Stability analysis of linear thin shells

Shell structure is widely used in engineering area. The purpose of this dissertation is to show the behavior of a thin shell under external load, especially for long cylindrical shell under compressive load, I analyzed not only for linear elastic problem and also for buckling problem, and by using finite element analysis it shows that the imperfection of a cylinder could affect the critical load which means the buckling capability of this cylinder. For linear elastic problem, I compared the theoretical results with the results got from Straus7 and Abaqus, and the results are really close. For the buckling problem I did the same: compared the theoretical and Abaqus results, the error is less than 1%, but in reality, it’s not possible to reach the theoretical buckling capability due to the imperfection of the cylinder, so I put different imperfection for the cylinder in Abaqus, and found out that with the increasing of the percentage of imperfection, the buckling capability decreases, for example 10% imperfection could decrease 40% of the buckling capability, and the outcome meet the buckling behavior in reality.

Fracture in teeth—a diagnostic for inferring bite force and tooth function

Teeth are brittle and highly susceptible to cracking. We propose that observations of such cracking can be used as a diagnostic tool for predicting bite force and inferring tooth function in living and fossil mammals. Laboratory tests on model tooth structures and extracted human teeth in simulated biting identify the principal fracture modes in enamel. Examination of museum specimens reveals the presence of similar fractures in a wide range of vertebrates, suggesting that cracks extended during ingestion or mastication. The use of ‘fracture mechanics’ from materials engineering provides elegant relations for quantifying critical bite forces in terms of characteristic tooth size and enamel thickness. The role of enamel microstructure in determining how cracks initiate and propagate within the enamel (and beyond) is discussed. The picture emerges of teeth as damage-tolerant structures, full of internal weaknesses and defects and yet able to contain the expansion of seemingly precarious cracks and fissures within the enamel shell. How the findings impact on dietary pressures forms an undercurrent of the study.

Flow and fracture behaviour of FV535 steel at different triaxialities, strain rates and temperatures

The new generation jet engines operate at highly demanding working conditions. Such conditions need very precise design which implies an exhaustive study of the engine materials and behaviour in their extreme working conditions. With this purpose, this work intends to describe a numerically-based calibration of the widely-used Johnson–Cook fracture model, as well as its validation through high temperature ballistic impact tests. To do so, a widely-used turbine casing material is studied. This material is the Firth Vickers 535 martensitic stainless steel. Quasi-static tensile tests at various temperatures in a universal testing machine, as well as dynamic tests in a Split Hopkinson Pressure Bar, are carried out at different triaxialities. Using ABAQUS/Standard and LS-DYNA numerical codes, experimental data are matched. This method allows the researcher to obtain critical data of equivalent plastic strain and triaxility, which allows for more precise calibration of the Johnson–Cook fracture model. Such enhancement allows study of the fracture behaviour of the material across its usage temperature range.

Consolidation problems

The analysis of deformation in soils is of paramount importance in geotechnical engineering. For a long time the complex behaviour of natural deposits defied the ingenuity of engineers. The time has come that, with the aid of computers, numerical methods will allow the solution of every problem if the material law can be specified with a certain accuracy. Boundary Techniques (B.E.) have recently exploded in a splendid flowering of methods and applications that compare advantegeously with other well-established procedures like the finite element method (F.E.). Its application to soil mechanics problems (Brebbia 1981) has started and will grow in the future. This paper tries to present a simple formulation to a classical problem. In fact, there is already a large amount of application of B.E. to diffusion problems (Rizzo et al, Shaw, Chang et al, Combescure et al, Wrobel et al, Roures et al, Onishi et al) and very recently the first specific application to consolidation problems has been published by Bnishi et al. Here we develop an alternative formulation to that presented in the last reference. Fundamentally the idea is to introduce a finite difference discretization in the time domain in order to use the fundamental solution of a Helmholtz type equation governing the neutral pressure distribution. Although this procedure seems to have been unappreciated in the previous technical literature it is nevertheless effective and straightforward to implement. Indeed for the special problem in study it is perfectly suited, because a step by step interaction between the elastic and flow problems is needed. It allows also the introduction of non-linear elastic properties and time dependent conditions very easily as will be shown and compares well with performances of other approaches.

