Finite element analysis of interfacial friction and slip in composites with fully unbonded filler

A finite element model is developed to predict the stress-strain behaviour of particulate composites with fully unbonded filler particles. This condition can occur because of the lack of adhesion property of the filler surface. Whilst part of the filler particle is separated from the matrix, another section of filler keeps in contact with the matrix because of the lateral compressive displacement of the matrix. The slip boundary condition is imposed on the section of the interface that remains closed. The states of stress and displacement fields are obtained. The location of any further deformation through crazing or shear band formation is identified. A completely unbonded inclusion with partial slip at a section of the interface reduces the concentration of the stress at the interface significantly. Whereas this might lead to slightly higher strength, it decreases the load transfer efficiency and stiffness of this type of composite.

Numerical analysis of complex failure mechanisms in composite panels

A three-dimensional continuum damage mechanics-based material model has been implemented in an implicit Finite Element code to simulate the progressive degradation of advanced composite materials. The damage model uses seven damage variables assigned to tensile, compressive and non-linear shear damage at a laminae level. The objectivity of the numerical discretization is assured using a smeared formulation. The material model was benchmarked against experimental uniaxial coupon tests and it is shown to reproduce key aspects observable during failure, such as the inclined fracture plane in matrix compression and the shear band in a ±45° tension specimen.

Effect of relaxation on pressure sensitivity index in a Zr-based metallic glass

Shear-banding features of as-cast and annealed Zr_41.2Ti_13.8Cu_12.5Ni₁₀Be_22.5 bulk metallic glass were investigated through Rockwell indentation tests. Isothermal annealing of the as-cast samples was conducted at temperatures below its glass transition temperature, Tg. The exothermal enthalpy during continuous heating below Tg decreases with increasing annealing temperature, indicating the gradual reduction of free-volume upon annealing. The observation on the morphology of shear-banding pattern around the indents implies a reduced shear bands activity in the annealed samples. The included angles (2θ) between two families of shear bands emanating from the edge of Rockwell indent decrease from 88° for the as-cast sample to 79° for the sample annealed at 633 K for 1 h, indicating a pressure sensitive plasticity. By Mohr–Coulomb criterion, the pressure sensitive index can be obtained on the basis of the measured 2θ, which increases with increasing annealing temperature, indicating an increase of “atomistic friction” due to the reduction of the free volume upon annealing.

Transmission electron microscopy characterization of the bake-hardening behavior of transformation-induced plasticity and dual-phase steels

The effect of prestraining (PS) and bake hardening (BH) on the microstructures and mechanical properties has been studied in transformation-induced plasticity (TRIP) and dual-phase (DP) steels after intercritical annealing. The DP steel showed an increase in the yield strength and the appearance of the upper and lower yield points after a single BH treatment as compared with the as-received condition, whereas the mechanical properties of the TRIP steel remained unchanged. This difference appears to be because of the formation of plastic deformation zones with high dislocation density around the “as-quenched” martensite in the DP steel, which allowed carbon to pin these dislocations, which, in turn, increased the yield strength. It was found for both steels that the BH behavior depends on the dislocation rearrangement in ferrite with the formation of cell, microbands, and shear band structures after PS. The strain-induced transformation of retained austenite to martensite in the TRIP steel contributes to the formation of a complex dislocation structure.

Indentation study on the pressure sensitivity of a ZR-based bulk metallic glass

Spherical indentation test was conducted on as-cast and annealed Zr_41.2Ti_13.8Cu_12.5Ni₁₀Be_22.5 bulk metallic glass, and the evolution of the morphology of the deformation zone of indents upon annealing was investigated. The DSC traces of the as-cast and annealed samples show that the enthalpy change at the glass transition, ΔH, decreases with the increasing of annealing temperature, indicating the reduction of the free volume upon annealing. The morphology of the indents implies a reduced shear band activity in the annealed samples. The included angles (2θ) between two families of shear bands emanating from the edge of spherical indent in the as-cast and the annealed samples were measured to be in the range of 88-79°, which decrease with the increasing of annealing temperature, indicating pressure sensitive plasticity in the as-cast and annealed samples. By Mohr–Coulomb criterion, the pressure sensitive index, α, can be obtained on the basis of the measured 2θ. The sensitivity index increases with increasing temperature, implying an increase of 'atomistic friction' due to the reduction of the free volume upon annealing.

