Análisis del comportamiento a fatiga de uniones adhesivas de acero recubierto

Los adhesivos se conocen y han sido utilizados en multitud de aplicaciones a lo lago de la historia. En la actualidad, la tecnología de la adhesión como método de unión de materiales estructurales está en pleno crecimiento. Los avances científicos han permitido comprender mejor los fenómenos de adhesión, así como, mejorar y desarrollar nuevas formulaciones poliméricas que incrementan el rango de aplicaciones de los adhesivos. Por otro lado, el desarrollo de nuevos materiales y la necesidad de aligerar peso, especialmente en el sector transporte, hace que las uniones adhesivas se introduzcan en aplicaciones hasta ahora reservadas a otros sistemas de unión como la soldadura o las uniones mecánicas, ofreciendo rendimientos similares y, en ocasiones, superiores a los aportados por estas. Las uniones adhesivas ofrecen numerosas ventajas frente a otros sistemas de unión. En la industria aeronáutica y en automoción, las uniones adhesivas logran una reducción en el número de componentes (tales como los tornillos, remaches, abrazaderas) consiguiendo como consecuencia diseños más ligeros y una disminución de los costes de manipulación y almacenamiento, así como una aceleración de los procesos de ensamblaje, y como consecuencia, un aumento de los procesos de producción. En el sector de la construcción y en la fabricación de equipos industriales, se busca la capacidad para soportar la expansión y contracción térmica. Por lo tanto, se usan las uniones adhesivas para evitar producir la distorsión del sustrato al no ser necesario el calentamiento ni la deformación de las piezas cuando se someten a un calentamiento elevado y muy localizado, como en el caso de la soldadura, o cuando se someten a esfuerzos mecánicos localizados, en el caso de montajes remachados. En la industria naval, se están desarrollando técnicas de reparación basadas en la unión adhesiva para distribuir de forma más uniforme y homogénea las tensiones con el objetivo de mejorar el comportamiento frente a fatiga y evitar los problemas asociados a las técnicas de reparación habituales de corte y soldadura. Las uniones adhesivas al no requerir importantes aportes de calor como la soldadura, no producen modificaciones microestructurales indeseables como sucede en la zona fundida o en la zona afectada térmicamente de las uniones soldadas, ni deteriora los recubrimientos protectores de metales de bajo punto de fusión o de naturaleza orgánica. Sin embargo, las uniones adhesivas presentan una desventaja que dificulta su aplicación, se trata de su durabilidad a largo plazo. La primera causa de rotura de los materiales es la rotura por fatiga. Este proceso de fallo es la causa del 85% de las roturas de los materiales estructurales en servicio. La rotura por fatiga se produce cuando se somete al material a la acción de cargas que varían cíclicamente o a vibraciones durante un tiempo prolongado. Las uniones y estructuras sometidas a fatiga pueden fallar a niveles de carga por debajo del límite de resistencia estática del material. La rotura por fatiga en las uniones adhesivas no se produce por un proceso de iniciación y propagación de grieta de forma estable, el proceso de fatiga va debilitando poco a poco la unión hasta que llega un momento que provoca una rotura de forma rápida. Underhill explica este mecanismo como un proceso de daño irreversible de los enlaces más débiles en determinados puntos de la unión. Cuando se ha producido el deterioro de estas zonas más débiles, su área se va incrementando hasta que llega un momento en que la zona dañada es tan amplia que se produce el fallo completo de la unión. En ensayos de crecimiento de grieta realizados sobre probetas preagrietadas en viga con doble voladizo (DCB), Dessureault identifica los procesos de iniciación y crecimiento de grietas en muestras unidas con adhesivo epoxi como una acumulación de microfisuras en la zona próxima al fondo de grieta que, luego, van coalesciendo para configurar la grieta principal. Lo que supone, igualmente, un proceso de daño del adhesivo en la zona de mayor concentración de tensiones que, posteriormente, conduce al fallo de la unión. La presente tesis surge con el propósito de aumentar los conocimientos existentes sobre el comportamiento a fatiga de las uniones adhesivas y especialmente las realizadas con dos tipos de adhesivos estructurales aplicados en aceros con diferentes acabados superficiales. El estudio incluye la obtención de las curvas de tensión frente al número de ciclos hasta el fallo del componente, curvas SN o curvas de Wöhler, que permitirán realizar una estimación de la resistencia a la fatiga de un determinado material o estructura. Los ensayos de fatiga realizados mediante ciclos predeterminados de carga sinusoidales, de amplitud y frecuencia constantes, han permitido caracterizar el comportamiento a la fatiga por el número de ciclos hasta la rotura, siendo el límite de fatiga el valor al que tiende la tensión cuando el número de ciclos es muy grande. En algunos materiales, la fatiga no tiende a un valor límite sino que decrece de forma constante a medida que aumenta el número de ciclos. Para estas situaciones, se ha definido la resistencia a la fatiga (o límite de resistencia) por la tensión en que se produce la rotura para