Análisis de elementos de madera reforzados con materiales compuestos

Gran parte del patrimonio construido cuenta con edificios cuya estructura está compuesta por elementos de madera. El volumen económico que supone el mantenimiento y renovación de dicho patrimonio es considerable, por ello, es de especial interés el estudio de las diferentes técnicas de refuerzo aplicables a este tipo de estructuras. Las estructuras de madera han sido tradicionalmente reforzadas con piezas del mismo material, aumentando la sección de los elementos dañados, o con acero. La aparición de los materiales compuestos de polímeros reforzados con fibras, y su progresiva aplicación en obras de construcción, hizo que a principios de la década de los noventa se comenzara a aplicar este material en refuerzos de estructuras de madera (Puente de Sins, 1992). La madera es un material natural con una excelente relación entre sus características mecánicas y su peso. Con el uso de materiales compuestos como refuerzo ésta característica se mantiene. En cuanto a su modelo constitutivo, se admite un comportamiento elástico lineal a tracción paralela a la fibra hasta la rotura, mientras que a compresión, se considera un comportamiento lineal elástico inicial, seguido de un tramo plástico. En vigas de madera aserrada sometidas a flexión predomina el modo de fallo por tracción localizándose la fractura frecuentemente en el canto inferior. Los FRP tienen un comportamiento elástico lineal a tracción hasta la rotura y cuentan con excelentes propiedades mecánicas en relación a su peso y volumen. Si se refuerza la viga por el canto inferior se aumentará su capacidad de absorber tracciones y por tanto, es previsible que se produzca un incremento en la capacidad de carga, así como un aumento de ductilidad. En este trabajo se analizan los beneficios que aportan distintos sistemas de refuerzos de materiales compuestos. El objetivo es contribuir al conocimiento de esta técnica para la recuperación o aumento de las propiedades resistentes de elementos de madera sometidos a flexión. Se ha llevado a cabo un estudio basado en datos obtenidos experimentalmente mediante el ensayo a flexión de vigas de madera de pino silvestre reforzadas con materiales compuestos. Las fibras que componen los tejidos utilizados para la ejecución de los refuerzos son de basalto y de carbono. En el caso de los compuestos de fibra de basalto se aplican en distintos gramajes, y los de carbono en tejido unidireccional y bidireccional. Se analiza el comportamiento de las vigas según las variables de refuerzo aplicadas y se comparan con los resultados de vigas ensayadas sin reforzar. Además se comprueba el ajuste del modelo de cálculo no lineal aplicado para predecir la carga de rotura de cada viga reforzada. Con este trabajo queda demostrado el buen funcionamiento del FRP de fibra de basalto aplicado en el refuerzo de vigas de madera y de los tejidos de carbono bidireccionales con respecto a los unidireccionales. ABSTRACT Many of the buildings of the built heritage include a structure composed by timber elements. The economic volume involved in the maintenance and renewal of this built heritage is considerable, therefore, the study of the different reinforcement techniques applicable to this type of structure is of special interest. The wooden structures have traditionally been reinforced either with steel or with pieces of the same material, increasing the section of the damaged parts. The emergence of polymer composites reinforced with fibers, and their progressive use in construction, started to be applied as reinforcement in timber structures at the beginning of the nineties decade in the 20th century (Sins Bridge, 1992). Wood is a natural material with an excellent ratio between its mechanic characteristics and its weight. This feature is maintained with the use of composites as reinforcement. In terms of its constitutive model, linear elastic behavior parallel to the fiber up to fracture is admitted when subjected to tensile stress, while under compression, an initial linear elastic behavior, followed by a section plasticizing, is considered. In sawn timber beams subjected to bending, the predominant failure is mainly due to tensile stress; and frequently the fracture is located at the beam lower face. The FRP have a linear elastic behavior until fracture occurs, and have excellent mechanical properties in relation to their weight and volume. If the beam is reinforced by its lower face, its capacity to absorb tensile stresses will increase, and therefore, an increase in its carrying capacity is likely to be produced, as well as an increase in ductility. This work analyzes the benefits different reinforcement systems of composite materials provide, with the aim of contributing to the knowledge of this technique for recovering or increasing the strength properties of timber elements subjected to bending loads. It is a study based on data obtained experimentally using bending tests of pine timber beams reinforced with composite materials. Fibers used for the execution of the reinforcement are basalt and carbon. Basalt fiber composites are applied in different grammages, whereas with carbon composites, unidirectional and bidirectional fabrics are used. The behavior of the beams was analyzed regarding the reinforcement variables applied, and the results are compared with those of the tested beams without reinforcement. Furthermore it has been proved adjunting the nonlinear calculation model applied to predict the failure load of each reinforced beam. This work proves the good behavior of fiber reinforce plastic (FRP) with basalt fiber when applied to timber beams, and that of bidirectional carbon fabrics as opposed to the unidirectional ones.

