MANDATORY (8 credits)
– Teaching internship (2 credits, mandatory) – AL5013
Course description and content: The teaching internship at undergraduate level is an essential part of the training of the graduate students enrolled in the stricto sensu graduate program. It includes the assignments of academic activities and tasks, under the supervision of a professor of the graduate program.
– Supervised study (2 credits, mandatory) – AL5014
Course description and content: Bibliographic survey and group discussion of material pertinent to the graduate course, under the supervision of a professor in the graduate program.
– Scientific work methodology (2 credits, mandatory) – AL5022
Course description and content: Methodological guidelines for reading, understanding and writing scientific texts. Main characteristics of the different research methods. Elaboration of a research proposal and choice of the research method. Importance of written communication in science. Sections of a scientific manuscript. Construction of figures and tables.
– Experimental planning and process optimization (2 credits, mandatory) – AL5025
Course description and content: Basic concepts of statistics. Factorial planning (complete and fractional). Model adjustment. Response surface analysis. Simplex method.
COMMON TO BOTH AREAS OF RESEARCH (electives)
– Introduction to nonlinear dynamics, chaos and applications (4 credits) – AL5016
Course description and content: 1. Introduction: Historical Review. Presentation of some models of Non-linear systems (continuums and maps). 2. Fundamental concepts of nonlinear and chaotic dynamics: Dynamic Systems; Phase space; Stability; balance and linearization points; Resonance; power spectra; attractors and fractals; Lyapunov exponents; Poincaré section; Chaos and Bifurcations. 3. Numerical methods of nonlinear dynamics: Time series; phase portraits; FFT; Lyapunov exponents; Poincaré section; bifurcation diagram. 4. Computational analysis of some applications: some models of engineering problems in the Matlab® environment.
– Matlab and its applications (2 credits) – AL5050
Course description and content: Introduction; Basic MATLAB resources; MATLAB programming; Basic SIMULINK Resources; Some engineering problems.
– Mathematical methods in engineering (4 credits) – AL5023
Course description and content: General Theory of Ordinary Differential Equations: Linear Differential Operator, Linear Ordinary Differential Equation, first order, existence and uniqueness of solution, Wronskian; Homogeneous and non-homogeneous equations, usual solution methods, solution by series of powers. The Laplace transform. Euclidean spaces: Internal products, norm, orthogonality, convergence. Fourier series. Convergence of the Fourier Series. Series in orthogonal polynomials: Legendre polynomials, Hermite polynomials, Laguerre polynomials. Contour problems for ODE: eigenvalues and eigenvectors, self-adjunct operators and the Sturm-Liouville problem, series development, orthogonality and weight function. Partial differential equations: classic types, separation of variables, heat equation, Laplace equation; other applications. Contour Value Problem involving Bessel functions.
– Numerical methods in engineering (4 credits) – AL5024
Course description and content: Systems of ordinary differential equations; single and multiple step methods; stability, convergence; Stiff case; numerical solution of contour problems and eigenvalues; difference methods for parabolic, elliptical and hyperbolic equations; explicit and implicit methods; stability and convergence; applications in two and three dimensions; spectral methods; numerical inversion of the Laplace transform and hybrid methods.
– Thermodynamics (4 credits) – AL5029
Course description and content: Laws of thermodynamics; Thermodynamic equilibrium criteria; Chemical reactions, solutions and phase diagrams; Statistical thermodynamics and models of condensed and gaseous solutions; Relationship between energy and Gibbs and the phase diagram; Thermodynamic equilibrium criteria. Chemical reactions. Statistical thermodynamics.
Area of Research: TRANSPORT PHENOMENA
– Heat and mass diffusion (4 credits, mandatory) – AL5016
Course description and content: Conduction of heat in isotropic and anisotropic materials. Thermal conductivity of gases, solids and liquids. Porous media. Contact resistance. Heat diffusion equation. Form factors. Fins. Transient driving. Global capacitance method. Semi-infinite means. Stationary and mobile sources. Numerical solutions of the diffusion equation. Phase change problems. Merging and freezing of single component and multiple component systems. Mass Diffusion. Heat and mass transfer in capillary porous media.
– Fluid Mechanics (4 credits, mandatory) – AL 5020
Course description and content: Navier-Stokes equation: derivation, properties, exact solutions, limit cases. Laminar boundary layer. Origin of turbulence, laminar-turbulent transition, Orr-Sommerfeld equation. Fundamentals of turbulent flow. Reynolds stress tensor. Speed profile. Flow in closed channels. Turbulent boundary layer.
– Special topics in transport phenomena (2 credits) – AL5030
Course description and content: This course consists of the study of various topics, which can be taught, even, by invited professors and external to the graduate program. The content covered in these topics will enable the student to become familiar with techniques, tools or theories that will be useful in the development of his/her master’s dissertation.
– Turbulence and the planetary boundary layer (2 credits) – AL5067
Course description and content: Introduction to the planetary boundary layer (PBL), daytime cycle of the PBL; Mathematical tools for the analysis of turbulent flows; Conservation equations; Turbulent kinetic energy; Spectral analysis; Similarity theory; Surface energy balance.
