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Fertig Research Group: Multiscale Failure of Materials @UCNyjIHtENEa5OxXln7NZSmA@youtube.com

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15:01
Material Fracture (Ductile vs. Brittle Fracture)
27:30
Material Fracture (Theoretical Fracture Strength)
14:53
Linear Elastic Constitutive Behavior: Hooke's Law
11:08
Review of Strain: (Definition of Small Strain Tensor)
16:39
Review of Strain: Types of Deformation
00:06
Simulated Rockwell B Hardness Test for 1018 Steel
20:12
Variational Principles of Elasticity (Principle of Virtual Work)
25:30
Variational Methods (Parametric Representations)
28:10
Variational Methods (Finite Constraints - Geodesics Example)
26:48
Variational Methods (Finite and Differential Constraints)
12:36
Variational Methods (Isoperimetric Example)
23:29
Variational Methods (Ritz Method and Finite Element Analysis)
19:50
Variational Methods (Rayleigh-Ritz Method)
12:59
Variational Methods (Potential Energy of an Elastic Body)
11:02
Variational Methods (Principle of Stationary Total Potential Energy)
20:21
Variational Methods (Functionals with Multiple Independent Variables)
10:34
Variational Methods (Functionals with Multiple Dependent Variables)
23:00
Variational Methods (Functionals with Higher Order Derivatives)
08:41
Variational Methods (Natural Boundary Conditions)
19:43
Variational Methods (Delta Operator)
12:29
Variational Methods (First Integrals of the Euler-Lagrange Equation)
26:31
Variational Methods (Example - Surface of Revolution)
11:03
Variational Methods (Example - Shortest Path)
13:13
Variational Methods (Fundamental Lemma of Variational Calculus)
20:25
Variational Methods (Functionals and Extremization)
29:00
4-4: Dynamic FEA (Mode Superposition - Modal Analysis)
20:50
4-3: Dynamic FEA (Damping)
24:16
4-2: Dynamic FEA (Newmark-beta Implicit Integration)
19:59
4-1: Dynamic Finite Element Analysis (Natural Frequencies and Mode Shapes)
18:03
3-3: Nonlinear Finite Elements in 3-D (Updated Lagrangian Formulation)
21:53
3-2: Nonlinear Finite Elements in 3-D (Total Lagrangian Formulation)
18:46
3-1h: Nonlinear Finite Elements in 3-D (Continuum Stresses - Example)
13:42
3-1g: Nonlinear Finite Elements in 3-D (Continuum Stresses - Stress Measures)
21:40
3-1e: Nonlinear Finite Elements in 3-D (Continuum Kinematics - Rate of Deformation/Velocity Strain)
23:43
2-8c: Nonlinear Finite Elements in 1-D (Updated Lagrangian - Mesh Distortion)
23:24
2-8b: Nonlinear Finite Elements in 1-D (Updated Lagrangian - Weak Form and FE Discretization)
16:17
2-8a: Nonlinear Finite Elements in 1-D (Updated Lagrangian - Governing Equations)
10:04
5.1: Phase Diagrams (Phase Diagram Basics)
17:24
2-7: Nonlinear Finite Elements in 1-D (Solution Methods - Explicit Central Difference)
19:52
2-6: Nonlinear Finite Elements in 1-D (Element and Global Vectors and Matrices)
08:01
4.3: Diffusion (Influence of Temperature on Diffusion)
14:10
4-2e: Diffusion (Mathematics of Diffusion - Application of Fick's 2nd Law)
15:38
4 2d: Diffusion (Mathematics of Diffusion - Solution of Fick's 2nd Law)
27:52
2-5f: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - FE Discretization)
17:20
2-5e: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Weak Form)
10:26
4.2c: Diffusion (Mathematics of Diffusion - Fick's 2nd Law)
18:09
4.2: Diffusion (Mathematics of Diffusion - Fick's 1st Law)
12:49
4.1: Diffusion (Diffusion Mechanisms)
17:06
3.3: Defects in Crystals: Planar Defects
11:49
2-5d: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Boundary & Initial Cond.)
18:36
2-5c: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Constitutive Law)
15:24
2-5b: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Conservation Equations)
14:33
2-5a: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Problem Setup)
10:26
2-4: Nonlinear Finite Elements in 1-D (Total Lagrangian vs. Updated Lagrangian)
15:28
3.2c: Defects in Crystals (Dislocations - Part III)
14:21
3.2b: Crystal Defects (Dislocations - Part II)
21:28
3.2a: Defects in Crystals (Dislocations - Part I)
18:09
2-3: Nonlinear Finite Elements in 1-D (Lagrangian vs. Eulerian Meshes)
11:49
3.1b: Crystal Defects (Point Defects - Part II)
19:37
2-2: Nonlinear Finite Elements in 1-D (Newton's Method for Systems of Equations)