Finite Element Analysis (Updating)

FEA Theory

Lecture-1: Mathematical Notation

Lecture-: Variational Analysis

Lecture-: Galerkin Method and Ritz Method

Lecture-: Shape Function

Lecture-: Interpolation and Integration Point

Lecture-: Stiffness Matrix and Residue

Lecture-: Shear Locking

Lecture-: Volumetric Locking

Lecture-:

Example-: Volumetic Locking: B-Bar Method

Example-: : B-Bar Method

Sup-1: Finite Difference Method

Sup-2: Guassian Integration

Sup-3: Interpolation

Finite Element Code

FEA-1: FEA for Wave Propagation in Porous Media (Matlab)

FEA-2: Uinter for Dugdale Model (Abaqus and Fortran)

FEA-3: FEA for Motz problem and Poisson Equation in L-shape (Matlab)

FEA-4: FEA for 1D cylindrical Helmothoz Equation (Python)

FEA-5: UEL for 2D Continuum Beam Element (Fortran)

FEA-6: Vumat for McCormick ( Abaqus and Fortran)

FEA-7: Mathematica for Central Hole (Mathematica)

Discontinous Galekin Method

Abaqus and Machine Learning

Example-1: CNN and Michelson Interferometer

Example-2: PINNs and Elastic Modulus Identification

Example-3: PINNs and Acoustic Source Identification

Example-4: Attention and Structural Optimization

Example-5: SNN and Partial Differential Equations

Lecture: Mechanics of Solid

The current lecture notes have been summarized by Siyuan Song. Please feel free to use them for self-study. For teaching purposes, publication, or any other commercial applications, please contact songsiyuanxjtu@gmail.com. Thank you.