Build a FEM Solver in Python Under 15 Mins With Plot!!

Описание: In this video I show you how to write the tinyest Finite Element Method (FEM) Python Solver from scratch, in 15 mins.
I'm using Jupyter Notebook for clarity.
The idea here is to obtain simple displacements of a single element loading with a force in one of its nodes.

Take into account Plain Strain is supposed to be ez=0 so, it is a scenario with thickness (Z dim) larger than in plane (x and y) dimensions. Plane stress is the opposite. So at the end of this video, thickness should be also coherent.

This video is only a sight of a course I'm preparing.
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0:00 Intro
0:40 Jupyter Notebook Sections - Plot and Solver
1:00 Shape Functions
3:30 Material Matrix
4:00 Stiffness Matrix introduction
5:13 Jacobian Matrix and determinant
6:55 Global derivatives and B matrix
8:45 Stiffness matrix calc from B matrix
10:00 Defining U & F vectors
11:00 Boundary conditions
13:00 Solving System
13:55 Beautiful Plot!