Mathematical development of stress-strain law for rock block contacts

The fracture behavior of rock block contacts has been studied for many years. Unfortunately, up to now, there is not a rigorous formulation or a solid theoretical foundation to support it. A mathematical development to represent the failure mechanism which occurs in the contacts between rock blocks is presented to evaluate the performance of breaking mechanism of such blocks relating it to the morphology of the contact and mechanical parameters of the material. The examined framework includes the evaluation of the surface roughness of first order in the failure mechanism of the granular particles of large size and the development of a theoretical model describing the morphology of the contact between rock blocks.

Elastic (stress-strain) halo associated to ion-induced nano-tracks in lithium niobate: role of crystal anisotropy

The elastic strain/stress fields (halo) around a compressed amorphous nano-track (core) caused by a single high-energy ion impact on LiNbO3 are calculated. A method is developed to approximately account for the effects of crystal anisotropy of LiNbO3 (symmetry 3m) on the stress fields for tracks oriented along the crystal axes (X, Y or Z). It only considers the zero-order (axial) harmonic contribution to the displacement field in the perpendicular plane and uses effective Poisson moduli for each particular orientation. The anisotropy is relatively small; however, it accounts for some differential features obtained for irradiations along the crystallographic axes X, Y and Z. In particular, the irradiation-induced disorder (including halo) and the associated surface swelling appear to be higher for irradiations along the X- or Y-axis in comparison with those along the Z-axis. Other irradiation effects can be explained by the model, e.g. fracture patterns or the morphology of pores after chemical etching of tracks. Moreover, it offers interesting predictions on the effect of irradiation on lattice parameters

Continuum models of the mechanical behavior of rolled and die-cast magnesium alloys

