The Eshelby-Stroh formalism is used to analyze the generalized plane strain quasistatic deformations of an anisotropic, linear elastic laminated plate.The formulation admits any set of boundary conditions on the edges and long faces of the laminate. Each lamina may be generally anisotropic with as many as 21 independent elastic constants. The three dimensional governing differential equations are satisfied at every point of the body.The boundary conditions and interface continuity conditions are satisfied in the sense of a Fourier series. Results are presented for three sample problems to illustrate the versatility of the method. The solution methodology is generalized to study the deformation of finite rectangular plates subjected to arbitrary boundary conditions. The effect of truncation of the series on the accuracy of the solution is carefully examined. Results are presented for thick plates with two opposite edges simply supported and the other two subjected to eight different boundary conditions. The results are compared with three different plate theories.The solution exhibits boundary layers at the edges except when they are simply supported. Results are presented in tabular form for different sets of edge boundary conditions to facilitate comparisons with predictions from various plate theories and finite element formulations. The Eshelby-Stroh formalism is also extended to study the generalized plane deformations of piezothermoelastic laminated plates. The method is capable of analyzing laminated plates with embedded piezothermoelastic patches. Results are presented for a thermoelastic problem and laminated elastic plates with piezothermoelastic lamina attached to its top surface. When a PZT actuator patch is attached to an elastic cantilever substrate, it is observed that the transverse shear stress and transverse normal stress are very large at the corners of the PZT-substrate interface. This dissertation is organized in the form of three self-contained chapters each of which will be submitted for possible publication in a journal. / Ph. D.

Neste trabalho foram determinadas as condições para a soldagem de chapas grossas de aço carbono ASTM A36 com aço baixo-liga temperado e revenido ASTM A514 Grau Q empregando-se o processo arame tubular. Para tanto foram soldadas diversas peças de testes com o intuito de se avaliar as condições mais adequadas de preparação e soldagem de juntas dissimilares destes materiais. A preparação foi realizada por meio de corte térmico. A temperatura de preaquecimento foi determinada através de modelos matemáticos, pelas recomendações das normas AWS D1.1 e DIN EN 1011-2 sendo posteriormente avaliada por intermédio do teste de soldabilidade tipo CTS Controlled Thermal Severity. Os parâmetros de soldagem foram determinados a partir da qualificação de um procedimento de soldagem, conforme a norma AWS D1.1. Foram avaliadas as consequências do emprego do tratamento térmico de alívio de tensões após soldagem (TTAT), pelos testes de dureza Vickers e impacto Charpy. A caracterização microestrutural foi realizada por meio de microscopia óptica e microscopia eletrônica de varredura. A caracterização das superfícies oxicortadas evidenciou os efeitos da descarbonetação e também da carbonetação. A temperatura de pré-aquecimento de 160°C determinada por meio da metodologia recomendada pelas normas AWS D1.1 e DIN EN 1011-2 mostrou-se satisfatória nos testes de soldabilidade. Foi possível a qualificação do procedimento de soldagem (EPS) com requisitos de impacto na condição \"como soldado\", porém na condição \"após TTAT\", os baixos valores de tenacidade obtidos no metal de solda, inferiores a 27J, não permitiram a qualificação de uma EPS com requisitos de impacto. Foi observada a ausência de trincas intergranulares tanto na zona afetada pelo calor quanto no metal de base ASTM A514, porém foi revelada a presença de microfases frágeis no metal de solda na condição \"como soldado\", especificamente na região da raiz, intensificadas pelo efeito da diluição. O aumento do teor de carbono na raiz, a presença de microfases frágeis, a grande fração de grãos colunares e de ferrita proeutetóide combinados com a baixa fração de ferrita acicular no metal de solda contribuíram para os baixos valores de tenacidade encontrados na condição \"como soldado\". Após o TTAT observou-se uma queda acentuada da tenacidade, inferior a 27J, do metal de solda devido à fragilização provocada pela precipitação e coalescimento de carbonetos de ferro. / In this work it was determined the conditions for welding thick plate of ASTM A36 carbon steel with quenched and tempered low-alloy