51 lines
2.1 KiB
Markdown
51 lines
2.1 KiB
Markdown
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# finite element method
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full notes : [[Finite element method]]
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[weak formulation](https://www.youtube.com/watch?v=xZpESocdvn4) *(30min)*
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The weak formulation is the formulation of the differential equation so that it becomes solvable using the finite elements method.
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This video shows how the weak formulation is derived from the initial problem, and its use.
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[finite element method](https://www.youtube.com/watch?v=1wSE6iQiScg) *(40min)*
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The finite element method is a mathematical method to be able to computationally solve a differential equation.
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The core of the method is to discretise the problem, because computer cannot solve the problem analytically.
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# continuum mechanics
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full notes : [[Continuum Mechanics]]
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[continuum mechanics](https://www.youtube.com/watch?v=rhDkluTuWlQ) *(10min)*
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This video goes over what is continuum mechanics, and the uses of fields to describe matter. It presents as well the boundary value problem.
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[strain tensor formula](https://www.youtube.com/watch?v=X-H3Fwdm-kI) *(10min)*
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The strain tensor is the symmetric part of the gradient of the displacement field vector.
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This video manages to make this confusing statement a lot clearer.
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[visualizing the strain tensor](https://www.youtube.com/watch?v=UQ4GnWACesY) *(10min)*
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This video makes the physical effect of each element of the tensor more apparent.
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[stress and traction](https://www.youtube.com/watch?v=NtTVEzZS3Bg) *(10min)*
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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.
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# laminate analysis
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[composite materials](https://www.youtube.com/watch?v=j3rvtgqrGsQ) *(1h30)*
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This video is a course on the analysis of composite laminate. Mainly the maths to compute the stress/strain relationship with discrete layers.
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(see [[Layerwise Theories]])
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[modeling layered composite](https://www.comsol.fr/video/modeling-layered-composite-structures-with-comsol-multiphysics-nov-29-2018) *(1h)*
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This video exposes multiple models for composite laminates, for example equivalent single layer (eql) and layerwise (lw)
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(see [[Composite laminate models]])
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