This thesis consists of four chapters. In this thesis we explored associative plasticity of human motor cortex with the use of noninvasive transcranial magnetic stimulation (TMS). Paired Associative Stimulation (PAS) has grown in popularity because of its potential clinical applications. We used TMS techniques in combination with electromyographic (EMG) measurements to study cortical excitability and kinematic features of arm movement. This work has focused in a cohesive approach to answer certain fundamental questions about a) the rules of cortical plasticity and mechanism of PAS, b) the interaction between the state of neuronal excitability at the targeted cortical network and the effects of PAS, and c) translation of these effects into obvious measurable kinematic changes starting from network level changes and ending up with the behavioral modulation of arm movement. First we explored the role of GABAergic intracortical networks and intracortical facilitation on modulation of cortical excitability by showing for the first time that PAS can be conditioned by these inhibitory and facilitatory intracortical networks. Next, using standard indirect approaches utilizing peripheral EMG measures, we showed a graded excitability response for the PAS technique and showed that interactions of PAS with motor learning depends on the degree as well as the state of cortical excitability. Rules governing the interactions of brain stimulation techniques and motor learning are important because brain stimulation techniques can be used to modify, improve or disrupt motor adaptation and skill learning with great potential for clinical applications such as facilitation of recovery after stroke. TMS provide us with a unique opportunity to study the rules of plasticity at a systems level, which is a combination of synaptic and nonsynaptic (metaplastic) changes. These changes can occur either in the direction to limit the physiological range of neuronal functioning (homeostatic) or against the direction established state of neurons.

This thesis consists of four chapters. In this thesis we explored associative plasticity of human motor cortex with the use of noninvasive transcranial magnetic stimulation (TMS). Paired Associative Stimulation (PAS) has grown in popularity because of its potential clinical applications. We used TMS techniques in combination with electromyographic (EMG) measurements to study cortical excitability and kinematic features of arm movement. This work has focused in a cohesive approach to answer certain fundamental questions about a) the rules of cortical plasticity and mechanism of PAS, b) the interaction between the state of neuronal excitability at the targeted cortical network and the effects of PAS, and c) translation of these effects into obvious measurable kinematic changes starting from network level changes and ending up with the behavioral modulation of arm movement. First we explored the role of GABAergic intracortical networks and intracortical facilitation on modulation of cortical excitability by showing for the first time that PAS can be conditioned by these inhibitory and facilitatory intracortical networks. Next, using standard indirect approaches utilizing peripheral EMG measures, we showed a graded excitability response for the PAS technique and showed that interactions of PAS with motor learning depends on the degree as well as the state of cortical excitability. Rules governing the interactions of brain stimulation techniques and motor learning are important because brain stimulation techniques can be used to modify, improve or disrupt motor adaptation and skill learning with great potential for clinical applications such as facilitation of recovery after stroke. TMS provide us with a unique opportunity to study the rules of plasticity at a systems level, which is a combination of synaptic and nonsynaptic (metaplastic) changes. These changes can occur either in the direction to limit the physiological range of neuronal functioning (homeostatic) or against the direction established state of neurons.

The principal objective of this investigation is to develop a constitutive model to simulate the hysteresis behaviour of unbonded flexible risers. A new constitutive model for flexible risers is proposed and a procedure for the identification of the related input parameters is developed using a multi-scale approach. The constitutive model is formulated in the framework of an Euler-Bernoulli beam model, with the addition of suitable pressure terms to the generalised stresses to account for the internal and external pressures, and therefore can be efficiently used for large-scale analyses. The developed non-linear relationship between generalised stresses and strains in the beam is based on the analogy between frictional slipping between different layers of a flexible riser and frictional slipping between micro-planes of a continuum medium in nonassociative elasto-plasticity. Hence, a linear elastic relationship is used for the initial response in which no-slip occurs; an onset-slip function is introduced to define the ‘noslip’ domain, i.e. the set of generalised stresses for which no slip occurs; a nonassociative rule with linear kinematic hardening is used to model the full-slip phase. The results of several numerical simulations for a riser of small-length, obtained with a very detailed (small-scale) non-linear finite-element model, are used to identify the parameters of the constitutive law, bridging in this way the small scale of the detailed finite-element simulations with the large scale of the beam model. The effectiveness of the proposed method is validated by the satisfactory agreement between the results of various detailed finite-element simulations for a short riser, subject to internal and external uniform pressures and cyclic bending and tensile loadings, with those given by the proposed constitutive law. The merit of the present constitutive law lies in the capturing of many important aspects of risers structural response, including the energy dissipation due to frictional slip between layers and the hysteretic response. This privilege allows one to accurately study the cyclic behavior of unbonded flexible risers subject to axial tension, bending moment, internal and external pressures.

