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Material failure plays an important role in human life. By investigating the failure mechanisms, people can more precisely predict the failure conditions to develop new products, to enhance product performances, and most importantly, to save lives. This work consists of three parts corresponding to three different failure mechanisms in metals, i.e., the localized necking in sheet metals, the bifurcation in bulk and sheet metals, and the ductile fracture induced by the void nucleation, growth, and coalescence. The objective of the first part is to model the localized necking in anisotropic sheet metals to demonstrate that localized geometric softening at a certain stage of deformation rather than the initial defects is the main cause of localized necking. The sheet is assumed to have no initial geometric defects. The deformation process is divided into two stages. The critical strains for a neck to form are obtained from a Considère-type criterion. The defect ratio at the neck formation is obtained using an energy-based approach. The neck evolution is considered. A novel failure criterion is proposed. Two types of necks are fond to be most competitive to cause material failure during continued deformation. The forming limit curves are hereby found to exhibit different characteristics in different region. The predicted forming limit curve for 2036-T4 aluminum is found to fit with the experimental results well. The sheet thickness, the strain hardening behavior, and plastic anisotropy are found to affect the sheet metal formability. More realistic yield criterions and strain hardening behaviors can be implemented into the proposed model. This part provides an alternative approach to modeling the localized necking in anisotropic sheet metals. The objective of the second part is to model the bifurcation in anisotropic bulk and sheet metals to couple plastic anisotropy and the strain hardening/softening behavior and also to identify different bifurcation modes in sheet metals. The material is assumed to exhibit a non-linear strain hardening/softening behavior and to obey the Hill-type Drucker-Prager yield criterion along with a non associated flow rule. The constitutive relations and the conditions for bifurcation in bulk and sheet metals are derived. The internal friction coefficient, plastic anisotropy, the terms introduced by the co-rotational stress rates, and the terms introduced by the stress resultant equilibrium are found to affect the onset of bifurcation. Two bifurcation modes are found to exist in sheet metals. More realistic material properties can be implemented into the proposed model. This part provides an applicable approach to modeling the bifurcation in anisotropic bulk and sheet metals. The objective of the third part is to derive the constitutive relations for porous metals using generalized Green’s functions to better understand the micromechanism of the ductile fracture in metals. The porous metals are assumed to consist of an isotropic, rigid-perfectly plastic matrix and numerous periodically distributed voids and to be subject to non-equal biaxial or triaxial extension. Two types of hollow cuboid RVEs are employed represent the typical properties of porous metals with cylindrical and spherical voids. The microscopic velocity fields are obtained using generalized Green’s functions. The constitutive relations are derived using the kinematic approach of the Hill-Mandel homogenization theory and the limit analysis theory. The macroscopic mean stress, the porosity, the unperturbed velocity field, and the void distribution anisotropy are found to affect the macroscopic effective stress and the microscopic effective rate of deformation field. The proposed model is found to provide a rigorous upper bound. More complicated matrix properties (e.g., plastic anisotropy) and void shapes can be implemented into the proposed model. This part provides an alternative approach to deriving the constitutive relations for porous metals.

O presente trabalho visa o estudo e avaliação de diversos modelos de falha através de ensaios experimentais e análises numéricas. A caracterização do material foi feita por meio de ensaios de tração de espécimes com e sem entalhe e de cisalhamento, para prover dados em uma ampla faixa de triaxialidade. A calibração dos parâmetros necessários para cada modelo de falha ocorreu através da obtenção das componentes de tensões e de deformações na região de ruptura, obtidas por meio de análises numéricas destes ensaios. O critério da máxima deformação plástica equivalente, modelo de dano de Johnson-Cook e critério da máxima tensão cisalhante foram aplicados em um caso de impacto em pára-choque. Diversos ensaios de impacto foram realizados até a que se atingisse a ruptura satisfatória do componente. Os ensaios foram modelados em elementos finitos, através do programa comercial LS-Dyna®, sendo que os modelos de falha calibrados foram aplicados para o ensaio onde se ocorreu ruptura. Houve boa concordância entre os resultados obtidos numericamente e experimentalmente, respeitadas as observações realizadas acerca da especificidade deste caso de impacto em baixa velocidade. / The aim of the present work is an assessment of several fracture models through experiments and numerical simulations. Tensile tests with notched and unnotched specimens were carried out to provide the material characterization in a wide range of stress triaxiality. The calibration of the parameters required by the fracture models was enabled by the parallel numerical simulation of the tensile tests, providing information on the stress and strain components at the failure locus. The constant equivalent strain criterion, the Johnson-Cook failure model and the maximum shear stress failure criterion were applied in a bumper beam impact case study. Several low speed impact tests were carried out in order to result in the components rupture. Numerical simulation of the experiments was performed using commercial finite element code LS-Dyna®. Good correlation of experiments and numerical simulations was achieved when considering this particular low speed case study.

