MENG502 Finite Element MethodIntroduction to finite element analysis, variational formulation and approximation. One-dimensional second order and fourth order equations. Two-dimensional second order equations, mesh generation, impositions of boundary conditions. Second order multivariable equations. Introduction to time-dependent problems. Introduction to plane elastic-plastic problems. Application of idealised and real elastic-plastic material properties.
In this course, topics which are usually the ingredients of a wide variety of research disciplines, will be introduced conceptually and examined in relation to their essential elements. A number of problems will be examined, and students will be asked to produce solutions to these problems as take-home exercises. The problems discussed are amongst those either as yet unpublished, or to which solutions have recently been found. The aim is to develop students’ ability to engage difficult problem-solving situations.
The course is an applied approach to solve different types of equations that aries in engineering analysis. The course contains: solution of systems of linear algebraic equations, eigen-value problems, nonlinear equations, polynomial approximation, numerical differentiation and integration, ordinary differential equations and partial differential equations.
Mechanism of fracture and crack growth. The elastic crack-tip stress field, the crack-tip plastic zone. The energy principle, energy release rate, criterion for crack growth, crack resistance, compliance, J-Integral and tearing modulus. Dynamic fracture mechanics and crack arrest. Plane strain fracture toughness, plane stress and transitional behavior. Elastic-plastic fracture, fatigue crack propagation, fracture resistance of materials. Application of fracture mechanics. Prediction of fatigue crack growth.
Analysis of stress and strain. Constitutive equations. Plane problems of elasticity. Torsion and flexure of beams. Variational methods, theorems of minimum potential energy and complementary energy. Approximate solution by means of variational methods. Introduction to plate theory.
Introduction to Streomechanical impact. Energy loss at impact. Central impact. Separate treatment method. Rotational impact, Eccentric impact of two bodies in plane motion. Quasi-Static approach to impact. Tendency to break of rigid structures.
The first and second laws of thermodynamics. The two laws combined: the destruction of energy. Energy generalized. Single-phase, multiphase and chemical reactive systems. Refrigeration and power generation. Thermodynamic design.
General introduction to nuclear reactor systems. Description of the Pressurized Water Reactor -PW, and Boiling Water Reactor -BWR. Boiling heat transfer and two-phase flow in the BWR. Heat transfer and fluid flow for nonmetallic coolants. Reactor core thermal design.
Conservation principles, mass, momentum and energy. Fluid stresses and flux laws, boundary layer theory and the integral equations of the boundary layer. Momentum and heat transfer in laminae in external and internal flow. Momentum and heat transfer in turbulent external and internal flow, natural convection.
Heat, mass and momentum transfer with emphasis on the analogies between them. Introduction to transport phenomena. Heat, mass and momentum diffusivities. The balance or conservation concept. One and more dimensional balance equation. Steady-state transport. Transport with a net convection flux. Fluid flows in duct. Heat and mass transfer in duct flow. Unsteady-state transport. Transport coefficient.
Review of basic principles of engine operation. Thermo-chemistry and properties of engine working fluids. Thermodynamic analysis of engine processes. Mathematical modeling and simulation of engine processes and cycles. Study of various engine schemes.
Energy consumption, conservation and resources. Energy audits, economic analysis. Management and organization of conservation programs. Analysis of thermal-fluid systems. Energy conservation in combustion systems, steam and condensate systems. Heat exchangers, heat recovery and insulation. Energy conservation in industrial system, industrial cogeneration. Power circuits, electrical machinery, electrical energy conservation. Industrial energy use profiles.
Fundamentals equations, flow kinematics and special forms of governing equations. Two-dimensional potential flow, three-dimensional potential flow. Viscous flow: incompressible flow and compressible flow of fluids.
Preliminary concepts and fundamentals equations: solutions of Newtonian flows. Laminar boundary layers: stability and transition, turbulent layers.
Differential equations, boundary and initial conditions. Conservation equations, momentum, energy, species and general form of the conservation equation. Review of approximate methods, finite weighted residual, spectral method, finite element, control volume, finite analytical method. Steady and unsteady diffusion equation, explicit, Crank-Nicholson, implicit schemes, solution of algebraic equations. Convection-diffusion equation, upwind, central and quadratic schemes, false diffusion. Vorticity and permissive variable approach, staggered grid concept, applications.
Review of gas dynamics, linearized flow, conical flow, three-dimensional flow, transonic flow, hypersonic flow, numerical techniques.
