Finite Element Method of Analysis 3 min read
Jacobian in FEA
In the Finite Element Method, an element’s Jacobian Matrix relates the quantities wrote in the natural coordinate space and the…
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Finite Element Method of Analysis 3 min read
What is the difference between serendipity family elements and isoparametric elements in finite element analysis?
In the Finite Element Method we use several types of elements. These elements can be classified based upon the dimensionality…
Finite Element Method of Analysis 7 min read
Springs and Elements
We already discussed, that “spring equations” are “coupled”. You can’t simply say that a single “spring equation” describes the force/displacement…
Finite Element Method of Analysis 5 min read
What are Nodes and Elements in Finite Element Analysis?
Nodes and Elements are the very backbones of Finite Element Analysis. You will use them in every analysis you will…
Finite Element Method of Analysis 2 min read
Isoparametric Elements
As mentioned above, to form a mesh over a general region the elements must be allowed to take more general…
Finite Element Method of Analysis 1 min read
Lagrange Interpolation Method:
In FEM, Lagrange interpolation method is used for the polynomial interpolation. The formula was named after Joseph Louis Lagrange who…
Finite Element Method of Analysis 1 min read
Natural Coordinates
Natural coordinate system is basically a local coordinate system which allows the specification of a point within the element by…
Finite Element Method of Analysis 3 min read
Shape Function
The shape function is the function which interpolates the solution between the discrete values obtained at the mesh nodes. Therefore,…
Finite Element Method of Analysis 2 min read
Completeness
The elements must have enough approximation power to capture the analytical solution in the limit of a mesh refinement process.…
Finite Element Method of Analysis 2 min read
How to Measure Convergence
So now that the importance of convergence has been discussed, how can it be measured? What is a quantitative measure…
