Link to YouTube Lecture Videos
Listing of Lecture Topics:
- 01 Lecture 01 - Syllabus; Introduction
- 02 Lecture 02 - Analysis; Equilibrium
- 03 Lecture 03 - Mechanics Review
- 04 Lecture 04 - Deformation, Kinematics, Compatibility
- 05 Lecture 05 - Material Constitutive Behavior, BVP
- 06 Lecture 06 - 1D Problem, Weak Form, Ritz Method
- 07 Lecture 07 - 1D Ritz Method; MATLAB example
- 08 Lecture 08 - 1-D FE basis; Other Weighted Residuals
- 09 Lecture 09 - Other Weighted Residuals; 1-D FE implementation
- 10 Lecture 10 - Properties of K; Variational (Energy) Methods
- 11 Lecture 11 - Variational Methods; Vainberg's Theorem
- 12 Lecture 12 - Quadratic FE in 1D; Bubbles; Truss Application
- 13 Lecture 13 - 2D & 3D Problems
- 14 Lecture 14 - 2D Heat Conduction
- 15 Lecture 15 - 2D FE Discretization
- 16 Lecture 16 - Assembly; 2D Elasticity
- 17 Lecture 17 - 2D 3 node triangle - Element Integrals
- 18 Lecture 18 - Overview; Q4 Rectangular Element
- 19 Lecture 19 - Example with CST, Q4; Inclined support BC
- 20 Lecture 20 - Q4 Element; Iso-Parametric Mapping
- 21 Lecture 21 - Numerical Integration; Gauss Quadrature
- 22 Lecture 22 - Q4 Numerical Integration; Stress Averaging; Reduced Integration
- 23 Lecture 23 - Q4 Implementation steps; Higher order Triangles
- 24 Lecture 24 - Higher Order Triangles; Quadrilaterals - LAGRANGE family
- 25 Lecture 25 - Higher order Quadrilaterals: SERENDIPITY family; HIERARCHICAL elements; INCOMPATIBLE bubbles, Variational Crimes
- 26 Lecture 26 - Convergence; Error; Patch Test
- 27 Lecture 27 - Stability; Extension to 3D
- 28 Lecture 28 - Variational Methods in 2D-3D; Constraints; ABAQUS Intro
- 29 Lecture 29 - ABAQUS Continued; Term Project
- 30 Lecture 30 - Chapter 4: Beams & Frames Introduction
- 31 Lecture 31 - Beam theories: TIMOSHENKO vs BERNOULLI-EULER, Weak Forms
- 32 Lecture 32 - Ritz method for Beams
- 33 Lecture 33 - Midterm Review
- 34 Lecture 34 - Dynamics & Nonlinear Problems
- 35 Lecture 35 - Non-linear Problems (Cont)
- 36 Lecture 36 - Finite Element Approximations for Beams
- 37 Lecture 37 - 2D & 3D Frames
- 38 Lecture 38 - Overview of Plates and Shells
Homework Assignments and Project Description:
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