. With the continuous excitation of the material, the magnitude of the pore water pressures increases up to a certain peak value and there after, its magnitude decreases till it again becomes the hydrostatic pressure as it was before the excitation of the material. The peak magnitude of the pore water pressure tends to be higher for the excitation with smaller frequency especially at greater depths from the ground surface. The addition of non-plastic fines tends to increase the magnitude of the settlement as well as the increase in the pore water pressure.

O dimensionamento de fundações apoiadas sobre solos reforçados por colunas representa um desafio devido à natureza composta do mesmo e à grande quantidade de inclusões envolvidas no processo de reforço. Do ponto de vista do cálculo da capacidade de carga, as metodologias de dimensionamento propostas na literatura tratam ou de cálculos empíricos, ou de cálculos analíticos para carregamentos puramente verticais, ou utilizam o método de elementos finitos através de análises elasto-plásticas incrementais. No presente trabalho estuda-se, através da análise limite, a capacidade de carga de fundações superficiais apoiadas sobre solos argilosos reforçados por colunas submetidas a cargas inclinadas. Assim, este trabalho constitui uma primeira referência em analisar o efeito do reforço no diagrama de interação que relaciona às componentes da carga. Inicialmente, realizou-se uma análise em estado plano de deformação para um solo reforçado por uma coluna isolada. Foram construídos campos de tensões lineares por trecho, estaticamente admissíveis e que satisfazem o critério de resistência, determinando limites inferiores da capacidade de carga. Trata-se da abordagem estática da análise limite. Na sequência, através da utilização de mecanismos de ruptura cinematicamente admissíveis, foram encontrados limites superiores da capacidade de carga. Trata-se da abordagem cinemática da análise limite. A construção de ábacos permitiu realizar um estudo paramétrico da melhora da capacidade de carga em função dos parâmetros adimensionais, definidos pela geometria e propriedades de resistência. Finalmente, realizou-se uma generalização à situação de um solo reforçado por um grupo de colunas, em estado plano de deformação, mediante a aplicação da abordagem estática e cinemática da análise limite e posterior estudo paramétrico. Os resultados mostraram que, a medida que aumenta a componente horizontal da força, a componente vertical de ruptura diminui. Este fato constitui um risco na edificação de estruturas submetidas a carregamentos inclinados. Os parâmetros adimensionais que controlam a capacidade de carga são: o ângulo de atrito interno do material de reforço e a relação entre o intercepto coesivo do reforço e do solo. Foi encontrado que, para fins práticos, a carga limite é independente da quantidade de colunas, sempre que o volume de reforço seja mantido. / From a practical engineering viewpoint, design of column-reinforced foundations turns to be a challenging task owing to the strong heterogeneity of the geo-composite resulting from the association of native soft soil and the reinforcing soil columns. The design procedures conceived to estimate bearing capacity improvement from this reinforcement technique have mainly dealt with foundations under vertical loading. The purpose of the present work is to investigate the ultimate bearing capacity problem of column-reinforced foundations under inclined loading, within the framework of limit analysis theory. Special emphasis is given to the effect of reinforcement on the interaction diagram relating the foundation load components. Starting from the situation of an isolated column, a lower bound solution for the bearing capacity is derived, in plain strain analysis, by considering statically admissible piecewise linear stress fields that comply with the failure condition everywhere in the foundation soil. On the other hand, the kinematic approach of limit analysis makes it possible, through the implementation of failure mechanisms on the column-reinforced structure, to derive upper bound estimates of the bearing capacity for each value of the inclination angle of applied load. The semi-analytical expressions of both lower and upper bound estimates allow for a parametric study on the improvement of the bearing capacity as a function of dimensionless parameters, which are defined from geometrical and strength properties. In this context, design charts are presented to provide an insight into the reinforcement mechanism. Finally, the generalization of the approaches to the situation of a soil reinforced by a group of columns is presented, considering plain strain analysis. As soon as the horizontal component of the force increases, the vertical component of the bearing capacity decreases. This fact constitutes a risk for structures submitted to inclined loading. The dimensionless parameters that control the bearing capacity are: the reinforcement material friction angle and the relation between the coesion intercept of the reinforcement and the soil. For practical purposes, the bearing capacity doesn’t depend on the column number, but on the reinforcement volume.

