Comportamento magnético de compósitos de matriz polimérica com adição de ferritas

Polymer matrix composites offer advantages for many applications due their combination of properties, which includes low density, high specific strength and modulus of elasticity and corrosion resistance. However, the application of non-destructive techniques using magnetic sensors for the evaluation these materials is not possible since the materials are non-magnetizable. Ferrites are materials with excellent magnetic properties, chemical stability and corrosion resistance. Due to these properties, these materials are promising for the development of polymer composites with magnetic properties. In this work, glass fiber / epoxy circular plates were produced with 10 wt% of cobalt or barium ferrite particles. The cobalt ferrite was synthesized by the Pechini method. The commercial barium ferrite was subjected to a milling process to study the effect of particle size on the magnetic properties of the material. The characterization of the ferrites was carried out by x-ray diffraction (XRD), field emission gun scanning electron microscopy (FEG-SEM) and vibrating sample magnetometry (VSM). Circular notches of 1, 5 and 10 mm diameter were introduced in the composite plates using a drill bit for the non-destructive evaluation by the technique of magnetic flux leakage (MFL). The results indicated that the magnetic signals measured in plates with barium ferrite without milling and cobalt ferrite showed good correlation with the presence of notches. The milling process for 12 h and 20 h did not contribute to improve the identification of smaller size notches (1 mm). However, the smaller particle size produced smoother magnetic curves, with fewer discontinuities and improved signal-to-noise ratio. In summary, the results suggest that the proposed approach has great potential for the detection of damage in polymer composites structures

Modeling the formation and propagation of desiccation cracks in soils

The problem of desiccation cracks in soils has received increasing attention in the last few years, in both experimental investigations and modeling. Experimental research has been mainly focused on the behavior of slurries subjected to drying in plates of different shapes, sizes and thickness. The main objectives of these studies were to learn about the process of crack formation under controlled environmental conditions, and also to better understand the effect of different factors (e.g. soil type, boundary conditions, soil thickness) on the morphology of the crack network. As for the numerical modeling, different approaches have been suggested lately to describe the behavior of drying cracks in soils. One aspect that it is still difficult to describe properly is the crack pattern observed in desiccated soils. This work presents a novel technique to model the behavior of drying soils. The crack patter observed in desiccation tests on circular plates are simulated with the main objective of predicting the effect of soil thickness on crack pattern. Good agreement between experimental results and model prediction are observed.

Influencia de un fluido en las características dinámicas de placas circulares y casicirculares