steel ASTM A514 Grade Q employing the Flux Cored Arc Welding (FCAW) process. For that several coupons of tests were welded in order to evaluate the most appropriate conditions for preparation and welding of these dissimilar materials. The preparation was carried out by means of thermal cutting. The preheat temperature was determined by mathematical models, the recommendations of standards AWS D1.1 and DIN EN 1011-2 being further evaluated using the CTS type weldability test - Controlled Thermal Severity. The welding parameters were determined by qualifying a welding procedure (WPS), according to AWS D1.1. The effects of post weld heat treatment (PWHT) were evaluated by Vickers hardness tests and Charpy. Microstructural characterization was performed by optical microscopy and scanning electron microscopy. The characterization of oxi-fuel cut surfaces showed the effects of decarburization and also carburization. The preheating temperature of 160 °C determined by calculation and the methodology recommended by the standards was satisfactory in weldability tests. It was possible qualification of welding procedure (WPS) with impact requirements in the condition \"as welded\" but the condition \"after PWHT\" low toughness values obtained in the weld metal, less than 27J, did not allow to qualify a WPS with toughness requirements. The absence of intergranular cracking was observed in both the heat affected zone as the base metal ASTM A514, but the presence of fragile microphase in the weld metal was revealed in the weld metal in the condition \"as welded\" specifically in the root region, intensified by the effect of dilution. The carbon increase at root, the presence of fragile microphase, the large fraction of columnar grains and proeutectoid ferrite combined with the low fraction of acicular ferrite in the weld metal contributed to the low toughness values found in the condition \"as welded \". After PWHT there was a sharp drop in toughness, less than 27J, in the weld metal due to embrittlement caused by precipitation and coarsening of iron carbides.

Neste trabalho foram determinadas as condições para a soldagem de chapas grossas de aço carbono ASTM A36 com aço baixo-liga temperado e revenido ASTM A514 Grau Q empregando-se o processo arame tubular. Para tanto foram soldadas diversas peças de testes com o intuito de se avaliar as condições mais adequadas de preparação e soldagem de juntas dissimilares destes materiais. A preparação foi realizada por meio de corte térmico. A temperatura de preaquecimento foi determinada através de modelos matemáticos, pelas recomendações das normas AWS D1.1 e DIN EN 1011-2 sendo posteriormente avaliada por intermédio do teste de soldabilidade tipo CTS Controlled Thermal Severity. Os parâmetros de soldagem foram determinados a partir da qualificação de um procedimento de soldagem, conforme a norma AWS D1.1. Foram avaliadas as consequências do emprego do tratamento térmico de alívio de tensões após soldagem (TTAT), pelos testes de dureza Vickers e impacto Charpy. A caracterização microestrutural foi realizada por meio de microscopia óptica e microscopia eletrônica de varredura. A caracterização das superfícies oxicortadas evidenciou os efeitos da descarbonetação e também da carbonetação. A temperatura de pré-aquecimento de 160°C determinada por meio da metodologia recomendada pelas normas AWS D1.1 e DIN EN 1011-2 mostrou-se satisfatória nos testes de soldabilidade. Foi possível a qualificação do procedimento de soldagem (EPS) com requisitos de impacto na condição \"como soldado\", porém na condição \"após TTAT\", os baixos valores de tenacidade obtidos no metal de solda, inferiores a 27J, não permitiram a qualificação de uma EPS com requisitos de impacto. Foi observada a ausência de trincas intergranulares tanto na zona afetada pelo calor quanto no metal de base ASTM A514, porém foi revelada a presença de microfases frágeis no metal de solda na condição \"como soldado\", especificamente na região da raiz, intensificadas pelo efeito da diluição. O aumento do teor de carbono na raiz, a presença de microfases frágeis, a grande fração de grãos colunares e de ferrita proeutetóide combinados com a baixa fração de ferrita acicular no metal de solda contribuíram para os baixos valores de tenacidade encontrados na condição \"como soldado\". Após o TTAT observou-se uma queda acentuada da tenacidade, inferior a 27J, do metal de solda devido à fragilização provocada pela precipitação e coalescimento de carbonetos de ferro. / In this work it was determined the conditions for welding thick plate of ASTM A36 carbon steel with quenched and tempered low-alloy steel ASTM