un número de ciclos predeterminado. Todos estos aspectos permitirán un mejor diseño de las uniones y las condiciones de trabajo de los adhesivos con el fin de lograr que la resistencia a fatiga de la unión sea mucho más duradera y el comportamiento total de la unión sea mucho mejor, contribuyendo al crecimiento de la utilización de las uniones adhesivas respecto a otras técnicas. ABSTRACT Adhesives are well-known and have been used in many applications throughout history. At present, adhesion bonding technology of structural materials is experiencing an important growth. Scientific advances have enabled a better understanding of the phenomena of adhesion, as well as to improve and develop new polymeric formulations that increase the range of applications. On the other hand, the development of new materials and the need to save weight, especially in the transport sector, have promote the use of adhesive bonding in many applications previously reserved for other joining technologies such as welded or mechanical joints, presenting similar or even higher performances. Adhesive bonding offers many advantages over other joining methods. For example, in the aeronautic industry and in the automation sector, adhesive bonding allows a reduction in the number of components (such as bolts, rivets, clamps) and as consequence, resulting in lighter designs and a decrease in handling and storage costs, as well as faster assembly processes and an improvement in the production processes. In the construction sector and in the industrial equipment manufacturing, the ability to withstand thermal expansion and contraction is required. Therefore, adhesion bonding technology is used to avoid any distortion of the substrate since this technology does not require heating nor the deformation of the pieces when these are exposed to very high and localized heating, as in welding, or when are subjected to localized mechanical stresses in the case of riveted joints. In the naval industry, repair techniques based in the adhesive bonding are being developed in order to distribute stresses more uniform and homogeneously in order to improve the performance against fatigue and to avoid the problems associated with standard repair techniques as cutting and welding. Adhesive bonding does not require the use of high temperatures and as consequence they do not produce undesirable microstructural changes, as it can be observed in molten zones or in heat-affected zones in the case of welding, neither is there damage of the protective coating of metals with low melting points or polymeric films. However, adhesive bonding presents a disadvantage that limits its application, the low longterm durability. The most common cause of fractures of materials is fatigue fracture. This failure process is the cause of 85% of the fracture of structural materials in service. Fatigue failure occurs when the materials are subjected to the action of cyclic loads or vibrations for a long period of time. The joints and structures subjected to fatigue can fail at stress values below the static strength of the material. Fatigue failure do not occurs by a static and homogeneous process of initiation and propagation of crack. The fatigue process gradually weakens the bond until the moment in which the fracture occurs very rapidly. Underhill explains this mechanism as a process of irreversible damage of the weakest links at certain points of the bonding. When the deterioration in these weaker zones occurs, their area increase until the damage zone is so extensive that the full failure of the joint occurs. During the crack growth tests performed on precracked double-cantilever beam specimen, (DCB), Dessureault identified the processes of crack initiation and growth in samples bonded with epoxy adhesive as a process of accumulation of microcracks on the zone near the crack bottom, then, they coalesced to configure the main crack. This is a damage process of the adhesive in the zone of high stress concentration that leads to failure of the bond. This thesis aims to further the understanding of the fatigue behavior of the adhesive bonding, primarily those based on two different types of structural adhesives used on carbon-steel with different surface treatments. This memory includes the analysis of the SN or Wöhler curves (stress vs. number of cycles curves up to the failure), allowing to carry out an estimation of the fatigue strength of a specific material or structure. The fatigue tests carried out by means of predetermined cycles of sinusoidal loads, with a constant amplitude and frequency, allow the characterisation of the fatigue behaviour. For some materials, there is a maximum stress amplitude below which the material never fails for any number of cycles, known as fatigue limit. In the other hand, for other materials, the fatigue does not tend toward a limit value but decreases constantly as the number of cycles increases. For these situations, the fatigue strength is defined by the stress at which the fracture occurs for a predetermined number of cycles. All these aspects will enable a better joint design and service conditions of adhesives in order to get more durable joints from the fatigue failure point of view and in this way contribute to increase the use of adhesive bonding over other joint techniques.