La influencia de un fluido en las características dinámicas de estructuras se ha estudiado desde hace tiempo. Sin embargo muchos estudios se refieren a aplicaciones bajo el agua, como es el caso del sonar de un submarino por lo que el fluido circundante se considera líquido (sin efectos de compresibilidad). Más recientemente en aplicaciones acústicas y espaciales tales como antenas o paneles muy ligeros, ha sido estudiada la influencia en las características dinámicas de una estructura rodeada por un fluido de baja densidad. Por ejemplo se ha mostrado que el efecto del aire en el transmisor-reflector del Intelsat VI C-B con un diámetro de 3,2 metros y con un peso de sólo 34,7 kg disminuye la primera frecuencia en torno a un 20% con respecto a su valor en vacío. Por tanto es importante en el desarrollo de estas grandes y ligeras estructuras disponer de un método con el que estimar el efecto del fluido circundante sobre las frecuencias naturales de éstas. De esta manera se puede evitar el ensayo de la estructura en una cámara de vacío que para el caso de una gran antena o panel puede ser difícil y costoso. Se ha desarrollado un método de elementos de contorno (BEM) para la determinación del efecto del fluido en las características dinámicas de una placa circular. Una vez calculados analíticamente los modos de vibración de la placa en vacío, la matriz de masa añadida debido a la carga del fluido se determina por el método de elementos de contorno. Este método utiliza anillos circulares de manera que el número de elementos para obtener unos resultados precisos es muy bajo. Se utiliza un procedimiento de iteración para el cálculo de las frecuencias naturales del acoplamiento fluido-estructura para el caso de fluido compresible. Los resultados del método se comparan con datos experimentales y otros modelos teóricos mostrando la precisión y exactitud para distintas condiciones de contorno de la placa. Por otro lado, a veces la geometría de la placa no es circular sino casi-circular y se ha desarrollado un método de perturbaciones para determinar la influencia de un fluido incompresible en las características dinámicas de placas casi-circulares. El método se aplica a placas con forma elíptica y pequeña excentricidad. Por una parte se obtienen las frecuencias naturales y los modos de deformación de la placa vibrando en vacío. A continuación, se calculan los coeficientes adimensionales de masa virtual añadida (factores NAVMI). Se presentan los resultados de estos factores y el efecto del fluido en las frecuencias naturales. ABSTRACT The influence of the surrounding fluid on the dynamic characteristics of structures has been well known for many years. However most of these works were more concerned with underwater applications, such as the sonar of a submarine and therefore the surrounding fluid was considered a liquid (negligible compressibility effects). Recently for acoustical and spatial applications such as antennas or very light panels the influence on the dynamic characteristics of a structure surrounded by a fluid of low density has been studied. Thus it has been shown that the air effect for the Intelsat VI C-B transmit reflector with a diameter of 3,2 meters and weighting only 34,7 kg decreases the first modal frequency by 20% with respect to the value in vacuum. It is important then, in the development of these light and large structures to have a method that estimates the effect that the surrounding fluid will have on the natural frequencies of the structure. In this way it can be avoided to test the structure in a vacuum chamber which for a large antenna or panel can be difficult and expensive A BEM method for the determination of the effect of the surrounding fluid on the dynamic characteristics of a circular plate has been developed. After the modes of the plate in vacuum are calculated in an analytical form, the added mass matrix due to the fluid loading is determined by a boundary element method. This method uses circular rings so the number of elements to obtain an accurate result is very low. An iteration procedure for the computation of the natural frequencies of the couple fluid-structure system is presented for the case of the compressibility effect of air. Comparisons of the present method with various experimental data and other theories show the efficiency and accuracy of the method for any support condition of the plate. On the other hand, sometimes the geometry of the plate is not circular but almost-circular, so a perturbation method is developed to determine the influence of an incompressible fluid on the dynamic characteristics of almost-circular plates. The method is applied to plates of elliptical shape with low eccentricity. First, the natural frequencies and the mode shapes of the plate vibrating in vacuum are obtained. Next, the nondimensional added virtual mass coefficients (NAVMI factors) are calculated. Results of this factors and the effect of the fluid on the natural frequencies are presented.

