La motivació de la tesis deriva en el interès de la indústria aeronàutica a explotar, per mitjà d'un disseny adaptat, la utilització del gir d'esquerda per protegir els reforços situats davant una esquerda que s'està propagant en la xapa d'una estructura integral. L'objectiu principal és l'avaluació i predicció del gir d'esquerda en situacions de càrrega pròximes a Mode I, proporcionant una eina de modelització i un criteri confident. L'entorn industrial sota el qual s'ha realitzat aquest treball requereix una predicció ràpida del comportament estructural proporcionant informació útil als constructors. Per aquest motiu la predicció del gir d'esquerda s'ha investigat utilitzant la teoria linear elàstica de la mecànica de la fractura (LEFM) i l'anàlisi amb elements finits (FEA).Durant aquest treball s'ha demostrat la importància i necessitat de caracteritzar el camp de tensions a la punta de l'esquerda amb el factor d'intensitat de tensió (SIF) conjuntament amb un segon paràmetre. La tensió uniforme, no singular, normal a la línea de l'esquerda i dependent en la geometria i càrrega de la proveta, es a dir la tensió T, ha estat seleccionada com a segon paràmetre per dur a terme les prediccions del gir d'esquerda.El criteri més desenvolupat per predir el gir d'esquerda en situacions pròximes a Mode I és el proposat per Buczek, Herakovich, Boone et al., anomenat WEFO en la tesis. Aquest combina el criteri de tensió principal màxima amb la tensió T i considera efectes d'anisotropia. LEFM s'ha utilitzat també en la predicció del gir d'esquerda sota càrregues quasi estàtiques controlant en tot moment la plastificació del lligament.En la investigació d'eines de modelització/simulació s'ha tingut en compte les capacitats d'aquestes en el camp de la mecànica de la fractura, de disseny, d'implementació, així com la complexitat d'ús. Tot i que hi ha un gran ventall de Softwares que compleixen els requeriments assenyalats, només aquells que es trobaven a l'abast de l'autor s'han analitzat. StressCheck ha estat escollit com a resultat de la investigació. L'avaluació de la propagació de l'esquerda en provetes compactes en tensió (CT) i en provetes amb dos elements reforçants (2SP) sota els règims de Paris i Forman ha estat satisfactòria.Un pas important ha estat la implementació de la capacitat d'extracció de la tensió T. La demostració de la fiabilitat en el seu càlcul s'ha demostrat mitjançant resultats en la literatura i càlculs analítics en provetes de doble biga en volada (DCB). Un aspecte a tenir en compte és la importància en realitzar anàlisis no linears geomètrics pel càlcul del SIF i la tensió T.Prediccions en la trajectòria de l'esquerda s'han realitzat en base amb els resultats obtinguts en l'estudi de modelització. La millor trajectòria s'ha predit per mitjà del criteri WEFO. No obstant, les diferents trajectòries obtingudes per una esquerda propagant-se en la direcció T-L o L-T no són comparables amb els resultats experimentals.Aquestes deficiències estan relacionades en la definició del punt d'inestabilitat de l'esquerda. Algunes referències posen de manifest que hi ha experiències on l'esquerda es comporta de forma estable tot i mostrar T > 0. Per un altre banda, els criteris WEF i WEFO defineixen la inestabilitat dependent d'una distancia específica del material, rc. Però la seva definició no és única i no existeix cap acord sobre el seu càlcul.L'autor proposa un criteri derivat dels criteris existents i basant-se en els assajos, simulacions i resultats obtinguts. Aquest deriva del treball de Pettit i la tensió T normalitzada, TR, proposada per Pook. La fiabilitat d'aquest criteri es demostra amb la proveta DCB. Les prediccions de la trajectòria de l'esquerda en la proveta cruciforme no són tant satisfactòries. Tot i així, s'ha d'accentuar que el criteri desenvolupat proporciona la predicció més acurada. / The motivation of this thesis started from the interest of aeronautical industry to exploit the utilization of crack turning to protect stiffeners in front of an approaching skin-crack in integral structures by a tailored design. The main objective was to assess and predict crack turning under nearly Mode I situations on structures that reproduce aeronautical conditions by providing a modelling tool and a reliable criterion. The industrial environmental in which this work has been carried out requires a fast prediction of the structural behaviour to provide useful inputs to aircraft designers. It is for this reason that the crack turning prediction was investigated by means of LEFM and FEA. During this work it has been shown the importance and necessity of a second parameter for the characterisation of the stress field at the crack tip besides the SIF. Among the different proposed second parameters, the uniform non-singular stress, normal to the crack line and dependent on the type of loading and specimen geometry, i.e. the T-stress, was selected for crack turning predictions due to both calculation simplicity and its independence of the crack tip distance. The most developed criterion for crack turning predictions near Mode I loading is the criterion proposed by Buczek, Herakovich and Boone et al., called the WEFO-criterion. This is the Maximal Principal Stress criterion implemented with the T-stress and taking into account anisotropic effects. A challenge of this thesis was to overcome the lack of prediction on crack turning provided by this last criterion.Although the validity of LEFM is restricted, it was applied for