Urban microclimate and thermal comfort modelling: strategies for urban renovation

The urban microclimate plays an important role in building energy consumption and thermal comfort in outdoor spaces. Nowadays, cities need to increase energy efficiency, reduce pollutant emissions and mitigate the evident lack of sustainability. In light of this, attention has focused on the bioclimatic concepts use in the urban development. However, the speculative unsustainability of the growth model highlights the need to redirect the construction sector towards urban renovation using a bioclimatic approach. The public space plays a key role in improving the quality of today’s cities, especially in terms of providing places for citizens to meet and socialize in adequate thermal conditions. Thermal comfort affects perception of the environment, so microclimate conditions can be decisive for the success or failure of outdoor urban spaces and the activities held in them. For these reasons, the main focus of this work is on the definition of bioclimatic strategies for existing urban spaces, based on morpho-typological components, urban microclimate conditions and comfort requirements for all kinds of citizens. Two case studies were selected in Madrid, in a social housing neighbourhood constructed in the 1970s based on Rational Architecture style. Several renovation scenarios were performed using a computer simulation process based in ENVI-met and diverse microclimate conditions were compared. In addition, thermal comfort evaluation was carried out using the Universal Thermal Climate Index (UTCI) in order to investigate the relationship between microclimate conditions and thermal comfort perception. This paper introduces the microclimate computer simulation process as a valuable support for decision-making for neighbourhood renovation projects in order to provide new and better solutions according to the thermal quality of public spaces and reducing energy consumption by creating and selecting better microclimate areas.

An empirical mixed model to quantify climate influence on the growth of Pinus halepensis Mill. stands in South-Eastern Spain

The influence of climate on forest stand composition, development and growth is undeniable. Many studies have tried to quantify the effect of climatic variables on forest growth and yield. These works become especially important because there is a need to predict the effects of climate change on the development of forest ecosystems. One of the ways of facing this problem is the inclusion of climatic variables into the classic empirical growth models. The work has a double objective: (i) to identify the indicators which best describe the effect of climate on Pinus halepensis growth and (ii) to quantify such effect in several scenarios of rainfall decrease which are likely to occur in the Mediterranean area. A growth mixed model for P. halepensis including climatic variables is presented in this work. Growth estimates are based on data from the Spanish National Forest Inventory (SNFI). The best results are obtained for the indices including rainfall, or rainfall and temperature together, with annual precipitation, precipitation effectiveness, Emberger?s index or free bioclimatic intensity standing out among them. The final model includes Emberger?s index, free bioclimatic intensity and interactions between competition and climate indices. The results obtained show that a rainfall decrease about 5% leads to a decrease in volume growth of 5.5?7.5% depending on site quality.

A model of the spatially dependent mechanical properties of the axon during its growth

Neuronal growth is a complex process involving many intra- and extracellular mechanisms which are collaborating conjointly to participate to the development of the nervous system. More particularly, the early neocortical development involves the creation of a multilayered structure constituted by neuronal growth (driven by axonal or dendritic guidance cues) as well as cell migration. The underlying mechanisms of such structural lamination not only implies important biochemical changes at the intracellular level through axonal microtubule (de)polymerization and growth cone advance, but also through the directly dependent stress/stretch coupling mechanisms driving them. Efforts have recently focused on modeling approaches aimed at accounting for the effect of mechanical tension or compression on the axonal growth and subsequent soma migration. However, the reciprocal influence of the biochemical structural evolution on the mechanical properties has been mostly disregarded. We thus propose a new model aimed at providing the spatially dependent mechanical properties of the axon during its growth. Our in-house finite difference solver Neurite is used to describe the guanosine triphosphate (GTP) transport through the axon, its dephosphorylation in guanosine diphosphate (GDP), and thus the microtubules polymerization. The model is calibrated against experimental results and the tensile and bending mechanical stiffnesses are ultimately inferred from the spatially dependent microtubule occupancy. Such additional information is believed to be of drastic relevance in the growth cone vicinity, where biomechanical mechanisms are driving axonal growth and pathfinding. More specifically, the confirmation of a lower stiffness in the distal axon ultimately participates in explaining the controversy associated to the tensile role of the growth cone.

