Which is the best way to learn MATLAB for finite element analysis?



I shall elaborate on how I did , hopefully it would help you in getting an understanding of three things.
a) How a commercial finite element works (very roughly)
b) Use of Matlab for FEM
c) Better understanding of FEM itself
I solved the problem of a cantilever with a tip load with triangular as well as quadrilateral elements.

  1. Beam meshed with triangular elements (CST)



For the above beam problem , apart from Meshing, I also established the nodal connectivity of each element, calculated element stiffness and assembled it, defined loads and bcs, and solved for displacements.
After solving , the deformed beam looked like :




2. Beam meshed with Quad elements (Q4)




I did all of the above as stated in CST , then for stiffness matrix calculation, I used the isoparmetric formulation / jacobian and stuff .


Also, just to understand the isoparametric mapping, I gave the 8 nodes of the quadrilateral and visualized the curved element. I then superposed the natural coordinates (epsilon.eta=0 curves ) onto the cartesian coordinates. The below figure would give an idea of what I did


3. Isoparametric mapping ( 8 node quadrilateral element)



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