MCE 561 Computational Methods in Solid Mechanics
Spring 2010

Semester Project Information

The course project involves a literature review or computer application study of a particular course related topic.  This work is to be reported in a written paper covering a description of your findings.  Your paper should start briefly with the fundamentals from class, logically develop and explain the new material, present some applications if possible and then give a summary and some conclusions about your study.  You should consult several references (5-10) and these should be discussed in some detail in your report.  You may freely photocopy any figures or tables from any reference to use in your paper; however, you must indicate the source of such information.  Your word-processed report must be clearly written, properly formatted, double-spaced, and proper referencing is required.  Paper length is variable with most falling between 15-20 pages including figures.  Contents should include: title page, introduction, main body divided into sections, figures, list of references.  Papers of those pursuing a computer code development or application may lead to a somewhat different format, and this should be discussed with me. Further format details are provided in the Term Paper Instructions.  Written reports are due at the end of the term (exact date to be specified later).  Topic approval must be secured before you start, and it is recommended that you consult with me on issues of content, coverage, breadth, depth, etc. as you work on the project.  Normally I can help provide ideas for initial source reference materials, and the library electronic search system is also a valuable resource as is the web in general.

Possible Topics  

1. Coupling Finite and Boundary Element Methods
2. Finite Element Methods for Solving the Navier-Stokes Equations  
3. Finite or Boundary Element Methods in Fracture Mechanics
4. Finite or Boundary Element Applications for Inelasitc Material Behavior
5. Grid Generation: Boundary Fitted, Adaptive, Delaunay Triangularization, Voronoi Tessellation, . . .
6. Meshless Methods (NGUYEN)
7. Use of Expert and Adaptive Systems with Finite Element Techniques
8. Wave Propagation Problems Using Finite or Boundary Element Methods
9. Special Elements: Mixed, Hybrid, Singular, Infinite Elements
10. Finite Deformation Problems Using Finite Elements
11. Nonhomogeneous Finite Element Analysis 
12. Finite Element Techniques for Plate and/or Shell Structures 
13. Shear Locking and Reduced Integration Issues in FEM Modeling

14. Use of Finite Elements for Microstructural Material Modeling 
      (Micropolar/Couple Stress Theory, Higher Gradient Theories, Elastic Networks, Microplane Models, etc.)
15. Computational Methods for Discrete and Discontinuous Material
      (Discrete Element Method, Discontinuous Deformation Analysis Method, Block Codes, etc.)
16. Finite Element Applications in Geomechanics  (BAITTINGER)
17. Finite Element Applications in Biomechanics (WRIGHT)
18. Computer Code Applications/Developments
       (Use or Modify Text or Commercial Codes to investigate particular applications)
            - Stress Concentration Studies (BROWN)
- Dynamic & Wave Propagation Modeling
            - Inelastic Modeling
            - Comparisons of Convergence Properties 
            - Beam Studies: Euler-Bernoulli, Timoshenko, Continuum
         - Plate or Shell Analysis 
            - Inclusion Modeling 
            - Thermal Stress Analysis
         - MATLAB Code (BURGER)
         - Beam Vibration Studies (KIM)
            - Other