project

This is my final project.

Attached please find my final project.

This is the pdf file for the final project given by Andew and Lei.

Here is the powerpoint of the final project, presented by Stevie Steiner and myself.

Attached is a PDF version of the PowerPoint presentation from our final project, titled "Viscous Deformation of a Quartz Tube Caused by Furnace Malfunction:  Analysis and Modeling".

See Attached

Lei and I will be working on developing the appropriate relations and numerical methods for topological optimization of  2D ideal structures.  In this constraint-based optimization study we will try to determine the density distribution which minimizes the strain energy for a fixed volume of material.  This problem is a subset of the so-called "G-closure" problem in topological optimization where we have restricted our possible configurations to certain ideal geometries.   

Find attached my powerpoint presentation and my report.

I plan to explore the Saint-Venant torsion problem applied to prismatic bars with elastic-plastic behavior. Wagner and Gruttmann have developed a finite element method to obtain the elastic/plastic stresses of a bar using a single load step. In particular, I will present the constitutive model that they have developed, and then use ABAQUS to apply Wagner and Gruttmann’s model to various cross-sections. I will try to reproduce their results for some simple cross-sections, as well as exploring some more complicated cross sections.