Finite element simulation of sandwich panels of plasterboard and rock wool under mixed mode fracture

This paper presents the results of research on mixed mode fracture of sandwich panels of plasterboard and rock wool. The experimental data of the performed tests are supplied. The specimens were made from commercial panels. Asymmetrical three-point bending tests were performed on notched specimens. Three sizes of geometrically similar specimens were tested for studying the size effect. The paper also includes the numerical simulation of the experimental results by using an embedded cohesive crack model.The involved parameters for modelling are previously measured by standardised tests.

Cover cracking of the reinforced concrete due to rebar corrosion induced by chloride penetration

Este artículo estudia el proceso de fisuración del hormigón por corrosión de la armadura. Se presenta un modelo de transporte de cloruros en el hormigón, que contempla la no-linealidad de los coeficientes de difusión, las isotermas de absorción y el fenómeno de convección. A partir de los resultados de penetración de cloruros, se establece la corrosión de la armadura con la consiguiente expansión radial. La fisuración del hormigón se estudia con un modelo de fisura embebida. Los dos modelos (iniciación y propagación) se incorporan en un programa de elementos finitos. El modelo se contrasta con resultados experimentales, obteniéndose un buen ajuste. Una de las dificultades es establecer el umbral de concentración de cloruros que da lugar al inicio de la corrosión de la armadura.This paper is focused on the chloride-induced corrosion of the rebar in RC. A comprehensive model for the chloride ingress into concrete is presented, with special attention to non-linear diffusion coefficients, chloride binding isotherms and convection phenomena. Based on the results of chloride diffusion, subsequent active corrosion is assumed and the radial expansion of the corroded reinforcement reproduced. For cracking simulation, the Strong Discontinuity Approach is applied. Both models (initiation and propagation corrosion stages) are incorporated in the same finite element program and chained. Comparisons with experimental results are carried out, with reasonably good agreements being obtained, especially for cracking patterns. Major limitations refer to difficulties to establish precise levels of basic data such as the chloride ion content at concrete surface, the chloride threshold concentration that triggers active corrosion, the rate of oxide production or the rust mechanical properties.