A514 Grade Q employing the Flux Cored Arc Welding (FCAW) process. For that several coupons of tests were welded in order to evaluate the most appropriate conditions for preparation and welding of these dissimilar materials. The preparation was carried out by means of thermal cutting. The preheat temperature was determined by mathematical models, the recommendations of standards AWS D1.1 and DIN EN 1011-2 being further evaluated using the CTS type weldability test - Controlled Thermal Severity. The welding parameters were determined by qualifying a welding procedure (WPS), according to AWS D1.1. The effects of post weld heat treatment (PWHT) were evaluated by Vickers hardness tests and Charpy. Microstructural characterization was performed by optical microscopy and scanning electron microscopy. The characterization of oxi-fuel cut surfaces showed the effects of decarburization and also carburization. The preheating temperature of 160 °C determined by calculation and the methodology recommended by the standards was satisfactory in weldability tests. It was possible qualification of welding procedure (WPS) with impact requirements in the condition \"as welded\" but the condition \"after PWHT\" low toughness values obtained in the weld metal, less than 27J, did not allow to qualify a WPS with toughness requirements. The absence of intergranular cracking was observed in both the heat affected zone as the base metal ASTM A514, but the presence of fragile microphase in the weld metal was revealed in the weld metal in the condition \"as welded\" specifically in the root region, intensified by the effect of dilution. The carbon increase at root, the presence of fragile microphase, the large fraction of columnar grains and proeutectoid ferrite combined with the low fraction of acicular ferrite in the weld metal contributed to the low toughness values found in the condition \"as welded \". After PWHT there was a sharp drop in toughness, less than 27J, in the weld metal due to embrittlement caused by precipitation and coarsening of iron carbides.

A hybrid method is presented for the analysis of layers, plates, and multi-layered systems consisting of isotropic and linear elastic materials. The problem is formulated for the general case of a multi-layered system using a total potential energy formulation and employing the layerwise laminate theory of Reddy. A one-dimensional finite element model is used for the analysis of the multi-layered system through its thickness, and integral Fourier transforms are used to obtain the exact solution for the in-plane problem. Explicit expressions are obtained for the fundamental solution of the typical infinite layer, which are applied in the two-dimensional boundary integral equation model to produce the integral representation of the solution. The boundary integral equation model is two-dimensional, displacement-based and assumes piecewise continuous distribution of the displacement components through the system's thickness. The developed model describes the three-dimensional displacement field, the stress field, the strains and the interlaminar stresses over the entire domain of the problem as continuous functions of the position. This detailed three-dimensional analysis is achieved by incorporating only contour integrals. The boundary integral equations are discretized using the boundary element method and a numerical model is developed for the single numerical layer (element). This model is extended to the case of a multilayered system by introducing appropriate continuity conditions at the interfaces between the layers (firmly bonded layers, or separation, slip and friction between the layers). Assembly of the element matrices yields the global system of equations, which can be solved via iterative techniques. In addition, numerical techniques are developed for the evaluation of the boundary and domain integrals involved in the construction of the element matrices. The singular boundary integrals are computed using a special coordinate transformation, along with a subdivision of the boundary element and a transformation of the Gauss points. The domain integrals (regular, singular or near-singular) are transformed to regular definite integrals along the boundary through a semi-analytical approach. The proposed method provides a simple, efficient, and versatile model for a three-dimensional analysis of thick plates or multilayered systems. It can also be used to study plates resting on elastic foundations or plates with internal supports. The proposed method can be applied in an obvious manner to anisotropic materials and vibration problems. / Ph. D.