En los últimos años ha habido una fuerte tendencia a disminuir las emisiones de CO2 y su negativo impacto medioambiental. En la industria del transporte, reducir el peso de los vehículos aparece como la mejor opción para alcanzar este objetivo. Las aleaciones de Mg constituyen un material con gran potencial para el ahorro de peso. Durante la última década se han realizado muchos esfuerzos encaminados a entender los mecanismos de deformación que gobiernan la plasticidad de estos materiales y así, las aleaciones de Mg de colada inyectadas a alta presión y forjadas son todavía objeto de intensas campañas de investigación. Es ahora necesario desarrollar modelos que contemplen la complejidad inherente de los procesos de deformación de éstos. Esta tesis doctoral constituye un intento de entender mejor la relación entre la microestructura y el comportamiento mecánico de aleaciones de Mg, y dará como resultado modelos de policristales capaces de predecir propiedades macro- y microscópicas. La deformación plástica de las aleaciones de Mg está gobernada por una combinación de mecanismos de deformación característicos de la estructura cristalina hexagonal, que incluye el deslizamiento cristalográfico en planos basales, prismáticos y piramidales, así como el maclado. Las aleaciones de Mg de forja presentan texturas fuertes y por tanto los mecanismos de deformación activos dependen de la orientación de la carga aplicada. En este trabajo se ha desarrollado un modelo de plasticidad cristalina por elementos finitos con el objetivo de entender el comportamiento macro- y micromecánico de la aleación de Mg laminada AZ31 (Mg-3wt.%Al-1wt.%Zn). Este modelo, que incorpora el maclado y tiene en cuenta el endurecimiento por deformación debido a las interacciones dislocación-dislocación, dislocación-macla y macla-macla, predice exitosamente las actividades de los distintos mecanismos de deformación y la evolución de la textura con la deformación. Además, se ha llevado a cabo un estudio que combina difracción de electrones retrodispersados en tres dimensiones y modelización para investigar el efecto de los límites de grano en la propagación del maclado en el mismo material. Ambos, experimentos y simulaciones, confirman que el ángulo de desorientación tiene una influencia decisiva en la propagación del maclado. Se ha observado que los efectos no-Schmid, esto es, eventos de deformación plástica que no cumplen la ley de Schmid con respecto a la carga aplicada, no tienen lugar en la vecindad de los límites de baja desorientación y se hacen más frecuentes a medida que la desorientación aumenta. Esta investigación también prueba que la morfología de las maclas está altamente influenciada por su factor de Schmid. Es conocido que los procesos de colada suelen dar lugar a la formación de microestructuras con una microporosidad elevada, lo cuál afecta negativamente a sus propiedades mecánicas. La aplicación de presión hidrostática después de la colada puede reducir la porosidad y mejorar las propiedades aunque es poco conocido su efecto en el tamaño y morfología de los poros. En este trabajo se ha utilizado un enfoque mixto experimentalcomputacional, basado en tomografía de rayos X, análisis de imagen y análisis por elementos finitos, para la determinación de la distribución tridimensional (3D) de la porosidad y de la evolución de ésta con la presión hidrostática en la aleación de Mg AZ91 (Mg- 9wt.%Al-1wt.%Zn) colada por inyección a alta presión. La distribución real de los poros en 3D obtenida por tomografía se utilizó como input para las simulaciones por elementos finitos. Los resultados revelan que la aplicación de presión tiene una influencia significativa tanto en el cambio de volumen como en el cambio de forma de los poros que han sido cuantificados con precisión. Se ha observado que la reducción del tamaño de éstos está íntimamente ligada con su volumen inicial. En conclusión, el modelo de plasticidad cristalina propuesto en este trabajo describe con éxito los mecanismos intrínsecos de la deformación de las aleaciones de Mg a escalas meso- y microscópica. Más especificamente, es capaz de capturar las activadades del deslizamiento cristalográfico y maclado, sus interacciones, así como los efectos en la porosidad derivados de los procesos de colada. ---ABSTRACT--- The last few years have seen a growing effort to reduce CO2 emissions and their negative environmental impact. In the transport industry more specifically, vehicle weight reduction appears as the most straightforward option to achieve this objective. To this end, Mg alloys constitute a significant weight saving material alternative. Many efforts have been devoted over the last decade to understand the main mechanisms governing the plasticity of these materials and, despite being already widely used, high pressure die-casting and wrought Mg alloys are still the subject of intense research campaigns. Developing models that can contemplate the complexity inherent to the deformation of Mg alloys is now timely. This PhD thesis constitutes an attempt to better understand the relationship between the microstructure and the mechanical behavior of Mg alloys, as it will result in the design of polycrystalline models that successfully predict macro- and microscopic properties. Plastic deformation of Mg alloys is driven by a combination of deformation mechanisms specific to their hexagonal crystal structure, namely, basal, prismatic and pyramidal dislocation slip as well as twinning. Wrought Mg alloys present strong textures and thus specific deformation mechanisms are preferentially activated depending on the orientation of the applied load. In this work a crystal plasticity finite element model has been developed in order to understand the macro- and micromechanical behavior of a rolled Mg AZ31 alloy (Mg-3wt.%Al-1wt.%Zn). The model includes twinning and accounts for slip-slip, slip-twin and twin-twin hardening interactions. Upon calibration and validation against experiments, the model successfully predicts the activity of the various deformation mechanisms and the evolution of the texture at different deformation stages. Furthermore, a combined three-dimensional electron backscatter diffraction and modeling approach has been adopted to investigate the effect of grain boundaries on twin propagation in the same material. Both experiments and simulations confirm that the misorientation angle has a critical influence on twin propagation. Non-Schmid effects, i.e. plastic deformation events that do not comply with the Schmid law with respect to the applied stress, are absent in the vicinity of low misorientation boundaries and become more abundant as misorientation angle increases. This research also proves that twin morphology is highly influenced by the Schmid factor. Finally, casting processes usually lead to the formation of significant amounts of gas and shrinkage microporosity, which adversely affect the mechanical properties. The application of hydrostatic pressure after casting can reduce the porosity and improve the properties but little is known about the effects on the casting’s pores size and morphology. In this work, an experimental-computational approach based on X-ray computed tomography, image analysis and finite element analysis is utilized for the determination of the 3D porosity distribution and its evolution with hydrostatic pressure in a high pressure diecast Mg AZ91 alloy (Mg-9wt.%Al-1wt.%Zn). The real 3D pore distribution obtained by tomography is used as input for the finite element simulations using an isotropic hardening law. The model is calibrated and validated against experimental stress-strain curves. The results reveal that the pressure treatment has a significant influence both on the volume and shape changes of individuals pores, which have been precisely quantified, and which are found to be related to the initial pore volume. In conclusion, the crystal plasticity model proposed in this work successfully describes the intrinsic deformation mechanisms of Mg alloys both at the mesoscale and the microscale. More specifically, it can capture slip and twin activities, their interactions, as well as the potential porosity effects arising from casting processes.