Madera termo-tratada de frondosas para uso estructural

La madera termotratada es madera modificada mediante un proceso térmico a elevadas temperaturas que le proporciona mayor estabilidad dimensional y durabilidad sin incorporar productos químicos perjudiciales para el medio ambiente. Hasta el momento se ha aplicado fundamentalmente a madera de coniferas por motivos económicos, siendo su uso más habitual en ambientes exteriores o de elevada humedad, como elementos de revestimiento no estructurales, carpinterías, mobiliario de jardín, etc. En la presente tesis se estudia la viabilidad de la madera termotratada de frondosas para uso estructural, en particular fresno (Fraxinus excelsior L) y haya (Fagus sylvatica L). Con este fin, y considerando que el termotratamiento modifica la estructura interna de la madera resultando en un nuevo material, se realizan estudios experimentales y numéricos para su caracterización. Estos trabajos se desarrollan bajo el enfoque de la Mecánica de Fractura debido a la pérdida de resistencia y aumento de fragilidad que presenta el material, especialmente a tracción perpendicular a las fibras. Así mismo, se lleva a cabo una recopilación de las bases, fundamentos y metodologías de esta teoría aplicados a madera sin tratar y otros materiales debido a la inexistencia de este tipo de estudios en madera termotratada. De igual manera se realiza un programa de caracterización mecánica del material para determinar sus propiedades elásticas considerando un modelo ortótropo, necesarios en la investigación del comportamiento a fractura. El trabajo derivó en el desarrollo de un nuevo método de ensayo para la determinación multiparamétrica a partir de un sólo espécimen, proporcionando resultados mucho más robustos que los obtenidos con la metodología convencional de ensayos. En base a los trabajos realizados, considerando las limitaciones de resistencia y fragilidad, así como la dudosa aplicabilidad de las normativas existentes en madera sin tratar, se aconseja no utilizar tratamientos térmicos intensos en elementos estructurales primarios. Se propone su aplicación en elementos secundarios, de manera que un posible colapso no implique una pérdida de fiabilidad global de la estructura. Se estudia la viabilidad de un panel sandwich innovador y ecológico para fachadas expuesto a cargas de viento, compuesto de madera termotratada en las caras y panel aislante de fibras de madera con función estructural en el alma. Esta investigación se desarrolló dentro del proyecto de investigación Europeo "Holiwood", Holistic implementation of European thermal treated hardwood (TMT) in the sector of construction industry and noise protection by sustainable, knowledge-based and value added products, perteneciente al sexto Programa Marco. ABSTRACT Hcat-trcatcd wood is modified wood by a thermal process at high temperatures which provides greater dimensional stability and durability without adding harmful chemicals to the environment. It has been mainly applied to softwoods due mainly to economical reasons, being its most common use outdoors or in high humidity environments, as non-structural elements, furniture, etc. The present Thesis studies the feasibility of heat-treated hardwoods for structural uses, particularly ash (Fraxinus excelsior L) and beech (Fagus sylvatica L). To this end, and considering that heat treatment modifies the internal structure of the wood resulting in a new material, experimental and numerical studies are performed for its characterization. This investigation is developed under the approach of Fracture Mechanics due to the loss of strength and the increase in brittlcncss of the material, especially in tension perpendicular to the grain. Likewise, it holds a collection of the bases, foundations and methodologies of this theory applied to untreated wood and other materials due to the lack of such studies in heat-treated wood. In addition, studies for the mechanical characterization of the material are performed in order to determine the elastic properties considering an orthotropic model. This work is necessary in the investigation of the fracture behavior. It led to the development of a new test method for multiparameter determination by using just a single specimen, providing much more robust results than those obtained with conventional test methodology. Based on this investigation, and considering the limitations of strength and brittleness, and the questionable applicability of existing standards for untreated wood, it is advised not to use intense heat treatments in primary structural elements. It is proposed the application to secondary elements, so that a possible collapse does not involve a loss of overall reliability of the structure. It is studied the feasibility of an innovative and ecological sandwich panel for facades exposed to wind loads, composed by heat-treated wood faces and insulating wood fiberboard with structural function in the core. This investigación was developed within the European research project "Holiwood", Holistic implementation of European thermal treated hardwood (TMT) in the sector of construction industry and noise protection by sustainable, knowledge-based and value added products, of the Sixth Framework Program.