An embedded cohesive crack model for finite element analysis of quasi-brittle materials

This paper presents a numerical implementation of the cohesive crack model for the anal-ysis of quasibrittle materials based on the strong discontinuity approach in the framework of the finite element method. A simple central force model is used for the stress versus crack opening curve. The additional degrees of freedom defining the crack opening are determined at the crack level, thus avoiding the need for performing a static condensation at the element level. The need for a tracking algorithm is avoided by using a consistent pro-cedure for the selection of the separated nodes. Such a model is then implemented into a commercial program by means of a user subroutine, consequently being contrasted with the experimental results. The model takes into account the anisotropy of the material. Numerical simulations of well-known experiments are presented to show the ability of the proposed model to simulate the fracture of quasibrittle materials such as mortar, concrete and masonry.

The Cohesive Crack Model Applied To Notched PMMA Specimens Obeying a Non Linear Behaviour Under Torsion Loading

This article presents a new material model developed with the aim of analyzing failure of blunt notched components made of nonlinear brittle materials. The model, which combines the cohesive crack model with Hencky's theory of total deformations, is used to simulate an experimental benchmark carried out previously by the authors. Such combination is achieved through the embedded crack approach concept. In spite of the unavailability of precise material data, the numerical predictions obtained show good agreement with the experimental results.

Simulating potential growth and yield of oil palm (Elaeis guineensis) with PALMSIM: Model description, evaluation and application.

Reducing the gap between water-limited potential yield and actual yield in oil palm production systems through intensification is seen as an important option for sustainably increasing palm oil production. Simulation models can play an important role in quantifying water-limited potential yield, and therefore the scope for intensification, but no oil palm model exists that is both simple enough and at the same time incorporates sufficient plant physiological knowledge to be generally applicable across sites with different growing conditions. The objectives of this study therefore were to develop a model (PALMSIM) that simulates, on a monthly time step, the potential growth of oil palm as determined by solar radiation and to evaluate model performance against measured oil palm yields under optimal water and nutrient management for a range of sites across Indonesia and Malaysia. The maximum observed yield in the field matches the corresponding simulated yield for dry bunch weight with a RMSE of 1.7 Mg ha?1 year?1 against an observed yield of 18.8 Mg ha?1. Sensitivity analysis showed that PALMSIM is robust: simulated changes in yield caused by modifying the parameters by 10% are comparable to other tree crop model evaluations. While we acknowledge that, depending on the soils and climatic environment, yields may be often water limited, we suggest a relatively simple physiological approach to simulate potential yield, which can be usefully applied to high rainfall environments and is considered as a first step in developing an oil palm model that also simulates water-limited potential yield. To illustrate the application possibil- ities of the model, PALMSIM was used to create a potential yield map for Indonesia and Malaysia by sim- ulating the growth and yield at a resolution of 0.1?. This map of potential yield is considered as a first step towards a decision support tool that can identify potentially productive, but at the moment degraded sites in Indonesia and Malaysia. ?

On a mathematical model of tumor growth based on cancer stem cells

We consider a simple mathematical model of tumor growth based on cancer stem cells. The model consists of four hyperbolic equations of first order to describe the evolution of different subpopulations of cells: cancer stem cells, progenitor cells, differentiated cells and dead cells. A fifth equation is introduced to model the evolution of the moving boundary. The system includes non-local terms of integral type in the coefficients. Under some restrictions in the parameters we show that there exists a unique homogeneous steady state which is stable.