Introduction, vector and tensor algebra, Governing equations, Equilibrium equations, Diffusion equation, Euler equation, Advection equations, advection-diffusion equation, boundary and initial conditions, Permeative and stream function-vorticity approach, Approximate methods. Finite difference, weighted residual-finite elements, finite volume, Accuracy and error analysis, Higher order schemes, Staggered grid concept, Pressure correction schemes, Flow in porous media, turbulent flow modeling.
Stability theory and transition, Reynolds equations, physical structure of turbulent boundary layer, turbulent pipe and channel flow, analysis of flat plate integral analysis, jets, wakes, free-shear layers, turbulence modeling, isotropic, energy spectra, correlations, measurement methods, hot wire and LDV systems.
Brief History of Manufacturing Paradigms, Classical Architectures for Development of Control Systems, introduction to agent technology, architectures, communication and coordination, Programming languages and tools, multi agent based distributed manufacturing control system for flexible manufacturing system. Introduction to internet of thing (IOT) for a manufacturing control system, Network Communication in the embedded systems (module & protocols), Implementation of distributed manufacturing control system based on IOT. Simulation, Animation, Virtual Reality and Virtual Manufacturing, Application of Virtual Reality and immersive technologies in development of Multi-agent control architecture for manufacturing systems.
Use of matrices in vector algebra, matrix representations. Euler`s theorem. Kinematics of particles, rigid bodies and interconnected rigid bodies. Terminal equations of an ideal rigid body in motion as a multi-terminal component. Restricted motions of rigid bodies. Power and energy of rigid bodies. The most general mathematical model of a rigid body. Kinematic chains with active joints. Mathematical model of system of interconnected rigid. Algorithmic calculation of equations of motions.
Introduction to different types of nucleation processes, vapor to solid, vapor to liquid, solid and ionic liquid to solid. Derived thermodynamics as well as the kinetic equations for these processes. Different types of growth processes, interface-controlled, diffusion-controlled or charge-transfer-controlled. Dislocations and their applications in strengthening mechanism, metallurgical, electroplating, cement hardening and soil stabilization processes.
Fundamentals of metalworking. Mechanics of metalworking, Temperature in metalworking. Forging, rolling, extrusion, drawing of rods, wires, and tubes.
Design-Centered Virtual Manufacturing -VM, part modeling, rapid prototyping, virtual assembly, and prototyping of mechanical systems. Production-Centered VM-shop floor planning, virtual manufacturing cell, virtual manufacturing process. Virtual Machining-constructing a virtual operation, process simulation and prediction, virtual numerical control. VR Instruments-hardware, software, VR programming.
Advanced Materials and material Technologies, Materials Developed through Space Related Technologies, Advanced processes for Plastic Forming Casting, Precision Machining-Sources of Error -Thermal, Static, Dynamic, Process Related, Precision Machining Processes, Vibration and Thermal Assisted Machining, High-Speed Processing, Application of FEM in Machining, Manufacturing of Semiconductor Devices, Electronic Assembly and Packaging, Rapid Prototyping Technologies, Manual and Computer Assisted Part Programming, Flexible Manufacturing Systems [FMS] and Robotics.
Mechanisms of creep and of cavity growth, cavity growth controlled by grain boundary -GB, diffusion alone, cavity growth controlled by surface diffusion, cavity growth controlled by coupled mechanisms. Transgranual creep fracture. Non-uniform distributions of cavity growth. Comparison with the continuum theory of creep damage mechanics, Continuum theory of Kachanov and Robotnov, comparison of the continuum and mechanistic models: power-law creep.
Stress cycles, S-N curve, cyclic stress-strain curve, Low-cycle fatique -LCF, and high-cycle fatigue -HCF, fatigue behavior of uncracked components for HCF and LCF, fatigue behaviour of cracked components -fatigue crack propagation, assessing crack propagation life, metallography of fatigue.
Mechanical tests. Elastic properties, micro-plasticity of crystals and plastic deformation. Grain boundaries, strain-hardening, creep. Strengthening mechanisms, solute-hardening, precipitation-hardening. Fracture, brittle fracture -Griffith theory, ductile fracture, ductile-brittle transition, fatigue fracture.
The course aims to use symbolic software [Mathematica] for engineering analysis: ordinary and partial differential equations, Fourier analysis, Laplace transformation: 2 and 3-D data visualization, spectral analysis, regression, image processing, animation,… Etc. case studies will be performed on the interest of the attending students.
Mechanical Engineering Seminar given by students.
The specific title and the content of this course are determined by the Department at the beginning of each term. |