Final S emester Project: Implementation of the Constant Strain Triangle $($CST$)$ Element in MATLAB

Objective:

Develop a MATLAB program to implement the Constant Strain Triangle $($CST$)$ element of the finite element method.

Tasks:

Theoretical Background: Review the theory and derivation behind the CST element.

MATLAB Implementation: Write a MATLAB code to compute the local stiffness matrix for CST element. Assemble the stiffness matrix in global stiffness matrix.

Analysis: Solve the displacement of the nodes, stresses of the elements for a given load on the plate.

Validation: Apply the MATLAB code to a simple problem with known solutions, such as a rectangular plate under uniform tension. Use at least two scenarios of different meshing and compare between them.

What to submit

A PDF file of a report including derivation of the CST stiffness matrix, description of the implemented MATLAB program, and analysis results $($displacement and stress$).$

MATLAB script. Submission of PDF and MATLAB code on ${31}^{st}-12-2024$

A presentation summarizing the methodology, code structure, and findings. Presentation on $8^{th}-01-2024.$