Final: Fractal Element Method

Title: Fractal Element Method

Artist: Woongkee Min (Sean)

Completion Date: March 16, 2015

Place of Creation: Structural and Material Engineering Building

Style: Computer Graphic

Technique: 3D Modeling and Simulations

Material: Solidworks Program


Figure 1. Meshing of the Tetrahedron

Finite element analysis method is a very useful tool that allows us to analyze how a certain object with a specific material property and geometry reacts to physical loads such as pressure and temperature. Finite element method works by dividing the body into smaller shapes (i.e. elements), analyzing each element, then summing up the results of each elements in a systematic way. Solidworks is a software that engineers and designers use to create 3D models, and the program also has a simulation function that is based on the finite element method.

The shape of the element that we learned in class was tetrahedron, so I decided to create tetrahedron in solidworks and apply pressure and temperature loads to it and run simulation.

Although this is not a direct application of fractals, the idea of fractal is still incorporated. The elements of a fractal makes up the whole fractal, and by looking into the portion of the fractal, one can see the bigger picture, just like how the each elements in finite element method allows one to analyze the whole body.

Figure 2. Displacement of the Tetrahedron


Figure 3. Strain of the Tetrahedron


Figure 4. Temperature Gradient of the Tetrahedron


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