Unit 1 Elemental Properties Introduction to Computer Aided Engineering (CAE), Use of CAE in Product development, Discretization methods - Finite Element Method (FEM), Finite Difference Method (FDM) and Finite Volume Method (FVM), CAE Tools - Pre-processor, Solver and Post-Processor. Element Shapes - 1D, 2D and 3D elements, Nodal Unknowns and field variables, Coordinate Systems, Shape Functions- linear, quadratic and cubic, Convergence Requirements of Shape Functions, Derivation of Polynomial Shape Functions using coordinate systems for Bar, Beam, Triangular, and rectangular elements. (Chapter - 1) Unit 2 Meshing Techniques Discretization of a Structure, 1D, 2D and 3D element Meshing, Element selection criteria, Refining Mesh, Effect of mesh density in critical region, Use of Symmetry. Element Quality Criterion : Jacobian, Aspect ratio, Warpage, Minimum and Maximum angles, Average element size, Minimum Length, skewness, Tetra Collapse etc., Higher Order Element vs Mesh Refinement, Geometry Associate Mesh, Mesh quality, Bolted and welded joints representation, Mesh independent test. (Chapter - 2) Unit 3 1D Finite Element Analysis Consistent Unit System, Introduction to approaches used in Finite Element Analysis ( FEA) such as direct approach and energy approach. Bar and Truss Element - Element stiffness matrix, Assembling stiffness Equation, Load vector, stress and reaction forces calculations. Temperature effect on Bar Element - Calculation due to uniform temperature change, Stress and reaction forces calculations. (Chapter - 3) Unit 4 2D Finite Element Analysis Plane Stress-Strain, axi-symmetric problems in 2D elasticity. Constant Strain Triangle (CST) - Element Stiffness matrix, Assembling stiffness equation, Load vector, Stress and reaction forces calculations. Post Processing Techniques - Check and validate accuracy of results, Average and Un-average stresses, and special tricks for Post Processing. Interpretation of results and design modifications, CAE reports. (Chapter - 4) Unit 5 Non-Linear and Dynamic Analysis Non-Linear Analysis : Introduction to Nonlinear Problems, Comparison of Linear and Nonlinear analysis, Types of Nonlinearities, Stress-strain measures for Nonlinear analysis, Analysis of Geometric, Material Nonlinearity, Solution Techniques for Nonlinear analysis, Newton Raphson Method, Essential steps in Nonlinear analysis. Dynamic Analysis : Introduction to Dynamic Analysis, Comparison of Static and Dynamic analysis, Time domain and frequency domain, Types of loading, Simple Harmonic motion, Free vibration, Boundary conditions of free vibration, Solution. (Chapter - 5) Unit 6 Applications of Computer Aided Engineering Computational Fluid Dynamics (CFD) : Introduction, Three dimensions of Fluid Dynamics, Equilibrium Equation for a fluid, Conservation form of Fluid flow equation, Integral form of the Conservation Laws. Injection moulding of Plastics : Simplification of Mould Geometry for FEA, Material Model for Mould FEA, Boundary Conditions for Mould FEA, Loading of Mould in FEA, Results Analysis. Simulation for Manufacturing Processes like Casting and Sheet Metal Applications : Introduction and workflow of Casting Simulation Software and Sheet Metal Applications. Durability Analysis : Durability, Reliability and Fatigue, FEA bases fatigue analysis viz : Stress-Life approach (S-N method) and Strain-Life approach (E-N method). Crash Analysis : Introduction, Explicit time integration schemes, implicit integration schemes. Noise Vibration and Harshness (NVH) Analysis : NVH Concepts, Terminology, FEA for structural Dynamics, FEA for Acoustics. (Chapter - 6)
