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Anup Goel,, Ashish R. Pawar,, Jayashri V. Chopade, Shaikh Ubaid,, Siddu S.,,
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Unit 1Elemental 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 31D 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 42D 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 repo