O dimensionamento de fundações apoiadas sobre solos reforçados por colunas representa um desafio devido à natureza composta do mesmo e à grande quantidade de inclusões envolvidas no processo de reforço. Do ponto de vista do cálculo da capacidade de carga, as metodologias de dimensionamento propostas na literatura tratam ou de cálculos empíricos, ou de cálculos analíticos para carregamentos puramente verticais, ou utilizam o método de elementos finitos através de análises elasto-plásticas incrementais. No presente trabalho estuda-se, através da análise limite, a capacidade de carga de fundações superficiais apoiadas sobre solos argilosos reforçados por colunas submetidas a cargas inclinadas. Assim, este trabalho constitui uma primeira referência em analisar o efeito do reforço no diagrama de interação que relaciona às componentes da carga. Inicialmente, realizou-se uma análise em estado plano de deformação para um solo reforçado por uma coluna isolada. Foram construídos campos de tensões lineares por trecho, estaticamente admissíveis e que satisfazem o critério de resistência, determinando limites inferiores da capacidade de carga. Trata-se da abordagem estática da análise limite. Na sequência, através da utilização de mecanismos de ruptura cinematicamente admissíveis, foram encontrados limites superiores da capacidade de carga. Trata-se da abordagem cinemática da análise limite. A construção de ábacos permitiu realizar um estudo paramétrico da melhora da capacidade de carga em função dos parâmetros adimensionais, definidos pela geometria e propriedades de resistência. Finalmente, realizou-se uma generalização à situação de um solo reforçado por um grupo de colunas, em estado plano de deformação, mediante a aplicação da abordagem estática e cinemática da análise limite e posterior estudo paramétrico. Os resultados mostraram que, a medida que aumenta a componente horizontal da força, a componente vertical de ruptura diminui. Este fato constitui um risco na edificação de estruturas submetidas a carregamentos inclinados. Os parâmetros adimensionais que controlam a capacidade de carga são: o ângulo de atrito interno do material de reforço e a relação entre o intercepto coesivo do reforço e do solo. Foi encontrado que, para fins práticos, a carga limite é independente da quantidade de colunas, sempre que o volume de reforço seja mantido. / From a practical engineering viewpoint, design of column-reinforced foundations turns to be a challenging task owing to the strong heterogeneity of the geo-composite resulting from the association of native soft soil and the reinforcing soil columns. The design procedures conceived to estimate bearing capacity improvement from this reinforcement technique have mainly dealt with foundations under vertical loading. The purpose of the present work is to investigate the ultimate bearing capacity problem of column-reinforced foundations under inclined loading, within the framework of limit analysis theory. Special emphasis is given to the effect of reinforcement on the interaction diagram relating the foundation load components. Starting from the situation of an isolated column, a lower bound solution for the bearing capacity is derived, in plain strain analysis, by considering statically admissible piecewise linear stress fields that comply with the failure condition everywhere in the foundation soil. On the other hand, the kinematic approach of limit analysis makes it possible, through the implementation of failure mechanisms on the column-reinforced structure, to derive upper bound estimates of the bearing capacity for each value of the inclination angle of applied load. The semi-analytical expressions of both lower and upper bound estimates allow for a parametric study on the improvement of the bearing capacity as a function of dimensionless parameters, which are defined from geometrical and strength properties. In this context, design charts are presented to provide an insight into the reinforcement mechanism. Finally, the generalization of the approaches to the situation of a soil reinforced by a group of columns is presented, considering plain strain analysis. As soon as the horizontal component of the force increases, the vertical component of the bearing capacity decreases. This fact constitutes a risk for structures submitted to inclined loading. The dimensionless parameters that control the bearing capacity are: the reinforcement material friction angle and the relation between the coesion intercept of the reinforcement and the soil. For practical purposes, the bearing capacity doesn’t depend on the column number, but on the reinforcement volume.