Este trabalho apresenta o desenvolvimento de procedimentos para a medição de curvas de resistência J-R em espécimes SE(T) usando os métodos de flexibilidade elástica e método n. Uma descrição da metodologia sobre a qual J e o crescimento de trinca são medidos estabelece o contexto para determinar dados de resistência ao rasgamento dúctil com o emprego de curvas carga vs. deslocamento obtidas experimentalmente. A extensiva matriz de análises em estado plano de deformações de espécimes SE(T) complementada, em algumas geometrias selecionadas, com análises 3D permite a determinação numérica da flexibilidade adimensional, u, e fatores nJ e Y para uma grande faixa de proporções geométricas e propriedades de material características de aços estruturais e para dutos. Ensaios laboratoriais de um aço API 5L X60 à temperatura ambiente usando espécimes SE(T) carregados por pinos com entalhes laterais (side-grooves) fornecem os dados de carga e deslocamento necessários para validar o procedimento para determinar curvas de resistência do material. Os resultados apresentados nesta tese fornecem uma base de soluções para o futuro estabelecimento de norma padronizada para a medição experimental de curvas J-R em corpos de prova SE(T) mecanicamente similares a dutos com defeitos bidimensionais. / This work provides an estimation procedure to determine J-resistance curves for pinloaded and clamped SE(T) fracture specimens using the unloading compliance technique and the n-method. A summary of the methodology upon which J and crack extension are derived sets the necessary framework to determine crack resistance data from the measured load vs. displacement curves. The extensive plane-strain analyses and key 3D results enable numerical estimates of the nondimensional compliance, u , and parameters n and Y for a wide range of specimen geometries and material properties characteristic of structural and pipeline steels. Laboratory testings of an API 5L X60 steel at room temperature using pin-loaded SE(T) specimens with side-grooves provide the load-displacement data needed to validate the estimation procedure for measuring the crack growth resistance curve for the material. The results presented in the this thesis produce a representative set of solutions which lend further support to develop standard test procedures for constraint-designed SE(T) specimens applicable in measurements of crack growth resistance for pipelines.

L'alliage d'aluminium 6061-T6 a été retenu pour la fabrication du caisson-coeur du futur réacteur expérimental Jules Horowitz (RJH). L'objectif de cette thèse est de comprendre et modéliser le comportement et l'endommagement de cet alliage en traction et en ténacité, ainsi que l'origine de l'anisotropie d'endommagement. Il s'agit de faire le lien entre la microstructure et l'endommagement du matériau à l'aide d'une approche micromécanique. Pour ce faire, la microstructure de l'alliage, la structure granulaire et es précipités grossiers ont été caractérisés en utilisant des analyses surfaciques (Microscopie Électronique à Balayage) et volumiques (tomographie/laminographie X). Le mécanisme d'endommagement a été identifié par des essais de traction sous MEB in-situ, des essais de tomographie X ex-situ et des essais de laminographie X in-situ pour différents taux de triaxialité. Ces observations ont notamment permis de montrer que la germination des cavités sur les précipités grossiers de type Mg2Si est plus précoce que sur les intermétalliques au fer. Le scénario identifié et les grandeurs mesurées ont ensuite permis de développer un modèle d'endommagement couplé, basé sur l'approche locale de la rupture, de type GTN intégrant la germination, la croissance et la coalescence des cavités. Le lien entre l'anisotropie d'endommagement et de forme/répartition des précipités a pu être montré. Cette anisotropie microstructurale modifie les mécanismes : Pour une sollicitation dans le sens long l'endommagement est majoritairement intergranulaire alors que dans le sens travers on observe un endommagement mixte intergranulaire et intragranulaire. La prise en compte des mesures de l'endommagement dans la simulation a permis d'expliquer l'anisotropie d'endommagement. Ce travail servira de référence pour les études futures qui seront menées sur le matériau irradié. / The AA6061-T6 aluminum alloy was chosen as the material for the core vessel of the future Jules Horowitz testing reactor (JHR). The objective of this thesis is to understand and model the tensile and fracture behavior of the material, as well as the origin of damage anisotropy. A micromechanical approach was used to link the microstructure and mechanical behavior. The microstructure of the alloy was characterized on the surface via Scanning Electron Microscopy and in the 3D volume via synchrotron X-ray tomography and laminography. The damage mechanism was identified by in-situ SEM tensile testing, ex-situ X-ray tomography and in-situ laminography on different levels of triaxiality. The observations have shown that damage nucleated at lower strains on Mg2Si coarse precipitates than on iron rich intermetallics. The identified scenario and the in-situ measurements were then used to develop a coupled GTN damage model incorporating nucleation, growth and coalescence of cavities formed by coarse precipitates. The relationship between the damage and the microstructure anisotropies was explained and simulated.