Sobre la solución del problema de la radiación electromagnética

En la presente Tesis Doctoral se propone una posible solución al problema de la radiación electromagnética. Este es un problema científico estudiado desde hace mucho tiempo y que hasta el presente no se ha podido resolver de manera exacta. Aquí se redefine nuevamente el problema y se plantea el mismo partiendo un modelo de radiador formado por dos placas planas circulares paralelas, que por sus reducidas dimensiones eléctricas, se considerará para el estudio como un dipolo simétrico corto. Se obtienen las soluciones de las ecuaciones de Maxwell para la radiación electromagnética emitida por dicho sistema y se propone lo que sería el principio de formación de las ondas electromagnéticas. Con ayuda de este se ofrece una posible interpretación de las soluciones obtenidas. Luego a dicho sistema se le realizan correcciones en sus dimensiones a fin de ajustar las soluciones obtenidas al caso real de un dipolo simétrico de media onda. Además se analiza de una manera sencilla la naturaleza material del campo electromagnético y su estructura, lo que hace posible proponer una manera original de comprender las ecuaciones de Maxwell. Finalmente se propone un modelo sencillo mediante el cual se puede demostrar la Ley de Planck para la distribución espectral de la energía electromagnética radiada por los cuerpos calientes, pero desde las soluciones de las ecuaciones de Maxwell para la radiación de las antenas. Con esto podría ser aceptado que la solución del problema de la radiación electromagnética es única tanto para las antenas como para los cuerpos calientes en la naturaleza. ABSTRACT In this PhD thesis a possible solution to the problem of electromagnetic radiation is proposed. This is a scientific problem which has been studied for a long time and to this day has still not exactly been solved. The problem is redefined here again and it is stated using a model formed by two flat parallel circular plates as the radiator system, which due to its reduced electrical dimensions will be considered for the study as a short symmetrical dipole. The solutions of the Maxwell equations for emitted electromagnetic radiation are obtained by said system, and that which could be the principle formation of electromagnetic waves is proposed. Using this principle, a possible interpretation of the solutions obtained is presented. Then the system will perform corrections in size to adjust the solutions obtained to the real case of a symmetrical half-wave dipole. The material nature of the electromagnetic field and its structure is also analyzed in a simple way, making it possible to present an original way to understand the Maxwell equations. Finally, a simple model which can be used to prove Planck's law of spectral distribution of the electromagnetic energy radiated by hot bodies is proposed, but parting from the solutions of the Maxwell equations for the antennas radiation. With this it could be accepted that the solution to the problem of electromagnetic radiation is unique to both antennas and hot bodies on nature.

Comportamento magnético de compósitos de matriz polimérica com adição de ferritas

Polymer matrix composites offer advantages for many applications due their combination of properties, which includes low density, high specific strength and modulus of elasticity and corrosion resistance. However, the application of non-destructive techniques using magnetic sensors for the evaluation these materials is not possible since the materials are non-magnetizable. Ferrites are materials with excellent magnetic properties, chemical stability and corrosion resistance. Due to these properties, these materials are promising for the development of polymer composites with magnetic properties. In this work, glass fiber / epoxy circular plates were produced with 10 wt% of cobalt or barium ferrite particles. The cobalt ferrite was synthesized by the Pechini method. The commercial barium ferrite was subjected to a milling process to study the effect of particle size on the magnetic properties of the material. The characterization of the ferrites was carried out by x-ray diffraction (XRD), field emission gun scanning electron microscopy (FEG-SEM) and vibrating sample magnetometry (VSM). Circular notches of 1, 5 and 10 mm diameter were introduced in the composite plates using a drill bit for the non-destructive evaluation by the technique of magnetic flux leakage (MFL). The results indicated that the magnetic signals measured in plates with barium ferrite without milling and cobalt ferrite showed good correlation with the presence of notches. The milling process for 12 h and 20 h did not contribute to improve the identification of smaller size notches (1 mm). However, the smaller particle size produced smoother magnetic curves, with fewer discontinuities and improved signal-to-noise ratio. In summary, the results suggest that the proposed approach has great potential for the detection of damage in polymer composites structures

On the holographic simulation of non-circular zone plates

New methods involving the manipulation of fundamental wavefronts (e.g., plane and spherical) with simple optical components such as pinholes and spherical lenses have been developed for the fabrication of elliptic, hyperbolic and conical holographic zone plates. Also parabolic zone plates by holographic techniques have been obtained for the first time. The performance behaviour of these zone plates has been studied. Further a phenomenological explanation is offered for the observed improved fringe contrast obtained with a spherical reference wave.

Integral transform solution for the forced convection of herschel-bulkley fluids in circular tubes and parallel-plates ducts

ABSTRACT: The thermal entry region in laminar forced convection of Herschel-Bulkley fluids is solved analytically through the integral transform technique, for both circular and parallel-plates ducts, which are maintained at a prescribed wall temperature or at a prescribed wall heat flux. The local Nusselt numbers are obtained with high accuracy in both developing and fully-developed thermal regions, and critical comparisons with previously reported numerical results are performed.

Experimental enquiry concerning the natural powers of wind and water to turn mills and other machines depending on a circular motion. And An experimental examination of the quantity and proportion of mechanic power necessary to be employed in giving different degrees of velocity to heavy bodies from a state of rest. Also New fundamental experiments upon the collision of bodies. With five plates of machines.