Modelado de fractura dúctil sobre aceros modificados superficialmente 545-A

Históricamente la fractura ha sido considerada siempre como un efecto indeseado entre los materiales, dado que su aparición supone un cese del material en servicio, puesto que un material fracturado carece de importancia desde el punto de vista comercial. Consecuentemente, la Mecánica de Fractura ha experimentado un desarrollo importante en las últimas décadas como no lo hizo en toda la historia de los materiales. El desarrollo de nuevos campos a nivel científico y técnico han estado de la mano con el desarrollo de nuevos materiales que satisfagan las necesidades particulares de cada sector o aplicación. Este requerimiento se ve acentuado cuando se incorpora el aspecto económico, dado que, así como se necesitan materiales con mayor resistencia a la fractura, corrosión etc, también se necesita que su precio en el mercado sea accesible y que permita una aplicación rentable. En los últimos 70 años, desde los requerimientos de nuevos materiales resistentes a la fractura con los buques Liberty hasta el boom petrolero, pasando por las aplicaciones aeroespaciales se han desarrollado diversas teorías que explican el comportamiento de los materiales, en cuando a la tenacidad a la fractura en distintas temperaturas, composiciones químicas, materiales compuestos etc. Uno de los sectores que más ha demandado un desarrollo, por su amplitud en cuanto a requerimientos y consumo global, así como su impacto en la economía mundial, es el sector de gas, petróleo y petroquímica. Muchos de los proyectos que se intentaron desarrollar hasta hace menos de 25 años eran inviables por su elevado coste de ejecución y su bajo retorno de inversión debido a la caída de los precios del petróleo. Con una demanda creciente a nivel mundial y unos precios que apuntan hacia la estabilización o alza moderada, nuevos sistemas de trasporte por tuberías han sido necesarios desarrollar, desde el punto de vista de ingeniería, con el menos coste posible y de un modo seguro. Muchas de estas aplicaciones se vieron incrementadas cuando nuevos requerimientos en cuanto a resistencia a la corrosión fueron necesarios: demanda de materiales que no se corroan, con prestaciones seguras a nivel mecánico y un bajo coste. Esta nueva etapa se conoce como Aleaciones Resistentes a la Corrosión (CRA´s por sus siglas en inglés) en las cuales uno de los factores de diseño seguro recaían indiscutiblemente en la mecánica de fractura. Por estas razones era necesario entender como influía en la resistencia a la fractura las aportaciones que podrían hacerse sobre una superficie metálica. Al realizar el presente estudio se comenzó analizando la influencia que tenían modificaciones en el rango iónico sobre aceros al carbono. Estudios previos sobre láminas de acero ferrítico usadas en reactores de fisión nuclear demostraron que aportes de iones, en este particular el Helio, influían en el comportamiento de la tenacidad a la fractura en función de la temperatura. De este modo, un primer análisis fue hecho sobre la influencia de iones de nitrógeno aportados sobre superficies de acero al carbono y como modificaban su tenacidad a la fractura. Este primer análisis sirvió para comprobar el impacto que tenían pequeñas dosis de iones de nitrógeno en la tenacidad a la fractura. Otro desarrollo con una mayor aplicación industrial fue hecho sobre superficies de acero al carbono con aporte por soldadura de los materiales más usados para evitar la corrosión. El análisis se centró fundamentalmente en la influencia que tenían distintos materiales aportados como el MONEL 400, DUPLEX 928, INCONEL 625 y STAINLESS-STEEL 316 en referencia a características de diseño como la tensión elástica y la tensión a la rotura. Este análisis permitió conocer el impacto de los materiales aportados en los ensayos de tracción en probetas de acero al carbono. Una explicación acerca del comportamiento fue soportada por el análisis macrofractográfico de los perfiles fracturados y las macro deformaciones en la superficie de las probetas. Un posterior desarrollo teórico permitió modelar matemáticamente la fractura de las probetas aportadas por soldadura en la región elástica por medio de la Ley de Hooke, así como la teoría de Plasticidad de Hill para la región de deformación plástica. ABSTRACT Fracture mechanics has been extensively studied in the last 70 years by the constant requirements of new materials with low costs. These requirements have allowed surface modified welded materials in which it is necessary to know the influence of design fundamentals with the material surface welded. Several specimens have been studied for ductile fracture in longitudinal tensile tests for carbon steel surface-modified by weld overlay MONEL 400, DUPLEX 928, INCONEL 625 and STAINLESS-STEEL 316. Similarly of macro photographic analyzes to level the fractured surfaces that explain the behavior curves obtained in Tensile – displacement charts. The contribution of weld overlay material shows a significant impact on the yield and tensile stress of the specimens which was modeled according to Hooke's law for elastic area and Hill´s theory of plasticity to the plastic one.

Procedimento de avaliação de integridade estrutural de juntas soldadas circunferenciais em tubulações submarinas rígidas submetidas à flexão.

A demanda crescente por energia tem motivado a procura por petróleo e gás natural em ambientes com condições extremas, como operações em águas profundas e o transporte de fluídos corrosivos. Avanços tecnológicos recentes favorecem o uso de tubos de aço contendo uma camada interna resistente a corrosão (comumente chamados de Lined ou Clad Pipes) para o transporte de tais fluidos agressivos. Além disso, as tubulações submarinas são sujeitas a condições de instalação muito severas e, um caso de interesse, é o procedimento de reeling que permite com que a fabricação e inspeção da tubulação seja feita em terra. Apesar de possuir vantagens econômicas, a avaliação da integridade estrutural e especificação dos tamanhos toleráveis de trinca em juntas soldadas, nestas condições, torna-se uma tarefa complexa, devido a natureza dissimilar dos materiais e ao grande nível de deformação plástica no processo. Dessa maneira, este trabalho tem por objetivo o desenvolvimento de um procedimento de avaliação de forças motrizes elasto-plásticas em tubos contendo juntas soldadas circunferenciais sujeitos a flexão, para uma extensa gama de configurações geométricas. Dois métodos distintos foram desenvolvidos e analisados: a metodologia EPRI e o procedimento que utiliza a curva de tensão vs. deformação equivalente. As análises numéricas 3D fornecem os parâmetros de fratura necessários para a resolução do problema e a acurácia dos procedimentos é verificada a partir de estudos de casos e análises paramétricas.