La rupture ductile des alliages métalliques survient suite à la nucléation, la croissance et la coalescence de microcavités. La première partie de cette thèse est consacrée à l'étude des effets de forme et d'anisotropie plastique sur la phase de croissance des cavités. Dans un premier temps, nous implémentons numériquement le modèle de croissance de Madou et Leblond pour des cavités ellipsoïdales générales plongées dans un matériau isotrope dans un code de calcul par éléments finis, afin d'appliquer le modèle à des cas de rupture où les effets de forme sont importants. On montre que la prise en compte des effets de forme des cavités est nécessaire afin de reproduire la rupture ductile en cisaillement. Ce modèle est ensuite étendu au cas de l'anisotropie plastique, en s'inspirant des travaux de Monchiet et Benzerga. On dérive notamment un critère de plasticité macroscopique pour les matériaux anisotropes contenant des cavités ellipsoïdales générales, que nous validons par analyse limite numérique. La seconde partie de la thèse est dédiée à l'étude des effets de taille sur la rupture ductile des matériaux nanoporeux contenant des cavités sphériques ou sphéroïdales. Enfin, la troisième partie de la thèse est consacrée à l'étude des effets de forme et d'anisotropie plastique sur la phase de coalescence des cavités. Nous dérivons deux nouveaux critères de coalescence en couche que nous validons par analyse limite numérique. Cette étude nous permet de développer un nouveau critère permettant d'unifier les phases de croissance et coalescence. Enfin nous dérivons un critère de coalescence pour les matériaux anisotropes. / Ductile fracture of metallic alloys occurs by the nucleation, growth and coalescence of microvoids. In a first step, we study the influence of void shape effects and plastic anisotropy on the growth phase. we implement numerically in a finite element code the void growth model of madou and leblond for ellipsoidal voids embedded in an isotropic material, in order to apply the model to ductile fracture problems involving important void shape effects. We show that the consideration of void shape effects is necessary in order to reproduce shear-dominant ductile fracture. This model is then extended to plastic anisotropy, in the spirit of the models of monchiet and benzerga. In particular, we derive a macroscopic criterion for anisotropic materials containing general ellipsoidal voids, which is assessed by finite element limite analyses. In a second step, we study the effects of void size on the ductile fracture of nanoporous materials contenant spherical or spheroidal voids. The last part of the thesis is dedicated to the study of void shape effects and plastic anisotropy on the coalescence phase. We derive two new criteria of coalescence by internal necking, which are assessed numerically. Then, we derive a new criterion that permits to unify the growth and coalescence phases. Finally we study the influence of plasticy anisotropy on coalescence by internal necking.