An inverse optimization strategy to determine single crystal mechanical behavior from polycrystal tests: Application to AZ31 Mg alloy

An inverse optimization strategy was developed to determine the single crystal properties from experimental results of the mechanical behavior of polycrystals. The polycrystal behavior was obtained by means of the finite element simulation of a representative volume element of the microstructure in which the dominant slip and twinning systems were included in the constitutive equation of each grain. The inverse problem was solved by means of the Levenberg-Marquardt method, which provided an excellent fit to the experimental results. The iterative optimization process followed a hierarchical scheme in which simple representative volume elements were initially used, followed by more realistic ones to reach the final optimum solution, leading to important reductions in computer time. The new strategy was applied to identify the initial and saturation critical resolved shear stresses and the hardening modulus of the active slip systems and extension twinning in a textured AZ31 Mg alloy. The results were in general agreement with the data in the literature but also showed some differences. They were partially explained because of the higher accuracy of the new optimization strategy but it was also shown that the number of independent experimental stress-strain curves used as input is critical to reach an accurate solution to the inverse optimization problem. It was concluded that at least three independent stress-strain curves are necessary to determine the single crystal behavior from polycrystal tests in the case of highly textured Mg alloys.

Efficient PGD-based dynamic calculation of non-linear soil behavior

Non-linear behavior of soils during a seismic event has a predominant role in current site response analysis. Soil response analysis consistently indicates that the stress-strain relationship of soils is nonlinear and shows hysteresis. When focusing in forced response simulations, time integrations based on modal analysis are widely considered, however parametric analysis, non-linear behavior and complex damping functions make difficult the online use of standard discretization strategies, e.g. those based on the use of finite element. In this paper we propose a new harmonic analysis formulation, able to address forced response simulation of soils exhibiting their characteristic nonlinear behavior. The solution can be evaluated in real-time from the offline construction of a parametric solution of the associated linearized problem within the Proper Generalized Decomposition framework.

Stress relaxation losses of prestressing steel wires

Prestressed structures are susceptible to relaxation losses which are of significant importance in structural design. After being manufactured, prestressing wires are coiled to make their storage and transportation easier. The possible deleterious effects of this operation on the stress relaxation behavior of prestressing steel wires are usually neglected, though it has been noticed by manufacturers and contractors that when relaxation tests are carried out after a long-time storage, on occasions relaxation losses are higher than those measured a short time after manufacturing. The influence of coiling on the relaxation losses is checked by means of experimental work and confirmed with a simple analytical model. The results show that some factors like initial residual stresses, excessively long-time storage or storage at high temperatures, can trigger or accentuate this damage. However, it is also shown that if the requirements of standards are fulfilled (minimum coiling diameters) these effects can be neglected.

Thermo-Mechanical Treatment Effects on Stress Relaxation and Hydrogen Embrittlement of Cold-Drawn Eutectoid Steels

The effects of the temperature and stretching levels used in the stress-relieving treatment of cold-drawn eutectoid steel wires are evaluated with the aim of improving the stress relaxation behavior and the resistance to hydrogen embrittlement. Five industrial treatments are studied, combining three temperatures (330, 400, and 460 °C) and three stretching levels (38, 50 and 64% of the rupture load). The change of the residual stress produced by the treatments is taken into consideration to account for the results. Surface residual stresses allow us to explain the time to failure in standard hydrogen embrittlement tests

Influence of long-time storage. Stress relaxation losses of prestressing steel wires

Prestressed structures are susceptible to relaxation losses which are of significant importance in structural design. After being manufactured, prestressing wires are coiled to make their storage and transportation easier. The possible deleterious effects of this operation on the stress relaxation behavior of prestressing steel wires are usually neglected, though it has been noticed by manufacturers and contractors that when relaxation tests are carried out after a long-time storage, on occasions relaxation losses are higher than those measured a short time after manufacturing. The influence of coiling on the relaxation losses is checked by means of experimental work and confirmed with a simple analytical model. The results show that some factors like initial residual stresses, excessively long-time storage or storage at high temperatures,can trigger or accentuate this damage. However, it is also shown that if the requirements of standards are fulfilled (minimum coiling diameters) these effects can be neglected.