Mechanics of pneumatic tires.

Mode of access: Internet.

Fracture toughness of Portland cement concretes /

Mode of access: Internet.

Micromechanics of agglomerate damage processes

This thesis reports a detailed investigation of the micromechanics of agglomerate behaviour under free-fall impact, double (punch) impact and diametrical compression tests using the simulation software TRUBAL. The software is based on the discrete element method (DEM) which incorporates the Newtonian equations of motion and contact mechanics theory to model the interparticle interactions. Four agglomerates have been used: three dense (differing in interface energy and contact density) and one loose. Although the simulated agglomerates are relatively coarse-grained, the results obtained are in good agreement with laboratory test results reported in the literature. The computer simulation results show that, in all three types of test, the loose agglomerate cannot fracture as it is unable to store sufficient elastic energy. Instead, it becomes flattened for low loading-rates and shattered or crushed at higher loading-rates. In impact tests, the dense agglomerates experience only local damage at low impact velocities. Semi-brittle fracture and fragmentation are produced over a range of higher impact velocities and at very high impact velocities shattering occurs. The dense agglomerates fracture in two or three large fragments in the diametrical compression tests. Local damage at the agglomerate-platen interface always occurs prior to fracture and consists of local bond breakage (microcrack formation) and local dislocations (compaction). The fracture process is dynamic and much more complex than that suggested by continuum fracture mechanics theory. Cracks are always initiated from the contact zones and propagate towards the agglomerate centre. Fracture occurs a short time after the start of unloading when a fracture crack "selection" process takes place. The detailed investigation of the agglomerate damage processes includes an examination of the evolution of the fracture surface. Detailed comparisons of the behaviour of the same agglomerate in all three types of test are presented. The particle size distribution curves of the debris are also examined, for both free-fall and double impact tests.

Fracture toughness of a series of high chromium abrasion resistant alloys

The fracture properties of a series of alloys containing 15% chromium and 0.8 to 3.4% carbon are investigated using strain fracture toughness testing techniques. The object of the work is to apply a quantitative method of measuring toughness to abrasion resistant materials, which have previously been assessed on an empirical basis; and to examine the relationship between microstructure and K10 in an attempt to improve the toughness of inherently brittle materials. A review of the relevant literature includes discussion of the background to the alloy series under investigation, a survey of the development of fracture mechanics and the emergence of K10 as a toughness parameter. Metallurgical variables such as composition, heat treatment, grain size, and hot working are ???? to relate microstructure to toughness, and fractographic evidence is used to substantiate the findings. The results are applied to a model correlating ductile fracture with plastic strain instability, and the nucleation of voids. Strain induced martensite formation in austenitic structures is analysed in terms of the plastic energy dissipation mechanisms operating at the crack tip. Emphasis is placed on the lower carbon alloys in the series, and a composition put forward to optimise wear resistance and toughness. The properties of established competitive materials are compared to the proposed alloy on a toughness and cost basis.

Fatigue cracking from stress concentration in mild steel

Pulsating; tension fatigue tests have been carried out on edge notched specimens of a mild steel. An electrical potential drop technique was used to determine the number of cycles taken to initiate cracks and the rate at which the cracks grew across the specimen. The results could be described by the range of stress intensity factor, which for crack initiation was modified to take account of the notch root radius. Analysis of elastic stress distributions at cracks and notches and models of plasticity at crack tips are used to discuss the results. Limited evidence in the literature indicates that the fracture mechanics approach may provide a general description of crack initiation and growth in notched specimens, and a simple graphical method of calculating fatigue lives is described. The results are used to illustrate the effects of specimen size and geometry on the fatigue life of notched specimens. The relevance of the work to the assessment of the significance of defects in welds is discussed.