**MCE
561 Computational Methods in Solid Mechanics**
**Spring 20****10**

**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. |

**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, . . .
**(WALSH)**

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
**(LIU)
**

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 **(PLOURDE)
**

(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)**

**(WRIGHT)
**

18. Computer Code Applications/Developments

(Use
or Modify Text or Commercial Codes to investigate particular applications)

- Stress
Concentration Studies **(BROWN)**

- 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

- Other