Plastic deformation in Zr41 Ti14 Cu12.5 Ni10 Be22.5 bulk metal glass under vickers indenter

Vickers indentation was conducted on an as-cast Zr41Ti14Cu12.5Ni10Be22.5 bulk metal glass (BMG) to study shear band formation using a bonded interface technique. The results indicate that the plastic deformation in the BMG is accommodated by the semi-circular (primary) and radial (secondary) shear bands. The inter-band spacing of the semi-circular shear bands is found to be independent of the applied load. The measured size of the deformation zone is in good agreement with the prediction of the theoretical model proposed by Zhang et al.

Effect of structure relaxation on the plastic deformation behaviour in a Zr-based BMG under indenter

Vickers and nano indentations were performed on a structurally relaxed Zr₄₁Ti₁₄Cu_12.5Ni₁₀Be_22.5 bulk metallic glass (BMG), and the evolution of the shear bands in the relaxed BMG was investigated and compared to that in the as-cast alloy. Results indicate that the plastic deformation in the BMG with structure relaxation is accommodated by the semicircular (primary) and radial (secondary) as well as tertiary shear bands. Quantitatively, the shear band density in the relaxed alloy was much lower than that in the as-cast alloy. The annihilation of free volume caused by the annealing was responsible for the embrittlement of the sample with structure relaxation.

Plastic deformation in the annealed Zr41Ti14Cu12.5Ni10Be22.5 bulk metal glass under indenter

Vickers and nanoindentationswere carried out on an annealed Zr₄₁Ti₁₄Cu_12.5Ni₁₀Be_22.5 bulk metallic glass (BMG), and the evolution of the shear bands in the annealed BMG was investigated and compared to that in the as-cast alloy. Results indicate that the plastic deformation in the BMG with the structure relaxation is accommodated by the semicircular (primary) and radial (secondary) as well as tertiary shear bands. Quantitatively, the shear band density in the annealed alloywas much lower than that in the as-cast alloy. The load-displacement curve of nanoindentation test for the annealed alloy exhibited a more flat serrated flow. The annihilation of free volume caused by the annealing was responsible for the embrittlement of the annealed sample.

Plastic deformation in a partially crystallized Zr-based BMG under Vickers indenter

Vickers indentations were carried out on an anneal-introduced partially crystallized Zr₄₁Ti₁₄Cu_12.5 Ni₁₀Be_22.5 bulk metallic glass (BMG), and the evolution of the shear bands in this samplewas investigated and compared to the as-cast, aswell as the structurally relaxed counterparts. The results indicate that the plastic deformation in the partially crystallized BMG was accommodated by the semi-circular (primary) and radial (secondary) shear bands. A full crack or flake that was produced due to the spring back during the load removal was observed. The shear band density in the annealed alloy which was dispersed with crystalliteswas significantly lower than that of the as-cast alloy. The difference of the shear band features among the three kinds of alloy status, i.e., partially crystallized, structurally relaxed and as-cast alloys was discussed in terms of the free volume in the BMGs and the characteristics of nano-composites. It has been demonstrated that the plasticity for the three statuses of alloys queues in the descending order as the as-cast, annealed with partial crystallization, and annealed without crystallization.

Rough turning of titanium alloy (6Al-4V)

Metal machining is the complex process due the used cutting parameters. In metal cutting process, materials of workpiece differ widely in their ability to deform plastically, to fracture and to sustain tensile stresses. Moreover, the material involved in the process has a great influence in these operations. The Ti-6Al-4V alloy is very used in the aeronautical industry, mainly in the manufacture of engines, has very important properties such the mechanical and corrosion resistance in high te mperatures. The turning of the Ti-Al-4V alloy is very difficult due the rapid tool wear. Such behavior result of the its low thermal conductivity in addition the high reactivity with the cutting tool. The formed chip is segmented and regions of the large deformation named shear bands plows formed. The machinability of the cutting process can be evaluated by several measures including power consume, machined surface quality, tool wear, tool life, microstructure and morphology of the obtained chip. This paper studies the effect of cutting parameters, speed and feed rates, in the tool wear and chip properties using uncoating cemented carbide tool. Microe-structural characterization of the chip and tool wear was performed using scanning electron microscopy (SEM) and Light Optical Mcroscopy (LOM).

