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.   

HI all

     I am Karthikeyan pursuing my
M.S in Rotating Machinery Design. Its high time for me to take up the
project. So I decided to take my project in Fracture or Fatigue. I am
interested in Thermal fiels also. So I would like to do my project in
Thermal Fatigue fracture side. So I would like to get your suggestions
and some topics to take out work.

    I am
interested in coding also so if anybody give guidelines to develop an
element for this analysis then I will be grateful for them.

With Regards

Karthikeyan.G 

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. I will compare my numerical results with analytical results for the various cross-sections.

The mechanical performance of a homogeneous material can be varied by the addition of second-phase particles. In this project, we will model a planar composite under plastic deformation. As shown on the following figure, the composite consists of matrix material and randomly-distributed inclusion particles. The matrix is assumed to be an elastic-plastic material with isotropic or kinematic hardenings, and the inclusion particle pure elastic with a higher Young’s modulus. The stress/strain field throughout the composite will be calculated numerically with finite element method. The effective constitutive behavior of the composite will be evaluated and compared with theoretical and experimental results from literature [1, 2].

Due to maturity of FEM package, slip-line field theory is not widely used these days. However, we shall keep in mind that slip-line field analysis can provide analytical solutions to a number of very difficult problem which may involve huge deformations or velocity discontinuities, e.g. many metal forming processes. To evaluate these two analytical and numerical methods for plasticity I will try a simple example, compare these two solutions and finally get into a conclusion of my own.

I guess it's time that I cite some papers that are relevant to what I am looking at. A paper byL.Mahadevan et al.: Elements of draping
and another one
Confined elastic developable surfaces: cylinders, cones and the elastica,

http://imechanica.org/node/add/imageI propose to investigate an elastic-viscoplastic constitutive model proposed by Anand and Gurtin [1] for the large deformation of amorphous solids.  Specifically, I will present the constitutive framework proposed for elastic-plastic amorphous materials, I will implement the constitutive equations into Abaqus/Explicit, and I will compare numerical results with experimental results for polycarbonate [2]. 

3 Papers that might be useful for Will Adam's final project (attached)

We studied in class the phenomenon of resonance in forced, damped oscillators.  The mass and stiffness of a one-dimensional oscillator give rise to a natural frequency of oscillations known as the resonance frequency.  With no damping, energy input at this frequency accumulates and the amplitude of vibrations increases.

The phenomenon of resonance generalizes to linear elastic materials with many more (ie infinite) degrees of freedom: energy input at a natural frequency of vibration will accumulate and result in increasing amplitude of vibration.  The natural frequency in this case is determined by material properties (ie Young's modulus) and the geometry and dimensions of the object (ie a wine glass).  With so many degrees of freedom, the resonance frequency of common objects may be impossible to calculate exactly and it may be necessary to use the finite element method to investigate resonance.

The cardiac myocyte is the basic contractile unit of the heart. In addition to potentiating contraction through chemical and electrical means, each myocyte is a complex sensor that monitors the mechanics of the heart. Through largely unknown means, mechanical stimuli are transduced into biochemical information and responses. Such mechanotransduction has been implicated in the etiology of many cardiovascular pathologies [1]. One such mechanical parameter that the myocyte most likely monitors is the hydrostatic pressure in the myocardium.

Measuring mechanical properties of materials on a very small scale is a difficult, but increasingly important task. There are only a few existing technologies for conducting quantitative measurements of mechanical properties of nanostructures, and nano-indentation is the leading candidate. In this project, we simulate the nano-indentation tests of thin film materials using finite element software ABAQUS. The materials properties and test parameters will be taken from references on nano-indentation experiments [1, 2]. Therefore, the model can be validated by comparing its predictions with experiment results. In addition, we will change 1) the thickness of the thin film and 2) the material of the substrate (for the thin film) in the model, in order to study substrate's effects on nano-indentation tests.

Everyone has seen how a table cloth hangs over the edge of the table. The way in which the excess material is accomodated, that is, the nature of the wrinkles, may depend on the material properties of the table cloth, the angle which the edge of the table is making (a right angle in the case of most tables but one can imagine the wrinkles of a table cloth draped over a circular table, or for that matter any shaped table).