O dimensionamento de fundações apoiadas sobre solos reforçados por colunas representa um desafio devido à natureza composta do mesmo e à grande quantidade de inclusões envolvidas no processo de reforço. Do ponto de vista do cálculo da capacidade de carga, as metodologias de dimensionamento propostas na literatura tratam ou de cálculos empíricos, ou de cálculos analíticos para carregamentos puramente verticais, ou utilizam o método de elementos finitos através de análises elasto-plásticas incrementais. No presente trabalho estuda-se, através da análise limite, a capacidade de carga de fundações superficiais apoiadas sobre solos argilosos reforçados por colunas submetidas a cargas inclinadas. Assim, este trabalho constitui uma primeira referência em analisar o efeito do reforço no diagrama de interação que relaciona às componentes da carga. Inicialmente, realizou-se uma análise em estado plano de deformação para um solo reforçado por uma coluna isolada. Foram construídos campos de tensões lineares por trecho, estaticamente admissíveis e que satisfazem o critério de resistência, determinando limites inferiores da capacidade de carga. Trata-se da abordagem estática da análise limite. Na sequência, através da utilização de mecanismos de ruptura cinematicamente admissíveis, foram encontrados limites superiores da capacidade de carga. Trata-se da abordagem cinemática da análise limite. A construção de ábacos permitiu realizar um estudo paramétrico da melhora da capacidade de carga em função dos parâmetros adimensionais, definidos pela geometria e propriedades de resistência. Finalmente, realizou-se uma generalização à situação de um solo reforçado por um grupo de colunas, em estado plano de deformação, mediante a aplicação da abordagem estática e cinemática da análise limite e posterior estudo paramétrico. Os resultados mostraram que, a medida que aumenta a componente horizontal da força, a componente vertical de ruptura diminui. Este fato constitui um risco na edificação de estruturas submetidas a carregamentos inclinados. Os parâmetros adimensionais que controlam a capacidade de carga são: o ângulo de atrito interno do material de reforço e a relação entre o intercepto coesivo do reforço e do solo. Foi encontrado que, para fins práticos, a carga limite é independente da quantidade de colunas, sempre que o volume de reforço seja mantido. / From a practical engineering viewpoint, design of column-reinforced foundations turns to be a challenging task owing to the strong heterogeneity of the geo-composite resulting from the association of native soft soil and the reinforcing soil columns. The design procedures conceived to estimate bearing capacity improvement from this reinforcement technique have mainly dealt with foundations under vertical loading. The purpose of the present work is to investigate the ultimate bearing capacity problem of column-reinforced foundations under inclined loading, within the framework of limit analysis theory. Special emphasis is given to the effect of reinforcement on the interaction diagram relating the foundation load components. Starting from the situation of an isolated column, a lower bound solution for the bearing capacity is derived, in plain strain analysis, by considering statically admissible piecewise linear stress fields that comply with the failure condition everywhere in the foundation soil. On the other hand, the kinematic approach of limit analysis makes it possible, through the implementation of failure mechanisms on the column-reinforced structure, to derive upper bound estimates of the bearing capacity for each value of the inclination angle of applied load. The semi-analytical expressions of both lower and upper bound estimates allow for a parametric study on the improvement of the bearing capacity as a function of dimensionless parameters, which are defined from geometrical and strength properties. In this context, design charts are presented to provide an insight into the reinforcement mechanism. Finally, the generalization of the approaches to the situation of a soil reinforced by a group of columns is presented, considering plain strain analysis. As soon as the horizontal component of the force increases, the vertical component of the bearing capacity decreases. This fact constitutes a risk for structures submitted to inclined loading. The dimensionless parameters that control the bearing capacity are: the reinforcement material friction angle and the relation between the coesion intercept of the reinforcement and the soil. For practical purposes, the bearing capacity doesn’t depend on the column number, but on the reinforcement volume.

No description available.

The ability to predict fatigue crack growth rates is essential in safety critical systems. The discovery of fatigue crack closure in 1970 caused a flourish of research in attempts to simulate this behaviour, which crucially affects crack growth rates. Historically, crack tip plasticity models have been based on one-dimensional rays of plasticity emanating from the crack tip, either co-linear with the crack (for the case of plane stress), or at a chosen angle in the plane of analysis (for plane strain). In this thesis, one such model for plane stress, developed to predict fatigue crack closure, has been refined. It is applied to a study of the relationship between the apparent stress intensity range (easily calculated using linear elastic fracture mechanics), and the true stress intensity range, which includes the effects of plasticity induced fatigue crack closure. Results are presented for all load cases for a finite crack in an infinite plane, and a method is demonstrated which allows the calculation of the true stress intensity range for a growing crack, based only on the apparent stress intensity range for a static crack. Although the yield criterion is satisfied along the plastic ray, these one-dimensional plasticity models violate the yield criterion in the area immediately surrounding the plasticity ray. An area plasticity model is therefore required in order to model the plasticity more accurately. This thesis develops such a model by distributing dislocations over an area. Use of the model reveals that current methods for incremental plasticity algorithms using distributed dislocations produce an over-constrained system, due to misleading assumptions concerning the normality condition. A method is presented which allows the system an extra degree of freedom; this requires the introduction of a parameter, derived using the Prandtl-Reuss flow rule, which relates the magnitude of slip on complementary shear planes. The method is applied to two problems, confirming its validity.