Continuum Mechanics 2: Invariants
27 November, 2023
This article is part 2 in my series on continuum mechanics. The focus is on invariants, vectors, and tensors.
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Category: FEA Theory
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The Stress Concentration for a Plate with a Hole is NOT 3
4 September, 2023
It commonly believed that the stress concentration factor for a plate with a hole in uniaxial tension is 3. This not true!
Basic FEA Theory – Part 5 – Solve For Displacements
27 August, 2022
Last article is in my series on basic FEA theory. In this article I put everything together to solve for the displacements.
Basic FEA Theory – Part 4 – Element Stiffness Matrix
19 August, 2022
This article is part 4 in my series on basic FEA theory. The focus is on how to calculate the element stiffness matrix.
Basic FEA Theory – Part 3 – Strain Calculation
16 August, 2022
The article shows how to calculate the strain components from the nodal displacements in a linear finite element calculation.
Basic FEA Theory – Part 2 – Isoparametric Shape Functions
9 August, 2022
The focus of this article is on how isoparametric shape functions can be used to simplify the calculation of the principle of virtual work.
Basic FEA Theory – Part 1 – Principle of Virtual Work
2 August, 2022
Derivation of the equation of virtual work in discretized form. The presented results are the foundation to the Finite Element method.
Full Finite Element Solver in 200 Lines of Python
26 July, 2022
Tutorial on how to write a full FE solver in 200 lines of Python code. This is part 2 in our series. The focus is on using an external file.
Full Finite Element Solver in 100 Lines of Python
19 July, 2022
Tutorial on how to write a full FE solver in 100 lines of Python. This is part one of this tutorial series.