High-speed Imaging of a Bulk Metallic Glass During Uniaxial Compression

High-speed imaging directly correlates the propagation of a particular shear band with mechanical measurements during uniaxial compression of a bulk metallic glass. Imaging shows shear occurs simultaneously over the entire shear plane, and load data, synced and time-stamped to the same clock as the camera, reveal that shear sliding is coincident with the load drop of each serration. Digital image correlation agrees with these results. These data demonstrate that shear band sliding occurs with velocities on the order of millimeters per second. Fracture occurs much more rapidly than the shear banding events, thereby readily leading to melting on fracture surfaces.

Discontinuous solutions and boundary value problems for non-linearly elastic fibre-reinforced materials

En este trabajo se han analizado varios problemas en el contexto de la elasticidad no lineal basándose en modelos constitutivos representativos. En particular, se han analizado problemas relacionados con el fenómeno de perdida de estabilidad asociada con condiciones de contorno en el caso de material reforzados con fibras. Cada problema se ha formulado y se ha analizado por separado en diferentes capítulos. En primer lugar se ha mostrado el análisis del gradiente de deformación discontinuo para un material transversalmente isótropo, en particular, el modelo del material considerado consiste de una base neo-Hookeana isótropa incrustada con fibras de refuerzo direccional caracterizadas con un solo parámetro. La solución de este problema se vincula con instabilidades que dan lugar al mecanismo de fallo conocido como banda de cortante. La perdida de elipticidad de las ecuaciones diferenciales de equilibrio es una condición necesaria para que aparezca este tipo de soluciones y por tanto las inestabilidades asociadas. En segundo lugar se ha analizado una deformación combinada de extensión, inación y torsión de un tubo cilíndrico grueso donde se ha encontrado que la deformación citada anteriormente puede ser controlada solo para determinadas direcciones de las fibras refuerzo. Para entender el comportamiento elástico del tubo considerado se ha ilustrado numéricamente los resultados obtenidos para las direcciones admisibles de las fibras de refuerzo bajo la deformación considerada. En tercer lugar se ha estudiado el caso de un tubo cilíndrico grueso reforzado con dos familias de fibras sometido a cortante en la dirección azimutal para un modelo de refuerzo especial. En este problema se ha encontrado que las inestabilidades que aparecen en el material considerado están asociadas con lo que se llama soluciones múltiples de la ecuación diferencial de equilibrio. Se ha encontrado que el fenómeno de instabilidad ocurre en un estado de deformación previo al estado de deformación donde se pierde la elipticidad de la ecuación diferencial de equilibrio. También se ha demostrado que la condición de perdida de elipticidad y ^W=2 = 0 (la segunda derivada de la función de energía con respecto a la deformación) son dos condiciones necesarias para la existencia de soluciones múltiples. Finalmente, se ha analizado detalladamente en el contexto de elipticidad un problema de un tubo cilíndrico grueso sometido a una deformación combinada en las direcciones helicoidal, axial y radial para distintas geotermias de las fibras de refuerzo . In the present work four main problems have been addressed within the framework of non-linear elasticity based on representative constitutive models. Namely, problems related to the loss of stability phenomena associated with boundary value problems for fibre-reinforced materials. Each of the considered problems is formulated and analysed separately in different chapters. We first start with the analysis of discontinuous deformation gradients for a transversely isotropic material under plane deformation. In particular, the material model is an augmented neo-Hookean base with a simple unidirectional reinforcement characterised by a single parameter. The solution of this problem is related to material instabilities and it is associated with a shear band-type failure mode. The loss of ellipticity of the governing differential equations is a necessary condition for the existence of these material instabilities. The second problem involves a detailed analysis of the combined non-linear extension, inflation and torsion of a thick-walled circular cylindrical tube where it has been found that the aforementioned deformation is controllable only for certain preferred directions of transverse isotropy. Numerical results have been illustrated to understand the elastic behaviour of the tube for the admissible preferred directions under the considered deformation. The third problem deals with the analysis of a doubly fibre-reinforced thickwalled circular cylindrical tube undergoing pure azimuthal shear for a special class of the reinforcing model where multiple non-smooth solutions emerge. The associated instability phenomena are found to occur prior to the point where the nominal stress tensor changes monotonicity in a particular direction. It has been also shown that the loss of ellipticity condition that arises from the equilibrium equation and ^W=2 = 0 (the second derivative of the strain-energy function with respect to the deformation) are equivalent necessary conditions for the emergence of multiple solutions for the considered material. Finally, a detailed analysis in the basis of the loss of ellipticity of the governing differential equations for a combined helical, axial and radial elastic deformations of a fibre-reinforced circular cylindrical tube is carried out.