Neurite, a finite difference large scale parallel program for the simulation of the electrical signal propagation in neurites under mechanical loading

With the growing body of research on traumatic brain injury and spinal cord injury, computational neuroscience has recently focused its modeling efforts on neuronal functional deficits following mechanical loading. However, in most of these efforts, cell damage is generally only characterized by purely mechanistic criteria, function of quantities such as stress, strain or their corresponding rates. The modeling of functional deficits in neurites as a consequence of macroscopic mechanical insults has been rarely explored. In particular, a quantitative mechanically based model of electrophysiological impairment in neuronal cells has only very recently been proposed (Jerusalem et al., 2013). In this paper, we present the implementation details of Neurite: the finite difference parallel program used in this reference. Following the application of a macroscopic strain at a given strain rate produced by a mechanical insult, Neurite is able to simulate the resulting neuronal electrical signal propagation, and thus the corresponding functional deficits. The simulation of the coupled mechanical and electrophysiological behaviors requires computational expensive calculations that increase in complexity as the network of the simulated cells grows. The solvers implemented in Neurite-explicit and implicit-were therefore parallelized using graphics processing units in order to reduce the burden of the simulation costs of large scale scenarios. Cable Theory and Hodgkin-Huxley models were implemented to account for the electrophysiological passive and active regions of a neurite, respectively, whereas a coupled mechanical model accounting for the neurite mechanical behavior within its surrounding medium was adopted as a link between lectrophysiology and mechanics (Jerusalem et al., 2013). This paper provides the details of the parallel implementation of Neurite, along with three different application examples: a long myelinated axon, a segmented dendritic tree, and a damaged axon. The capabilities of the program to deal with large scale scenarios, segmented neuronal structures, and functional deficits under mechanical loading are specifically highlighted.

Desarrollo de nuevos tratamientos térmicos para aleaciones avanzadas de interés aeroespacial

