2.094 | Spring 2011 | Graduate

Finite Element Analysis of Solids and Fluids II


Term Project

Every student is required to complete a term project. The objective of this task is that each student obtains hands-on experience in solving analysis problems using a typical finite element code. The term project should address a problem solution in solids and structures, fluid flows or fluid-structure interactions using ADINA.

Some suggested projects:

  1. Large deformation analysis of a rubber sheet with holes.
  2. Large deformation analysis of a thick-walled rubber cylinder subjected to internal pressure.
  3. Large displacement collapse analysis of an elastic thin structure (beam, plate, shell structure).
  4. Elasto-plastic collapse analysis of a structure, for example a truss bridge.
  5. Thermal stress analysis of a structure.
  6. Analysis of fluid flow in a chamber or around an obstruction.
  7. Analysis of a forced or natural convection fluid flow problem.
  8. Analysis of a fluid-structure interaction problem.
  9. Analysis of a problem related to your research.
  10. Develop a nonlinear finite element program based on STAP. (See textbook)

Note: Please choose a (tractable) problem that you can analyze in depth in the very limited time available.

The project work is typically started around the beginning of March and typically involves the following steps:

  • Choose a physical problem and consider a “simple” mathematical model of the problem (geometry, loading, material data, boundary conditions) such that in the first instance you can compare your finite element solution results with some analytical results.
  • Solve this “simple” mathematical model using ADINA. Obtain an accurate solution by choosing appropriate elements and meshes.
  • Next increase the complexity of the mathematical model (for example, assume that the material response is nonlinear) and re-solve. Obtain an accurate solution. Ask “what if” questions and experiment with the finite element method.
  • In each case, interpret the calculated response considering the accuracy of the solution of the mathematical model and the adequacy of the mathematical model for the physical problem.

Please hand-in on March 4, 2008 a short description (a few sentences) of the project you would like to select. This description must be approved for you to proceed.

Student Reports

The following student projects from the Spring 2008 class are offered as examples of the work expected in response to this assignment. All work is presented courtesy of the student named, and is used with their permission.

Ofer Aharon, “Hydrofoil Analysis using CFD.” (PDF - 1.3MB)

Ankur Bajoria, “Analyzing Wind Flow Around the Square Plate using ADINA.” (PDF)

Meng Luo, “Ductile Fracture Characterization of an Aluminum Alloy Sheet using Numerical Simulations and Tests.” (PDF)

Course Info

As Taught In
Spring 2011
Learning Resource Types
Problem Sets with Solutions
Exams with Solutions
Lecture Notes
Projects with Examples