Structural integrity assessment of nuclear components assessed using the R6 Failure Assessment Diagram approach requires an understanding of the limiting condition in terms of both fracture and plastic collapse. For ductile materials, such as stainless steels used for nuclear components, including the primary pipe-work of a Pressurised Water Reactor (PWR), the limiting condition defined by plastic collapse is likely to occur prior to the initiation of fracture. This is due to the relatively low yield stress of the material and the high fracture toughness. If this is the case, structural integrity may be solely assessed on plastic collapse criteria, with little or no reference to fracture toughness; thus considerably simplifying the assessment procedure, whilst maintaining the integrity of the plant. Nevertheless, an in-depth understanding of fracture under plastic collapse conditions is required to make a robust case for single parameter assessments based on a plastic collapse criterion alone. The challenge in this project lay in understanding and predicting ductile fracture initiation under large-scale yielding conditions, i.e. outside the normal validity limits of conventional elastic-plastic fracture mechanics as plastic collapse conditions are achieved. The approach developed in this research has explored three fracture assessment methods: (a) two parameter fracture mechanics based on the J-integral and a refined Q-parameter calculated closer to the crack-tip under widespread plasticity than is conventionally the case, (b) two local approach methods based on critical void growth ratio defined by Rice and Tracey, and (c) a local approach method based on the critical work of fracture. All three methodologies were found to adequately describe failure across a range of constraint conditions. The fracture toughness constraint dependence of 304(L) stainless steel was studied experimentally and analytically. Significant constraint loss was shown to occur in nominally high constraint fracture toughness specimens due to extensive plastic deformation at fracture initiation. Furthermore, significant fracture toughness constraint dependence was observed experimentally. An analytical method using local approach criteria was developed to predict high constraint fracture toughness, required for structural integrity assessments, and to quantify the constraint dependence fracture toughness as a function of two parameter fracture mechanics based on the J-integral and the refined Q-parameter. The influence of constraint on the prediction of failure in a stainless steel pipe containing a fully circumferential crack of various depths was investigated analytically for a range of loading conditions. A refined constraint independent failure assessment methodology was developed using local approach analyses. Using this methodology, the pipe component was shown to consistently fail by plastic collapse irrespective of the crack depth or loading condition. The conservatism of the conventional structural integrity assessment was quantified and shown to vary with crack depth and with loading conditions. This research has suggested that failure in a 304(L) stainless steel pipe will be by plastic collapse prior to ductile initiation for a limited range of defects and loading conditions. Further analytical studies and experimental work will be required to demonstrate whether this observation is general for a wider range of defects and loading conditions.

The aim of this thesis is the construction of a diagram of fracture strain for high strength steel OCHN3MFA and its application for the estimation of fracture toughness of this material. The first part of the thesis contains the necessary theoretical framework for numerical modelling of tensile tests of various specimens - smooth specimen, specimen with a notch and specimen with a circumferential crack, it describes the influence of triaxiality on the fracture of bodies and the possibilities of construction of the diagram of fracture strain. Subsequently, a numerical model of these specimens is created using the finite element method (FEM). A non-linear, elastoplastic calculation is performed. Fracture is identified by means of comparing the true stress versus the strain obtained from tests with the finite element analysis results. Stress–strain states of specimens at the moment of fracture are obtained from a numerical model. A diagram of fracture strain is constructed, and it is used to estimate the fracture toughness of a cracked body. Finally, a local approach, which uses the diagram of fracture strain, and a classical approach of fracture mechanics, especially the stress intensity factor, are compared.

The presented work is concerning with ductile fracture problematic under monotonic loading which is result of gradual material degradation at large plastic deformation. At present, a large number of models, which calibration is not trivial, are used for its prediction. Ductile fracture mechanisms and cut-off region are described in the literature search part. Next, there is given a summary of criteria which are based on different approaches to ductile fracture. There were proposed and used KHPS and KHPS2 criteria within this PhD thesis. Procedure of assessment of the stress-strain curve and ductile fracture criteria calibration are described in last part of the literature search. A summary of tests, which were done in order to calibrate chosen criteria, is given in experimental part. Various stress states within broad range of stress triaxiality and Lode parameter were reached using these tests. Special type of specimen, by which very low stress triaxiality value is reached, was designed within this work. All specimens were made from the steel 12 050. Wrought rods of one melt with circular cross-section of 27 mm in diameter were used as semi-product. Calibration of chosen ductile fracture criteria was performed using foregoing tests. These criteria were implemented by author into explicit finite element software ABAQUS/Explicit using user subroutine VUMAT. Chosen criteria were used for simulation of multistep extrusion at which formation of internal central cracks occurs. These criteria were also used for simulation of cutting of circular cross-section rods. Results from simulation were compared to experiments which were done by industrial partner J-VST.

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