La corrosión bajo tensiones (SCC) es un problema de gran importancia en las aleaciones de aluminio de máxima resistencia (serie Al-Zn-Mg-Cu). La utilización de tratamientos térmicos sobremadurados, en particular el T73, ha conseguido prácticamente eliminar la susceptibilidad a corrosión bajo tensiones en dichas aleaciones pero a costa de reducir su resistencia mecánica. Desde entonces se ha tratado de optimizar simultáneamente ambos comportamientos, encontrándose para ello diversos inconvenientes entre los que destacan: la dificultad de medir experimentalmente el crecimiento de grieta por SCC, y el desconocimiento de las causas y el mecanismo por el cual se produce la SCC. Los objetivos de esta Tesis son mejorar el sistema de medición de grietas y profundizar en el conocimiento de la SCC, con el fin de obtener tratamientos térmicos que aúnen un óptimo comportamiento tanto en SCC como mecánico en las aleaciones de aluminio de máxima resistencia utilizadas en aeronáutica. Para conseguir los objetivos anteriormente descritos se han realizado unos cuarenta tratamientos térmicos diferentes, de los cuales la gran mayoría son nuevos, para profundizar en el conocimiento de la influencia de la microestructura (fundamentalmente, de los precipitados coherentes) en el comportamiento de las aleaciones Al-Zn-Mg-Cu, y estudiar la viabilidad de nuevos tratamientos apoyados en el conocimiento adquirido. Con el fin de obtener unos resultados aplicables a productos o semiproductos de aplicación aeronáutica, los tratamientos térmicos se han realizado a trozos grandes de una plancha de 30 mm de espesor de la aleación de aluminio 7475, muy utilizada en las estructuras aeronáuticas. Asimismo con el objeto de conseguir una mayor fiabilidad de los resultados obtenidos se han utilizado, normalmente, tres probetas de cada tratamiento para los diferentes ensayos realizados. Para la caracterización de dichos tratamientos se han utilizado diversas técnicas: medida de dureza y conductividad eléctrica, ensayos de tracción, calorimetría diferencial de barrido (DSC), metalografía, fractografía, microscopia electrónica de transmisión (MET) y de barrido (MEB), y ensayos de crecimiento de grieta en probeta DCB, que a su vez han permitido hacer una estimación del comportamiento en tenacidad del material. Las principales conclusiones del estudio realizado se pueden resumir en las siguientes: Se han diseñado y desarrollado nuevos métodos de medición de grieta basados en el empleo de la técnica de ultrasonidos, que permiten medir el crecimiento de grieta por corrosión bajo tensiones con la precisión y fiabilidad necesarias para valorar adecuadamente la susceptibilidad a corrosión bajo tensiones. La mejora de medida de la posición del frente de grieta ha dado lugar, entre otras cosas, a la definición de un nuevo ensayo a iniciación en probetas preagrietadas. Asimismo, se ha deducido una nueva ecuación que permite calcular el factor de intensidad de tensiones existente en punta de grieta en probetas DCB teniendo en cuenta la influencia de la desviación del plano de crecimiento de la grieta del plano medio de la probeta. Este aspecto ha sido determinante para poder explicar los resultados experimentales obtenidos ya que el crecimiento de la grieta por un plano paralelo al plano medio de la probeta DCB pero alejado de él reduce notablemente el factor de intensidades de tensiones que actúa en punta de grieta y modifica las condiciones reales del ensayo. Por otro lado, se han identificado los diferentes constituyentes de la microestructura de precipitación de todos los tratamientos térmicos estudiados y, en especial, se ha conseguido constatar (mediante MET y DSC) la existencia de zonas de Guinier-Preston del tipo GP(II) en la microestructura de numerosos tratamientos térmicos (no descrita en la bibliografía para las aleaciones del tipo de la estudiada) lo que ha permitido establecer una nueva interpretación de la evolución de la microestructura en los diferentes tratamientos. Al hilo de lo anterior, se han definido nuevas secuencias de precipitación para este tipo de aleaciones, que han permitido entender mejor la constitución de la microestructura y su relación con las propiedades en los diferentes tratamientos térmicos estudiados. De igual manera, se ha explicado el papel de los diferentes microconstituyentes en diversas propiedades mecánicas (propiedades a tracción, dureza y tenacidad KIa); en particular, el estudio realizado de la relación de la microestructura con la tenacidad KIa es inédito. Por otra parte, se ha correlacionado el comportamiento en corrosión bajo tensiones, tanto en la etapa de incubación de grieta como en la de propagación, con las características medidas de los diferentes constituyentes microestructurales de los tratamientos térmicos ensayados, tanto de interior como de límite de grano, habiéndose obtenido que la microestructura de interior de grano tiene una mayor influencia en el comportamiento en corrosión bajo tensiones que la de límite de grano. De forma especial, se ha establecido la importancia capital, y muy negativa, de la presencia en la microestructura de zonas de Guinier-Preston en el crecimiento de la grieta por corrosión bajo tensiones. Finalmente, como consecuencia de todo lo anterior, se ha propuesto un nuevo mecanismo por el que se produce la corrosión bajo tensiones en este tipo de aleaciones de aluminio, y que