FEM Package

A general FEM toolbox to analyze two- and three-dimensional structures that can be used for both educational and research purposes.

FEM_Toolbox

A general FEM toolbox to analyze planar (2D) and 3D structures, including trusses, beams, frames, plane stress/strain, and 3D solid structures. The package including a graphical user interface (GUI) and visulization tools to fascilitate modeling and analyzing process. This toolbox can also be employed for educational purposes.

Developed by Shahrokh Shahi
Georgia Institute of Technology College of Computing and College of Engineering 2018-2020
www.sshahi.com

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Details:

This repository is part of a set of FEM-related codes, where you can find more details in this blog post.

In general, finite element method (FEM) is used as an effective numerical method to solve differential equations and widely employed in engineering and mathematical modeling, where a mechanical system is divided into discrete subdomains known as finite elements. The technical process of creating finite element meshes and using Gaussian numerical integration to calculate the stiffness of each element, assembly process, and solving the obtained system of equations have always been challenging to implement and understand by both undergrad and graduate students in engineering fields such as Civil Engineering, Mechanical Engineering, Aerospace Engineering, etc. Therefore, as a TA in FEM and advanced FEM course, who also held several sessions and workshops for MATLAB programming and developing FEM codes, I started to develop many demonstrations and educational toolboxes to help students internalize these technical steps. The following is the datails regarding these packages and codes predented in the three sub-sections.

In addition to the set of snippets and demos, a general FEM toolbox is developed in MATLA, which can be used for both educational and research purposes. This package is based on the implementation of the book, “Applied Mechanics of Solids”, by Allan F. Bower, and handled by a simple, yet user-friendly, graphical user interface (GUI) in MATLAB, and can be employed to analyze 2D and 3D mechanical structures, including trusses, frames, plane stress and plane strain, and general 3D solid.

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Sample runs:

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A complete handbook is also provided in Docs folder.