the prediction of crack turning for quasi-static loading while paying attention to possible plastification. A screening of existent commercial and non commercial tools was carried out in respect to their fracture mechanics capabilities, their design abilities, implementation as well as their complexity. Although, there are many software possibilities, only those within the reach of the author were evaluated. This resulted in the selection of the commercial tool StressCheck®. The assessment of crack propagation on compact tension and two stringer specimens governed by the Paris and Forman regimes was satisfactory compared with experimental results using the material data from simple standard specimens.An important step was the implementation of the T-stress extraction facility in the tool and the evidence of its reliability. The latter was proved by literature and analytical calculations on DCB specimens. An important finding was the importance to perform geometric non-linear analyses for computing SIF and T-stress to find values comparable with literature data and analytical calculations. Taking into account the results obtained on the modelling study, crack path predictions were performed. The best prediction by means of existing criteria was reached by the WEFO-criterion. Different crack paths were predicted for a crack propagating in T-L or L-T directions. However, these predictions were not satisfactorily reliable: the point in the crack path where crack turning should take place was not predicted adequately. Additionally, the crack paths were similar for T L and L-T directions. These deficiencies are related with the definition of the crack path instability. Some literature results have shown that in some experiences the crack behaved in a stable manner even if T > 0. Moreover, WEF and WEFO criteria define crack instability to be related with a material specific distance, rc, but, there is no agreement about its definition. Based on tests, simulation results and observations noted during this work, a compilation criterion was proposed. This is based on the work of Pettit and the normalised T-stress, TR, proposed by Pook. Its reliability was successfully proved on the DCB. The crack path predictions on the CFS were not as satisfactory. But even at its worst the developed criterion was the most accurate.

A análise da vida em fadiga em amplitude variável associada à corrosão é bastante complexa, devido a combinações entre as interações eletroquímicas ocorridas, tendo em vista a exposição da frente da trinca à névoa salina somada aos efeitos deletérios do carregamento de amplitude variável. Esta combinação de efeitos ainda não é modelada matematicamente, e os dados experimentais observados em outros trabalhos ainda geram hipóteses inconclusivas. Neste contexto, este estudo tem como objetivo avaliar a vida em fadiga da liga 7475 T7351, utilizando carregamento de voos simulados TWIST e FALSTAFF e submetida a névoa salina a 3,5 e 5%. Foram executados ensaios eletroquímicos, para verificar o potencial de corrosão dessa liga e análise microestrutural para verificar a formação de pites. O crescimento de trinca por fadiga com carregamento de voo foi simulado, sem considerar os efeitos do meio, nos programas NASGRO 4.0, AFGROW e CRACK 2000, com parâmetros calibrados no NASGRO 4.0, no intuito de verificar quais modelos matemáticos e programas descrevem a curva experimental em ar com menor erro. Os resultados mostraram que os programas NASGRO 4.0 e AFGROW se aproximaram com menor erro à curva experimental em ar. Os ensaios de crescimento de trinca por fadiga foram executados com carregamento de voos simulados e os parâmetros para o sistema de geração de névoa salina foram determinados experimentalmente. As curvas de crescimento de trinca e taxa de propagação em névoa salina foram comparadas às curvas em ar, as quais também foram obtidas sob as mesmas condições de carregamento. Observou-se que para os ensaios em névoa salina, a trinca rompeu com maior número de voos em relação às curvas em ar. / The corrosion fatigue life analysis under variable amplitude loading is very complex due electrochemistry effects in crack tip exposed to salt spray matched to harmful effects of amplitude variable loading. This effects combination is not modeling mathematically actually, and the experimentally data observed in other research generates inconclusive theories. In this context, the main aim of this research to evaluate the corrosion fatigue life of 7475 T7351 under spectrum loading TWIST and FALSTAFF and exposed to 3.5% and 5% NaCl. Electrochemistry test were performed to verify the corrosion potential followed of microstructural analysis by SEM, to verify the pitting on 7475 T7351 alloy. The fatigue crack growth was simulated, without environmental effects, using the codes NASGRO, AFGROW and CRACK 2000, the simulation parameters was fit on NASGRO 4.0, to analyze whether the crack growth models and codes are able to represent properly the air experimental crack growth data. The results showed that NASGRO 4.0 and AFGROW codes described the fatigue crack growth in air with less error. The fatigue crack growth tests were performed under spectrum loadings and the parameters to obtain salt spray were determined experimentally. The corrosion fatigue crack growth and rate data were compared to air data, under the same loading conditions. The corrosion fatigue tests showed that the specimens cracked under a larger number of flights than specimens in air.