de forma muy resumida se puede concretar lo siguiente: la acumulación de hidrógeno (formado, básicamente, por un proceso corrosivo de disolución anódica) delante de la zonas GP (en especial, de las zonas GP(I)) próximas a la zona libre de precipitados que se desarrolla alrededor del límite de grano provoca enfragilización local y causa el rápido crecimiento de grieta característico de algunos tratamientos térmicos de este tipo de aleaciones. ABSTRACT The stress corrosion cracking (SCC) is a major problem in the aluminum alloys of high resistance (series Al-Zn-Mg-Cu). The use of overaged heat treatments, particularly T73 has achieved virtually eliminate the susceptibility to stress corrosion cracking in such alloys but at the expense of reducing its mechanical strength. Since then we have tried to simultaneously optimize both behaviors, several drawbacks found for it among them: the difficulty of measuring experimentally the SCC crack growth, and ignorance of the causes and the mechanism by which SCC occurs. The objectives of this thesis are to improve the measurement system of cracks and deeper understanding of the SCC, in order to obtain heat treatments that combine optimum performance in both SCC and maximum mechanical strength in aluminum alloys used in aerospace To achieve the above objectives have been made about forty different heat treatments, of which the vast majority are new, to deepen the understanding of the influence of microstructure (mainly of coherent precipitates) in the behavior of the alloys Al -Zn-Mg-Cu, and study the feasibility of new treatments supported by the knowledge gained. To obtain results for products or semi-finished aircraft application, heat treatments were performed at a large pieces plate 30 mm thick aluminum alloy 7475, widely used in aeronautical structures. Also in order to achieve greater reliability of the results obtained have been used, normally, three specimens of each treatment for various tests. For the characterization of these treatments have been used several techniques: measurement of hardness and electrical conductivity, tensile testing, differential scanning calorimetry (DSC), metallography, fractography, transmission (TEM) and scanning (SEM) electron microscopy, and crack growth tests on DCB specimen, which in turn have allowed to estimate the behavior of the material in fracture toughness. The main conclusions of the study can be summarized as follows: We have designed and developed new methods for measuring crack based on the use of the ultrasound technique, for measuring the growth of stress corrosion cracks with the accuracy and reliability needed to adequately assess the susceptibility to stress corrosion. Improved position measurement of the crack front has resulted, among other things, the definition of a new initiation essay in pre cracked specimens. Also, it has been inferred a new equation to calculate the stress intensity factor in crack tip existing in DCB specimens considering the influence of the deviation of the plane of the crack growth of the medium plane of the specimen. This has been crucial to explain the experimental results obtained since the crack growth by a plane parallel to the medium plane of the DCB specimen but away from it greatly reduces the stress intensity factor acting on the crack tip and modifies the actual conditions of the essay. Furthermore, we have identified the various constituents of the precipitation microstructure of all heat treatments studied and, in particular note has been achieved (by TEM and DSC) the existence of the type GP (II) of Guinier-Preston zones in the microstructure of several heat treatments (not described in the literature for alloys of the type studied) making it possible to establish a new interpretation of the evolution of the microstructure in the different treatments. In line with the above, we have defined new precipitation sequences for these alloys, which have allowed a better understanding of the formation of the microstructure in relation to the properties of different heat treatments studied. Similarly, explained the role of different microconstituents in various mechanical properties (tensile properties, hardness and toughness KIa), in particular, the study of the relationship between the tenacity KIa microstructure is unpublished. Moreover, has been correlated to the stress corrosion behavior, both in the incubation step as the crack propagation, with the measured characteristics of the various microstructural constituents heat treatments tested, both interior and boundary grain, having obtained the internal microstructure of grain has a greater influence on the stress corrosion cracking behavior in the grain boundary. In a special way, has established the importance, and very negative, the presence in the microstructure of Guinier-Preston zones in crack growth by stress corrosion. Finally, following the above, we have proposed a new mechanism by which stress corrosion cracking occurs in this type of aluminum alloy, and, very briefly, one can specify the following: the accumulation of hydrogen (formed basically by a corrosive process of anodic dissolution) in front of the GP zones (especially the GP (I) zones) near the precipitates free zone that develops around grain boundary causes local embrittlement which characterizes rapid crack growth of some heat treatments such alloys.