– Computational Fluid Mechanics (4 credits) – AL5095
Course content: The finite volume method in generalized coordinates. The transformation of coordinates. Methods of generating structured meshes. Mesh generation by elliptical equations. Transformation of conservation equations. Obtaining approximate equations in the transformed system. Pressure-speed coupling treatment. Models for flow at any speed. Troubleshooting using computer codes.
Concentration area: MATERIALS TECHNOLOGY (electives)
– Material sciences (4 credits, mandatory) – AL5071
Course description and content: Relationship between processing / microstructure / material properties. Atomic structure and its interactions, Crystalline materials and amorphous materials. Metals, Polymers, Ceramics and Composites. Crystalline imperfections, Atomic movement mechanisms (diffusion), Mechanical properties, Balance diagrams, Metastable phases, Heat treatments and microstructure control, Corrosion and surface treatments.
– Composite Materials (4 credits) – AL5079
Course description and content: Introduction; Fibers and Matrices; Fiber-matrix interface; Reinforcement efficiency; Production techniques; Properties of interest.
– Physics of semiconductor materials (4 credits) – AL5068
Course description and content: Review of the basic principles of the theory of solids. Basic foundations of Quantum Mechanics (with an emphasis on materials). Physics and characteristic of Semiconductors, electrons and holes. Band theory in Semiconductors. Contact phenomena in semiconductors (metal-semiconductor and p-n junctions). Optoelectronic Materials and Devices. Magnetic Materials and Devices. Modern applications in materials: Spintronics (Spin Transistor), Nanoelectronics, Plasmonics. Graphene and its potential applications.
– Fundamentals of experimental structure analysis (2 credits) – AL5072
Course description and content: General principles of extensometry and data acquisition. Mechanical and inductive transducers. Electric strain gauges. Load application equipment and reaction structures. Analysis of experimental results. Practical application and laboratory tests.
– Fundamentals of solid mechanics (4 credits) – AL5017
Course description and content: Elasticity mechanics: Introduction; Plane state of stress and deformation; Stress and deformation analysis; Hooke’s Law; Equation of equilibrium; Compatibility equation; Cauchy’s tension function; Bi-harmonic equation; Boundary conditions; Two-dimensional problems in rectangular coordinates; Two-dimensional problems in polar coordinates; General theorems. Mechanics of plasticity: Introduction; Simplified stress-strain curve models; Tension tensioner diverter; Flow criteria; Haigh-Westergaard space; Effective (or equivalent) stress and strain; Stress-strain law in the plastic regime; Flow condition; Runoff surface; Loading and unloading criteria. Fracture Mechanics: Introduction; Griffith stress concentration and energy balance theory; Crack propagation modes; Elastic field around the tip of a crack; Stress intensity factor; Relationship between the rate of energy relief and stress intensity factor; Cracks propagation criteria; Integral J; Plasticization at the end of a crack.
– Fundamentals of the finite element method (4 credits) – AL5018
Course description and content: Basic Concept of the Finite Element Method. Variational Formulations and Approximations; Domain discretization. Elements and Interpolation Functions, Computation of the Element Matrix. Assembly of the Matrices of the Elements. Equation System Solution. Applications in Structural Analysis, Heat Transfer and Magnetic Field Evaluation. Execution of a Finite Element program.
– Mechanisms of deformations and fractures of materials (2 credits) – AL5021
Course description and content: Theoretical resistance of metals. Theory of disagreements. Sliding systems in cubic and hexagonal networks. Interaction between disagreements and crystalline imperfections. Theory of increasing mechanical strength by introducing solutes. Graining, recovery, recrystallization and grain growth. Precipitation hardening coherent and incoherent interfaces, Formation of GP zones. Orowan equation Gap thermodynamics and diffusion in solids. Fluency. Behavior in cryogenic conditions of application. Fragile fracture. Fracture under monotonic and dynamic loads.
– Surface chemistry (2 credits) – AL 5026
Course description and content: Solid-liquid Interface Chemistry, Surface Stability and Interactions, Surface Modification Processes, Adsorption and Reactions on Solid Surfaces, Physical Surface Characterization Processes, Sol-Gel Chemistry, Spectrometric Methods, Applied to Structural Determination of Organic Substances in Surfaces, Technological Application of New Chemically Modified Materials.
– Materials characterization techniques I (2 credits) – AL5069
Course description and content: Basic Principles of Crystallography. X-ray diffraction. Difractographic methods. Analysis of the Structure of Crystals. Interaction of Radiation with Matter (Electromagnetic Radiation, Electrons, Protons and Neutrons). Spectroscopy in the infrared region.
– Materials characterization techniques II (2 credits) – AL5070
Course description and content: Optical microscopy. Scanning electron microscopy. Transmission electronic microscopy. Atomic force microscopy. Spectrophotometry. Vibrational spectroscopy. Optical Emission Spectroscopy.
– Special topics in materials technology (2 credits) – AL5031
Course description and content (variable): This discipline comprehends the study of various topics, which can be taught, even, by invited professors and external to the postgraduate program. The content covered in these topics will enable the student to become familiar with techniques, tools or theories that will be helpful with his / her master’s dissertation.