Las mineralizaciones auríferas de Galicia Occidental en la Zona de Cizalla Busto-Limideiro (A Coruña)

Las mineralizaciones de oro de Galicia Occidental ligadas a grandes estructuras comienzan a ser interpretadas de manera más rigurosa, al mismo tiempo que la continuada elevación de las cotizaciones del oro han hecho más atractiva la reactivación de áreas hasta ahora casi olvidadas. El propósito de esta investigación participa de las razones anteriores. La zona de cizalla Busto Limideiro se inscribe en una de estas estructuras, la cizalla Santa Comba-Punta Langosteira, con la que se relacionan un importante número de yacimientos auríferos entre los que destacan Corcoesto y Monte Piñor. Por su situación geológica, estos indicios se enmarcan en el Macizo Ibérico, en la Zona de Galicia Tras-os-Montes. Este trabajo aporta más conocimiento sobre un modelo general del oro de los yacimientos del noroeste español, integrándolo en los yacimientos de oro orogénico del Varisco europeo. Este estudio ha supuesto un importante esfuerzo investigador centrado sobre de los procesos genéticos que han dado lugar a las mineralizaciones auríferas. Los estudios petrográficos, metalogénicos, geoquímicos, microtemométricos y el análisis de isótopos han permitido establecer un modelo general y otros más específicos sobre la existencia y condiciones de formación en la concentración del oro mineralógico. De esta forma se ha caracterizado su mineralogía, quimismo, edad, y naturaleza de los paleofluidos que han intervinieron en su formación. De los resultados obtenidos se destaca que estas mineralizaciones se encuentran fuertemente ligadas a las estructuras y transformaciones físicas y químicas de las rocas afectadas por la banda de cizalla. Derivada de esta situación, se comprende la disposición espacial, a diversas escalas, con estructuras claramente en la transición del dominio dúctil a frágil. Además, resulta evidente, a escala macro y microscópica, el emplazamiento preferente del oro en estructuras de deformación miloníticas. Los estudios anteriores posibilitan formalizar un modelo de génesis para el yacimiento de Monte Piñor que resulta compatible con el establecido por Groves (1998), e incluirlas en un mismo contexto, como yacimientos de oro orogénico mesotermales, válido para el conjunto de todos los de la zona de cizalla Busto Limideiro. El estudio no omite la consideración geoestadística de este yacimiento, justificando la elección de direcciones de anisotropía explicadas por consideraciones de carácter estructural. Con ello, buscando el lado práctico desde el punto de vista minero, esta investigación propone líneas generales de aplicación de actuación con sentido de exploración, contribuyendo a la puesta en valor del conocimiento de las mineralizaciones de oro del noroeste español. ABSTRACT Old and nearly forgotten gold mines from Western Galicia are currently attractive to be recovered due to both, the new strict interpretation of gold mineralization linked to Variscan large structures and the increasing gold prices. The shear zone Busto Limiderio is relevant as a part of a Variscan large structure, Santa Comba-Punta Langosteira, which is related with a high number of gold deposits as Corcoesto and Monte Piñor. For its geological situation, these signs are part of the Iberian Massif in the area of Galicia Tras-os-Montes. Hence, the main aim of this study is to provide additional and important knowledge of Busto Limiderio about the general model of gold deposits in the Spanish northwest, integrating them in the orogenic gold deposits of European Variscan, enabling to analyze the economic recovery possibility of this area. This thesis has been focused on the genetic processes that have led to the gold mineralization. Petrographic studies, metalogenic, geochemical, microthermometric and isotope analysis have allowed to establish a general and specific models about the existence and training conditions in the concentration of mineralogical gold. Consequently, the mineralogy, chemical characteristics, age, and nature of paleofluids that have participated in its formation have been characterized. The results showed that Busto Limiderio gold mineralization are strongly linked to the structures and physical and chemical transformations of affected rocks by the shear band. The mineralization spatial distribution at various scales is due to the link with the large structures in the ductile-to-brittle transition domain. Furthermore, this factor determine at macro and microscopic scale, the preferred location of the gold structures mylonitic deformation. Previous studies have permitted to establish a model of genesis for the site of Monte Piñor which is compatible with the established by Groves (1998), and also to include them in the same context as mesothermal orogenic gold deposits, valid throughout all of Busto Limideiro shear zone. This study does not omit consideration of the geostatistical deposit, justifying the choice of directions of anisotropy explained by structural considerations. This thesis concludes with general action guidelines for mining exploration, contributing to the enhancement of knowledge of Spanish gold mineralization northwest.