Type-I intermittency with discontinuous reinjection probability density in a truncation model of the derivative nonlinear Schrödinger equation

In previous papers, the type-I intermittent phenomenon with continuous reinjection probability density (RPD) has been extensively studied. However, in this paper type-I intermittency considering discontinuous RPD function in one-dimensional maps is analyzed. To carry out the present study the analytic approximation presented by del Río and Elaskar (Int. J. Bifurc. Chaos 20:1185-1191, 2010) and Elaskar et al. (Physica A. 390:2759-2768, 2011) is extended to consider discontinuous RPD functions. The results of this analysis show that the characteristic relation only depends on the position of the lower bound of reinjection (LBR), therefore for the LBR below the tangent point the relation {Mathematical expression}, where {Mathematical expression} is the control parameter, remains robust regardless the form of the RPD, although the average of the laminar phases {Mathematical expression} can change. Finally, the study of discontinuous RPD for type-I intermittency which occurs in a three-wave truncation model for the derivative nonlinear Schrodinger equation is presented. In all tests the theoretical results properly verify the numerical data

A discrete spectral model for intermediate crack debonding in FRP-strengthened RC beams

One of the common failure modes of reinforced concrete (RC) beams strengthened in flexure with a bonded fibre-reinforced polymer (FRP) is intermediate crack (IC) debonding, which is originated at a critical section in the vicinity of flexural cracks and propagates to a plate end. Despite considerable research over the last years, few reliable and simplified IC debonding strength models have been developed. This paper firstly presents a one-dimensional model based on the discrete crack approach for concrete and the spectral element method for the numerical simulation of the IC debonding process. The progressive formation of flexural cracks and subsequent concrete-FRP interfacial debonding is formulated by the introduction of a new element able to represent both phenomena simultaneously without perturbing the numerical procedure. Furthermore, with the proposed model, high frequency dynamic response for these kinds of structures can also be obtained in a very simple and non-expensive way, which makes this procedure very useful as a tool for diagnoses and detection of debonding in its initial stage by monitoring the change in local dynamic characteristics.

A simple mathematical model that describes the growth of the area and the number of total and viable cells in yeast colonies

We propose a model, based on the Gompertz equation, to describe the growth of yeasts colonies on agar medium. This model presents several advantages: (i) one equation describes the colony growth, which previously needed two separate ones (linear increase of radius and of the squared radius); (ii) a similar equation can be applied to total and viable cells, colony area or colony radius, because the number of total cells in mature colonies is proportional to their area; and (iii) its parameters estimate the cell yield, the cell concentration that triggers growth limitation and the effect of this limitation on the specific growth rate. To elaborate the model, area, total and viable cells of 600 colonies of Saccharomyces cerevisiae, Debaryomyces fabryi, Zygosaccharomyces rouxii and Rhodotorula glutinis have been measured. With low inocula, viable cells showed an initial short exponential phase when colonies were not visible. This phase was shortened with higher inocula. In visible or mature colonies, cell growth displayed Gompertz-type kinetics. It was concluded that the cells growth in colonies is similar to liquid cultures only during the first hours, the rest of the time they grow, with near-zero specific growth rates, at least for 3 weeks.

Sildenafil citrate modifies fetoplacental development in a rabbit model of intrauterine growth restriction

The failure of fetuses to achieve the ir full growth potential is known as intrauterine growth restriction (IUGR). Silde nafil citrate (SC) is a phosphodiesterase 5 (PDE 5) inhibitor, which enhances nitric oxide (NO) dependent vasodilatation, adn it may have a potential therapeutic role in the treatment of IUGR.

Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean

We study a climatologically important interaction of two of the main components of the geophysical system by adding an energy balance model for the averaged atmospheric temperature as dynamic boundary condition to a diagnostic ocean model having an additional spatial dimension. In this work, we give deeper insight than previous papers in the literature, mainly with respect to the 1990 pioneering model by Watts and Morantine. We are taking into consideration the latent heat for the two phase ocean as well as a possible delayed term. Non-uniqueness for the initial boundary value problem, uniqueness under a non-degeneracy condition and the existence of multiple stationary solutions are proved here. These multiplicity results suggest that an S-shaped bifurcation diagram should be expected to occur in this class of models generalizing previous energy balance models. The numerical method applied to the model is based on a finite volume scheme with nonlinear weighted essentially non-oscillatory reconstruction and Runge–Kutta total variation diminishing for time integration.