De modo a satisfazer aspectos de resistência, custo ou conforto, o aperfeiçoamento do desempenho das estruturas é uma meta sempre almejada na Engenharia. Melhorias têm sido alcançadas dado ao crescente uso de materiais compósitos, pois estes apresentam propriedades físicas diferenciadas capazes de atender as necessidades de projeto. Associado ao emprego de compósitos, o estudo da plasticidade demonstra uma interessante alternativa para aumentar o desempenho estrutural ao conferir uma capacidade resistente adicional ao conjunto. Entretanto, alguns problemas podem ser encontrados na análise elastoplástica de compósitos, além das próprias dificuldades inerentes à incorporação de fibras na matriz, no caso de compósitos reforçados. A forma na qual um compósito reforçado por fibras e suas fases têm sua representação e simulação é de extrema importância para garantir que os resultados obtidos sejam compatíveis com a realidade. À medida que se desenvolvem modelos mais refinados, surgem problemas referentes ao custo computacional, além da necessidade de compatibilização dos graus de liberdade entre os nós das malhas de elementos finitos da matriz e do reforço, muitas vezes exigindo a coincidência das referidas malhas. O presente trabalho utiliza formulações que permitem a representação de compósitos reforçados com fibras sem que haja a necessidade de coincidência entre malhas. Além disso, este permite a simulação do meio e do reforço em regime elastoplástico com o objetivo de melhor estudar o real comportamento. O modelo constitutivo adotado para a plasticidade é o de von Mises 2D associativo com encruamento linear positivo e a solução deste modelo foi obtida através de um processo iterativo. A formulação de elementos finitos posicional é adotada com descrição Lagrangeana Total e apresenta as posições do corpo no espaço como parâmetros nodais. Com o intuito de averiguar a correta implementação das formulações consideradas, exemplos para validação e apresentação das funcionalidades do código computacional desenvolvido foram analisados. / In order to satisfy strength, cost or comfort aspects, the improvement of the structural performance is a mark always desired in Engineering. Progress has been achieved due to the use of composite materials, because these present different physical properties capable of attending the needs of projects. Associated to the use of composites, the study of plasticity presents an interesting alternative to raise the structural performance by providing an additional resistance capability to the set. However, some problems may be found in the elastoplastic analysis of composites, besides the inherent difficulties of fiber insertion in the matrix, in the case of fiber reinforced composites. The way that the fiber reinforced composite and its phases are represented and simulated are of extreme importance to assure that the obtained results are compatible to the reality. As more refined models are developed, problems arise concerning computational cost and the need of compatibilization of the degrees of freedom between the nodes of the mashes of the matrix and the reinforcement, many times demanding the coincidence of the refered meshes. The present work utilizes formulations that allow the representation of the fiber reinforced composite without the need of mesh coincidence. It also enables the simulation of the medium and the reinforcement at the elastoplastic regime, with the objective study better the real behaviour. The constitutive model for the plasticity adopted is the von Mises 2D associative with a positive linear hardening and the solution of this model was obtained through an iterative procedure. The positional finite element method is adopted with a Total Lagrangean description and uses the positons of the body in space as nodal parameters. With the aim to ensure the correct implementation of the considered formulations, examples for validation and presentation of the functionalities of the developed computacional code were analized.

De modo a satisfazer aspectos de resistência, custo ou conforto, o aperfeiçoamento do desempenho das estruturas é uma meta sempre almejada na Engenharia. Melhorias têm sido alcançadas dado ao crescente uso de materiais compósitos, pois estes apresentam propriedades físicas diferenciadas capazes de atender as necessidades de projeto. Associado ao emprego de compósitos, o estudo da plasticidade demonstra uma interessante alternativa para aumentar o desempenho estrutural ao conferir uma capacidade resistente adicional ao conjunto. Entretanto, alguns problemas podem ser encontrados na análise elastoplástica de compósitos, além das próprias dificuldades inerentes à incorporação de fibras na matriz, no caso de compósitos reforçados. A forma na qual um compósito reforçado por fibras e suas fases têm sua representação e simulação é de extrema importância para garantir que os resultados obtidos sejam compatíveis com a realidade. À medida que se desenvolvem modelos mais refinados, surgem problemas referentes ao custo computacional, além da necessidade de compatibilização dos graus de liberdade entre os nós das malhas de elementos finitos da matriz e do reforço, muitas vezes exigindo a coincidência das referidas malhas. O presente trabalho utiliza formulações que permitem a representação de compósitos reforçados com fibras sem que haja a necessidade de coincidência entre malhas. Além disso, este permite a simulação do meio e do reforço em regime elastoplástico com o objetivo de melhor estudar o real comportamento. O modelo constitutivo adotado para a plasticidade é o de von Mises 2D associativo com encruamento linear positivo e a solução deste modelo foi obtida através de um processo iterativo. A formulação de elementos finitos posicional é adotada com descrição Lagrangeana Total e apresenta as posições do corpo no espaço como parâmetros nodais. Com o intuito de averiguar a correta implementação das formulações consideradas, exemplos para validação e apresentação das funcionalidades do código computacional desenvolvido foram analisados. / In order to satisfy strength, cost or comfort aspects, the improvement of the structural performance is a mark always desired in Engineering. Progress has been achieved due to the use of composite materials, because these present different physical properties capable of attending the needs of projects. Associated to the use of composites, the study of plasticity presents an interesting alternative to raise the structural performance by providing an additional resistance capability to the set. However, some problems may be found in the elastoplastic analysis of composites, besides the inherent difficulties of fiber insertion in the matrix, in the case of fiber reinforced composites. The way that the fiber reinforced composite and its phases are represented and simulated are of extreme importance to assure that the obtained results are compatible to the reality. As more refined models are developed, problems arise concerning computational cost and the need of compatibilization of the degrees of freedom between the nodes of the mashes of the matrix and the reinforcement, many times demanding the coincidence of the refered meshes. The present work utilizes formulations that allow the representation of the fiber reinforced composite without the need of mesh coincidence. It also enables the simulation of the medium and the reinforcement at the elastoplastic regime, with the objective study better the real behaviour. The constitutive model for the plasticity adopted is the von Mises 2D associative with a positive linear hardening and the solution of this model was obtained through an iterative procedure. The positional finite element method is adopted with a Total Lagrangean description and uses the positons of the body in space as nodal parameters. With the aim to ensure the correct implementation of the considered formulations, examples for validation and presentation of the functionalities of the developed computacional code were analized.