CE-595: Finite Elements in Elasticity 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: