Análisis comparativo de series temporales de precio de diferentes metales : obtención de una serie -resumen

El objetivo de este proyecto de investigación es analizar el conjunto de las diez series temporales, relativas a los precios de diez metales (plata, aluminio, oro, cobre, níquel, paladio, plomo, platino, estaño y zinc), comprendidos en el periodo de enero de 2008 a septiembre de 2013, con el objetivo de reducir la dimensionalidad del conjunto de datos y facilitar la comparación de los mismos y la predicción de valores futuros. Para ello pretendemos aplicar una metodología, que nos permitirá deducir, a partir de una serie resumen y de unos coeficientes multiplicativos, la evolución del comportamiento de cualquier otro metal. Pese a la escasísima documentación existente al respecto, se valorará e intentará aplicarse una reciente metodología denominada “Metodología del haz de rectas” Como herramienta de trabajo para los programas informáticos desarrollados y para representar las gráficas asociadas al proyecto, se utilizó Matlab®, habida cuenta de su enorme potencia y por disponer de un lenguaje de programación sencillo y lo suficientemente versátil para las tareas que necesitamos. Abstract. The objective of this research project is to analyze the set of ten time series on prices of the ten metals (silver, aluminum, gold, copper, nickel, palladium, lead, platinum, tin and zinc), included in the period January 2008 to September 2013, with the aim of reducing the dimensionality of the data set and to facilitate comparison of the data and the prediction of future values To apply this methodology, allowing us to predict, from a series summarizes the evolution of the behavior of any other metal. This methodology is called "straight beam Methodology" As a tool for developing computer software and associated graphs to represent the project, Matlab® was used in view of its enormous power and have a simple programming language and versatile enough for the tasks we need

Flow and fracture behaviour of high performance alloys

Based on our needs, that is to say, through precise simulation of the impact phenomena that may occur inside a jet engine turbine with an explicit non-linear finite element code, four new material models are postulated. Each one of is calibrated for four high-performance alloys that can be encountered in a modern jet engine. A new uncoupled material model for high strain and ballistic is proposed. Based on a Johnson-Cook type model, the proposed formulation introduces the effect of the third deviatoric invariant by means of three different Lode angle dependent functions. The Lode dependent functions are added to both plasticity and failure models. The postulated model is calibrated for a 6061-T651 aluminium alloy with data taken from the literature. The fracture pattern predictability of the JCX material model is shown performing numerical simulations of various quasi-static and dynamic tests. As an extension of the above-mentioned model, a modification in the thermal softening behaviour due to phase transformation temperatures is developed (JCXt). Additionally, a Lode angle dependent flow stress is defined. Analysing the phase diagram and high temperature tests performed, phase transformation temperatures of the FV535 stainless steel are determined. The postulated material model constants for the FV535 stainless steel are calibrated. A coupled elastoplastic-damage material model for high strain and ballistic applications is presented (JCXd). A Lode angle dependent function is added to the equivalent plastic strain to failure definition of the Johnson-Cook failure criterion. The weakening in the elastic law and in the Johnson-Cook type constitutive relation implicitly introduces the Lode angle dependency in the elastoplastic behaviour. The material model is calibrated for precipitation hardened Inconel 718 nickel-base superalloy. The combination of a Lode angle dependent failure criterion with weakened constitutive equations is proven to predict fracture patterns of the mechanical tests performed and provide reliable results. A transversely isotropic material model for directionally solidified alloys is presented. The proposed yield function is based a single linear transformation of the stress tensor. The linear operator weighs the degree of anisotropy of the yield function. The elastic behaviour, as well as the hardening, are considered isotropic. To model the hardening, a Johnson-Cook type relation is adopted. A material vector is included in the model implementation. The failure is modelled with the Cockroft-Latham failure criterion. The material vector allows orienting the reference orientation in any other that the user may need. The model is calibrated for the MAR-M 247 directionally solidified nickel-base superalloy.