Goldsmiths'-Kress no. 16657.1.

Indentation failure of circular composite sandwich plates

A. Rajaneesh and A. R. Akisanya acknowledge the financial support from Nanyang Technological University, Singapore through award of Graduate Scholarship and Tan Chin Tuan (TCT) Visiting Fellowship, respectively. I. Sridhar thanks British High Commission, Singapore for facilitating a Collaborative Development Award (CDA) to visit UK Universities for research collaboration.

Indentation failure of circular composite sandwich plates

A. Rajaneesh and A. R. Akisanya acknowledge the financial support from Nanyang Technological University, Singapore through award of Graduate Scholarship and Tan Chin Tuan (TCT) Visiting Fellowship, respectively. I. Sridhar thanks British High Commission, Singapore for facilitating a Collaborative Development Award (CDA) to visit UK Universities for research collaboration.

Bending Of Circular Plate On Elastic-Foundation

The governing differential equation of linear, elastic, thin, circular plate of uniform thickness, subjected to uniformly distributed load and resting on Winkler-Pasternak type foundation is solved using ``Chebyshev Polynomials''. Analysis is carried out using Lenczos' technique, both for simply supported and clamped plates. Numerical results thus obtained by perturbing the differential equation for plates without foundation are compared and are found to be in good agreement with the available results. The effect of foundation on central deflection of the plate is shown in the form of graphs.

Elastic analysis of pin joints in plates under some combined pin and plate loads

Joints are primary sources of weakness in structures. Pin joints are very common and are used where periodic disassembly of components is needed. A circular pin in a circular hole in an infinitely large plate is an abstraction of such a pin joint. A two-dimensional plane-stress analysis of such a configuration is carried out, here, subjected to pin-bearing and/or biaxial-plate loading. The pin is assumed to be rigid compared to the plate material. For pin load the reactive stresses at the edges of the infinite plate tend to zero though their integral over the external boundary equals to the pin load. The pin-hole interface is unbonded and so beyond some load levels the plate separates from the pin and the extent of separation is a non-linear function of load level. The problem is solved by inverse technique where the extent of contact is specified and the causative loads are evaluated directly. In the situations where combined load is acting the separation-contact zone specification generally needs two parameters (angles) to be specified. The present report deals with analysing such a situation in metallic (or isotropic) plates. Numerical results are provided for parametric representation and the methodology is demonstrated.

Natural frequencies of circumferentially truncated sector plates with simply supported straight edges

The classical Rayleigh-Ritz method in conjunction with suitable co-ordinate transformations is found to be effective for accurate estimation of natural frequencies of circumferentially truncated circular sector plates with simply supported straight edges. Numerical results are obtained for all the nine combinations of clamped, simply supported and free boundary conditions at the circular edges and presented in the form of graphs. The analysis confirms an earlier observation that the plate behaves like a long rectangular strip as the width of the plate in the radial direction becomes small.

Natural frequencies of circumferentially truncated sector plates with simply supported straight edges

The classical Rayleigh-Ritz method in conjunction with suitable co-ordinate transformations is found to be effective for accurate estimation of natural frequencies of circumferentially truncated circular sector plates with simply supported straight edges. Numerical results are obtained for all the nine combinations of clamped, simply supported and free boundary conditions at the circular edges and presented in the form of graphs. The analysis confirms an earlier observation that the plate behaves like a long rectangular strip as the width of the plate in the radial direction becomes small.

Stresses in a thick plate with a circular hole under axisymmetric loading

An exact theoretical solution is given for the stresses and displacements in an infinite plate of finite thickness having a circular hole and subjected to axisymmetric normal leading. The solution is given in the form of Fourier-Bessel series and integral. Numerical results are given for stresses in plates having different thickness to hole diameter ratios and loadings. The results are compared with the available approximate theoretical and experimental results.