In situ TiB-reinforced Cu-based bulk metallic glass composites

Cu-based bulk metallic glass (BMG) composites containing in situ TiB particles were successfully fabricated. The reinforcing TiB particles with a size of 5-10 mu m are uniformly distributed in the amorphous matrix. The particles have a good bonding to the matrix with a reaction layer. The BMG composites exhibit an obvious ductility with a plastic strain of 2% for the 17.5 vol.% TiB sample due to the suppression of shear band propagation and the generation of multiple shear bands during compressive testing. The hardness of the materials is increased from Hv543 for monolithic BMG to Hv650 for 23.6 vol.% TiB-containing BMG composite. (c) 2006 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

Contribution à l’étude des étalements dans les argiles sensibles de la mer de Champlain- Étude des étalements de Casselman (1971) et de Saint-Luc-de-Vincennes (1986)

Ce mémoire décrit, en premier lieu, l’analyse géotechnique et géomorphologique du glissement de 1971 à Casselman, Ontario. Les caractéristiques morphologiques identifiées à l’intérieur de la cicatrice confirment qu’il s’agit d’un étalement. Le sol impliqué est une argile sensible de la mer de Champlain, normalement à légèrement surconsolidée (OCR entre 1,0 et 1,2) dont les indices de liquidité varient entre 1,0 et 2,0. La résistance au cisaillement intacte mesurée au scissomètre de chantier varie entre 50 kPa et 87 kPa. L’argile adopte un comportement anti-écrouissage (perte de 40 % de la résistance en pic) lorsque soumise à des essais de cisaillement non-drainé. Une surface de rupture quasi-horizontale à deux niveaux principaux a été identifiée à partir des sondages au piézocône réalisés à l’intérieur de la cicatrice. Les coefficients de sécurité élevés obtenus à partir de méthodes à l’équilibre limite démontrent que la rétrogression ne peut être expliquée par des méthodes d’analyses conventionnelles. La deuxième partie du mémoire présente l’application numérique du principe de rupture progressive aux étalements de Casselman (1971) et de Saint-Luc-de-Vincennes (1986). Une étude paramétrique a été réalisée afin d’évaluer l’influence de la fragilité du comportement après la résistance en pic du sol, reliée dans l’étude à une épaisseur de bande de cisaillement, ainsi que de la résistance à grande déformation, sur l’initiation et la rétrogression résultant du processus de rupture progressive. Les résultats démontrent que la résistance à grande déformation a très peu d’influence sur l’initiation du processus de rupture progressive, qui est principalement influencé par la fragilité du comportement du sol. Il a aussi été observé que la rétrogression était majoritairement influencée par la résistance à grande déformation.