MSR/articles/Videos descriptions.md

#description

# Finite element method
full notes : [[Finite element method]]

### Weak Formulation
[video](https://www.youtube.com/watch?v=xZpESocdvn4) *(30min)*

The weak formulation is the formulation of the differential equation so that it becomes solvable using the finite elements method.

This video shows how the weak formulation is derived from the initial problem, and its use.

### Mathematical Finite element method base
[video](https://www.youtube.com/watch?v=1wSE6iQiScg) *(40min)*

The finite element method is a mathematical method to be able to computationally solve a differential equation.

The core of the method is to discretise the problem, because computer cannot solve the problem analytically.

# Continuum mechanics
full notes : [[Continuum Mechanics]]

### Continuum mechanics
[video](https://www.youtube.com/watch?v=rhDkluTuWlQ) *(10min)*

This video goes over what is continuum mechanics, and the uses of fields to describe matter. It presents as well the boundary value problem.

### Strain tensor formula
[video](https://www.youtube.com/watch?v=X-H3Fwdm-kI) *(10min)*

The strain tensor is the symmetric part of the gradient of the displacement field vector.
This video manages to make this confusing statement a lot clearer.

### Visualizing the strain tensor
[video](https://www.youtube.com/watch?v=UQ4GnWACesY) *(10min)*

This video makes the physical effect of each element of the tensor more apparent.

### Stress and traction
[video](https://www.youtube.com/watch?v=NtTVEzZS3Bg) *(10min)*

In continuum mechanics, the force over an area is not the stress, it is traction. This video helps getting a clearer understanding of the stress tensor.

# Laminate analysis

### Composite materials course
[video](https://www.youtube.com/watch?v=j3rvtgqrGsQ) *(1h30)*

This video is a course on the analysis of composite laminate. Mainly the maths to compute the stress/strain relationship with discrete layers.
(see [[Layerwise Theories]])

## Modeling layered composite
[video](https://www.comsol.fr/video/modeling-layered-composite-structures-with-comsol-multiphysics-nov-29-2018) *(1h)*

This video exposes multiple models for composite laminates, for example equivalent single layer (eql) and layerwise (lw)
(see [[Composite laminate models]])


# Failure theories
full notes : [[Failure Theories]]

### Failure theories
[video](https://www.youtube.com/watch?v=xkbQnBAOFEg) (15min)

This video presents a few failure theories, and their physical meaning :

Ductile materials :
- Tresca
- von Mises

Brittle materials :
- Coulomb-Mohr
better sources 2024-09-25 14:50:53 +02:00			`#description`
initial commit 2024-09-20 17:41:55 +02:00
better sources 2024-09-25 14:50:53 +02:00			`# Finite element method`
initial commit 2024-09-20 17:41:55 +02:00			`full notes : [[Finite element method]]`

better sources 2024-09-25 14:50:53 +02:00			`### Weak Formulation`
			`[video](https://www.youtube.com/watch?v=xZpESocdvn4) (30min)`
initial commit 2024-09-20 17:41:55 +02:00
			`The weak formulation is the formulation of the differential equation so that it becomes solvable using the finite elements method.`

			`This video shows how the weak formulation is derived from the initial problem, and its use.`

better sources 2024-09-25 14:50:53 +02:00			`### Mathematical Finite element method base`
			`[video](https://www.youtube.com/watch?v=1wSE6iQiScg) (40min)`
initial commit 2024-09-20 17:41:55 +02:00
			`The finite element method is a mathematical method to be able to computationally solve a differential equation.`

			`The core of the method is to discretise the problem, because computer cannot solve the problem analytically.`

better sources 2024-09-25 14:50:53 +02:00			`# Continuum mechanics`
initial commit 2024-09-20 17:41:55 +02:00			`full notes : [[Continuum Mechanics]]`

better sources 2024-09-25 14:50:53 +02:00			`### Continuum mechanics`
			`[video](https://www.youtube.com/watch?v=rhDkluTuWlQ) (10min)`
initial commit 2024-09-20 17:41:55 +02:00
			`This video goes over what is continuum mechanics, and the uses of fields to describe matter. It presents as well the boundary value problem.`

better sources 2024-09-25 14:50:53 +02:00			`### Strain tensor formula`
			`[video](https://www.youtube.com/watch?v=X-H3Fwdm-kI) (10min)`
initial commit 2024-09-20 17:41:55 +02:00
			`The strain tensor is the symmetric part of the gradient of the displacement field vector.`
			`This video manages to make this confusing statement a lot clearer.`

better sources 2024-09-25 14:50:53 +02:00			`### Visualizing the strain tensor`
			`[video](https://www.youtube.com/watch?v=UQ4GnWACesY) (10min)`
initial commit 2024-09-20 17:41:55 +02:00
			`This video makes the physical effect of each element of the tensor more apparent.`

better sources 2024-09-25 14:50:53 +02:00			`### Stress and traction`
			`[video](https://www.youtube.com/watch?v=NtTVEzZS3Bg) (10min)`
initial commit 2024-09-20 17:41:55 +02:00
			`In continuum mechanics, the force over an area is not the stress, it is traction. This video helps getting a clearer understanding of the stress tensor.`

better sources 2024-09-25 14:50:53 +02:00			`# Laminate analysis`
initial commit 2024-09-20 17:41:55 +02:00
better sources 2024-09-25 14:50:53 +02:00			`### Composite materials course`
			`[video](https://www.youtube.com/watch?v=j3rvtgqrGsQ) (1h30)`
initial commit 2024-09-20 17:41:55 +02:00
			`This video is a course on the analysis of composite laminate. Mainly the maths to compute the stress/strain relationship with discrete layers.`
			`(see [[Layerwise Theories]])`

better sources 2024-09-25 14:50:53 +02:00			`## Modeling layered composite`
			`[video](https://www.comsol.fr/video/modeling-layered-composite-structures-with-comsol-multiphysics-nov-29-2018) (1h)`
initial commit 2024-09-20 17:41:55 +02:00
			`This video exposes multiple models for composite laminates, for example equivalent single layer (eql) and layerwise (lw)`
			`(see [[Composite laminate models]])`
better sources 2024-09-25 14:50:53 +02:00

			`# Failure theories`
			`full notes : [[Failure Theories]]`

			`### Failure theories`
			`[video](https://www.youtube.com/watch?v=xkbQnBAOFEg) (15min)`

			`This video presents a few failure theories, and their physical meaning :`

			`Ductile materials :`
			`- Tresca`
			`- von Mises`

			`Brittle materials :`
			`- Coulomb-Mohr`