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Finite element method
full notes : Finite element method
Weak Formulation
video (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 (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 (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 (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 (10min)
This video makes the physical effect of each element of the tensor more apparent.
Stress and traction
video (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 (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 (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 (15min)
This video presents a few failure theories, and their physical meaning :
Ductile materials :
- Tresca
- von Mises
Brittle materials :
- Coulomb-Mohr