A análise da vida em fadiga em amplitude variável associada à corrosão é bastante complexa, devido a combinações entre as interações eletroquímicas ocorridas, tendo em vista a exposição da frente da trinca à névoa salina somada aos efeitos deletérios do carregamento de amplitude variável. Esta combinação de efeitos ainda não é modelada matematicamente, e os dados experimentais observados em outros trabalhos ainda geram hipóteses inconclusivas. Neste contexto, este estudo tem como objetivo avaliar a vida em fadiga da liga 7475 T7351, utilizando carregamento de voos simulados TWIST e FALSTAFF e submetida a névoa salina a 3,5 e 5%. Foram executados ensaios eletroquímicos, para verificar o potencial de corrosão dessa liga e análise microestrutural para verificar a formação de pites. O crescimento de trinca por fadiga com carregamento de voo foi simulado, sem considerar os efeitos do meio, nos programas NASGRO 4.0, AFGROW e CRACK 2000, com parâmetros calibrados no NASGRO 4.0, no intuito de verificar quais modelos matemáticos e programas descrevem a curva experimental em ar com menor erro. Os resultados mostraram que os programas NASGRO 4.0 e AFGROW se aproximaram com menor erro à curva experimental em ar. Os ensaios de crescimento de trinca por fadiga foram executados com carregamento de voos simulados e os parâmetros para o sistema de geração de névoa salina foram determinados experimentalmente. As curvas de crescimento de trinca e taxa de propagação em névoa salina foram comparadas às curvas em ar, as quais também foram obtidas sob as mesmas condições de carregamento. Observou-se que para os ensaios em névoa salina, a trinca rompeu com maior número de voos em relação às curvas em ar. / The corrosion fatigue life analysis under variable amplitude loading is very complex due electrochemistry effects in crack tip exposed to salt spray matched to harmful effects of amplitude variable loading. This effects combination is not modeling mathematically actually, and the experimentally data observed in other research generates inconclusive theories. In this context, the main aim of this research to evaluate the corrosion fatigue life of 7475 T7351 under spectrum loading TWIST and FALSTAFF and exposed to 3.5% and 5% NaCl. Electrochemistry test were performed to verify the corrosion potential followed of microstructural analysis by SEM, to verify the pitting on 7475 T7351 alloy. The fatigue crack growth was simulated, without environmental effects, using the codes NASGRO, AFGROW and CRACK 2000, the simulation parameters was fit on NASGRO 4.0, to analyze whether the crack growth models and codes are able to represent properly the air experimental crack growth data. The results showed that NASGRO 4.0 and AFGROW codes described the fatigue crack growth in air with less error. The fatigue crack growth tests were performed under spectrum loadings and the parameters to obtain salt spray were determined experimentally. The corrosion fatigue crack growth and rate data were compared to air data, under the same loading conditions. The corrosion fatigue tests showed that the specimens cracked under a larger number of flights than specimens in air.

The lifetime of plastic pipes for water supply and other applications is demanded to exceed at least 50 years. Such a long lifetime is difficult to prove by standard testing methods like the hydrostatic pres-sure test. However, it is possible to calculate an estimation of the lifetime, as the most frequently oc-curring mechanism of failure of plastic pipes is the creep crack propagation and subsequent failure. The method is based on describing the crack propagation by parameters of the linear-elastic fracture mechanics. An important part of this method is a finite element simulation of crack propagation in a pipe loaded by various types of loads. Residual stress, a side product of solidification after extrusion, is one of these loads. This thesis begins with an introductory part and literature review of the relevant topics – most of all the typical material properties of the pipe materials, mechanisms of failure, methods of residual stress determination suitable for plastic pipes and their results, methods of testing the materials and calculating lifetime. After the introduction, the problems to be solved are defined. The description of the residual stress state in the wall of various plastic pipes is the main topic. Both tangential (hoop) and axial residual stress in pipes of different dimensions and materials are determined using a combination of experiments and numerical simulations. Also, a simplified method of tangential residual stress is designed that can provide a sufficiently precise description of the tangential resid-ual stress state and is not difficult to carry out. A method to include the residual stress in the lifetime calculations and its influence on the lifetime is also dealt with. Apart from residual stress, the influence of soil loads in case of a buried pipe is studied. The residual stress can also influence the experimental determination of crack growth rate. If the CRB (cracked round bar) test is used to measure the crack growth rate, the crack can propagate asymmetrically due to the presence of residual stress in the specimens, which affects the results. Based on a finite element simulation of crack propagation in a CRB specimen, the severity of the influence is assessed.