If you aren't quite sure what I am talking about then take a scarf or any isotropic homegenous material and just susupend it of the corner of your desk.

I don't have any article to cite. I don't know if any work has been done on this. My aim is to read Landau Lifshitsz and attack this problem from first principals.

I would also like to use Abaqus to see if I can simulate the system. And then vary things likes E and poisson's ratio etc. And also the angle of the corner makes etc.

Please see the attached PDF document for ES240 project proposal.

Please see the attached documents for the presentation and report files for this project (updated on 12/16/2006).

Physical stresses may bring us unhappy experiences, pain and sourness, even worse, the fracture of bones. Tennis elbow is not a syndrome appearing among tennis players. I believe most of us have this kind unpleasant experience occasionally. Pain or sourness accompanies laterally after over-using our muscle in the same region, waking up with a sour arm after overusing the computer last night, for instance. Surveying some papers I find doctors use MRI (magnetic resonance imaging) to observe how stresses build up in the pain region and how severe stresses induce fracture.

I am preforming my research at the Microrobotics Laboratory. Here I am will be designing systems for a micromechanical fish. One of the researchers in the lab has been prototpying a design for the fin mechanism. For this project, I plan to analyze and optimize her design using ABAQUS. The need for this is clear: due to the size and inertia restrictions of working on the millimeter scale, it is important to not overdesign the systems. We will be working near the limits of the materials.

In the ventricle of the heart, the cells (myocytes) are not isotropically arranged. Myocytes are cylindrically shaped and align edge to edge, and then form a large sheet of parallel rows of aligned cells. This "sheet" is wrapped around itself to form the thick wall of the heart. Myocytes are mechanically coupled to each other by desmosomes, and are electrically coupled to each other by connexins. These connections are extremely important in assuring the heart beats synchronously.

In this project, I will attempt to analyze the stresses and vibrations produced by a stroke of a golfer on the club in order to determine the drivers “sweet spot.”  The sweet spot is the spot on the clubface, which causes the lease amount of vibration and force transfer to the golfers hand thus giving the golfer the best energy transfer, feel and therefore, the best drive. (Cross, The Sweet Spot of a baseball bat)   Anyone who plays golf can quickly approximate the location of the sweet spot so I will attempt to verify its location through finite element analysis.

Each student creates a project that addresses a phenomenon or issue in plasticity theory, and presents it in class after the winter break. The scope of the projects is very wide: experimental, computational, or a critical discussion of one or more papers. The project contributes 30% of the grade, distributed as follows:

• 5%: November 30 Thursday. Post your project proposal in iMechanica.

1. Title. ES 246 project: e.g. Plastic buckling of plates.
2. Tags. Use the following tags: ES 246, plasticity, Fall 2006, project
3. Body. (i) Describe the project. (ii) Cite at least 1 journal article.

• 5%: December 7 Thursday. Post a comment to critique the project proposal of at least 1 classmate.
  
  

Update on 15 November 2006. A link to all posted projects.

Each student creates a distinct project that (a) addresses a phenomenon or design, and (b) involves a serious use of ABAQUS. The project contributes 25% of the grade, distributed as follows:

• 5%: November 14 Tuesday. Post your project proposal in iMechanica.

1. Title. ES 240 project: e.g., An analysis of human femur.
2. Tags. ES 240, solid mechanics, Fall 2006, project
3. Body. (i) Describe the project. (ii) Explain how FEM contributes to the project. (iii) Cite at least 1 journal article.

• 2%: November 21 Tuesday. Post a comment to critique the project proposal of at least 1 classmate. Try to make constructive suggestions. Cite at least 1 additional journal article.
• 8%: December 12 Tuesday (1:00-4:00 pm). 15 minute project presentation. Use power point slides.
• 10%: December 19 Tuesday Upload (a) power point file of your presentation, and (b) word file of your final project report. Please upload to the same blog entry as your project proposal.

Some past projects