WYPIWYG Hyperelasticity

In this paper we describe a new promising procedure to model hyperelastic materials from given stress-strain data. The main advantage of the proposed method is that the user does not need to have a relevant knowledge of hyperelasticity, large strains or hyperelastic constitutive modelling. The engineer simply has to prescribe some stress strain experimental data (whether isotropic or anisotropic) in also user prescribed stress and strain measures and the model almost exactly replicates the experimental data. The procedure is based on the piece-wise splines model by Sussman and Bathe and may be easily generalized to transversely isotropic and orthotropic materials. The model is also amenable of efficient finite element implementation. In this paper we briefly describe the general procedure, addressing the advantages and limitations. We give predictions for arbitrary ?experimental data? and also give predictions for actual experiments of the behaviour of living soft tissues. The model may be also implemented in a general purpose finite element program. Since the obtained strain energy functions are analytic piece-wise functions, the constitutive tangent may be readily derived in order to be used for implicit static problems, where the equilibrium iterations must be performed and the material tangent is needed in order to preserve the quadratic rate of convergence of Newton procedures.

Crack mechanical failure in lithium niobate crystal under ion irradiation; novel simulation by extended finite elements

Swift heavy ion irradiation (ions with mass heavier than 15 and energy exceeding MeV/amu) transfer their energy mainly to the electronic system with small momentum transfer per collision. Therefore, they produce linear regions (columnar nano-tracks) around the straight ion trajectory, with marked modifications with respect to the virgin material, e.g., phase transition, amorphization, compaction, changes in physical or chemical properties. In the case of crystalline materials the most distinctive feature of swift heavy ion irradiation is the production of amorphous tracks embedded in the crystal. Lithium niobate is a relevant optical material that presents birefringence due to its anysotropic trigonal structure. The amorphous phase is certainly isotropic. In addition, its refractive index exhibits high contrast with those of the crystalline phase. This allows one to fabricate waveguides by swift ion irradiation with important technological relevance. From the mechanical point of view, the inclusion of an amorphous nano-track (with a density 15% lower than that of the crystal) leads to the generation of important stress/strain fields around the track. Eventually these fields are the origin of crack formation with fatal consequences for the integrity of the samples and the viability of the method for nano-track formation. For certain crystal cuts (X and Y), these fields are clearly anisotropic due to the crystal anisotropy. We have used finite element methods to calculate the stress/strain fields that appear around the ion-generated amorphous nano-tracks for a variety of ion energies and doses. A very remarkable feature for X cut-samples is that the maximum shear stress appears on preferential planes that form +/-45º with respect to the crystallographic planes. This leads to the generation of oriented surface cracks when the dose increases. The growth of the cracks along the anisotropic crystal has been studied by means of novel extended finite element methods, which include cracks as discontinuities. In this way we can study how the length and depth of a crack evolves as function of the ion dose. In this work we will show how the simulations compare with experiments and their application in materials modification by ion irradiation.

Crack mechanical failure in ceramic materials under ion irradiation: case of lithium niobate crystal

Swift heavy ion irradiation (ions with mass heavier than 15 and energy exceeding MeV/amu) transfer their energy mainly to the electronic system with small momentum transfer per collision. Therefore, they produce linear regions (columnar nano-tracks) around the straight ion trajectory, with marked modifications with respect to the virgin material, e.g., phase transition, amorphization, compaction, changes in physical or chemical properties. In the case of crystalline materials the most distinctive feature of swift heavy ion irradiation is the production of amorphous tracks embedded in the crystal. Lithium niobate is a relevant optical material that presents birefringence due to its anysotropic trigonal structure. The amorphous phase is certainly isotropic. In addition, its refractive index exhibits high contrast with those of the crystalline phase. This allows one to fabricate waveguides by swift ion irradiation with important technological relevance. From the mechanical point of view, the inclusion of an amorphous nano-track (with a density 15% lower than that of the crystal) leads to the generation of important stress/strain fields around the track. Eventually these fields are the origin of crack formation with fatal consequences for the integrity of the samples and the viability of the method for nano-track formation. For certain crystal cuts (X and Y), these fields are clearly anisotropic due to the crystal anisotropy. We have used finite element methods to calculate the stress/strain fields that appear around the ion- generated amorphous nano-tracks for a variety of ion energies and doses. A very remarkable feature for X cut-samples is that the maximum shear stress appears on preferential planes that form +/-45º with respect to the crystallographic planes. This leads to the generation of oriented surface cracks when the dose increases. The growth of the cracks along the anisotropic crystal has been studied by means of novel extended finite element methods, which include cracks as discontinuities. In this way we can study how the length and depth of a crack evolves as function of the ion dose. In this work we will show how the simulations compare with experiments and their application in materials modification by ion irradiation.

Detailed damage mechanisms assessment in composite materials by means of X-ray tomography

This research focused on the evaluation of damage formation on ±45º carbon fiber laminates subjected to tensile tests. The damage was evaluated by means of X-ray tomography. A high density of cracks developed during the plateau of the stress-strain curve and were qualitatively analyzed, showing that the inner plies eventually developed a higher crack concentration than the outer plies. Delamination started to occur in the outermost ply interface when the slope after the plateau of the stress-strain curve began to increase.

Effect of fire on the microstructure and mechanical response of structural steels for building construction

The research is an exhaustive study of the microstructure and of the stress-strain curves of structural steel S460N at temperatures typical of a fire. It includes a fractographic study of the fracture suifaces of cylindrical specimens, tensile tested at different fire scenarios, explaining the relationship between the failure micromechanisms and temperature. The paper ends with the comparison between the experimentally found strain-stress curves with that one's proposed by the EUROCODE EC3, resulting that in the case of steel S460N these are on the side ofsafety.